VITA

DAVID S. GILLIAM

PERSONAL INFORMATION

ACADEMIC EXPERIENCE:

PUBLISHED RESEARCH

- Books and Conference CD Rom
- 1.
- “Dynamical Systems, Control, Coding, Computer Vision: New trends, Interfaces, and Interplay,” Progress in Systems and Control, Birkhäuser, 1999, (501 pages), Eds. G. Picci and D.S. Gilliam.
- 2.
- “Systems and Control in the Twenty-First Century,” Progress in Systems and Control, Birkhäuser, 1997, (434 pages), Eds. C.I. Byrnes, B.N. Datta, D.S. Gilliam, C.F. Martin.
- 3.
- “Mathematical Systems Theory in Biology, Communications and Finance,” Editors Joachim Rosenthal, David S. Gilliam, IMA Volumes in Mathematics and its Applications, Springer Verlag, New York.
- 4.
- Proceedings of International Conference Mathematical Theory of Networks and Systems on CD Rom and can be downloaded from http://www.nd.edu/~mtns/ or http://texas.math.ttu.edu/mtns/www

- Journal and Conference Proceedings
- 1.
- Zero dynamics inverse design for asymptotic regulation of the heat equation: the non-colocated case, Proceedings 2009 American Control Conference, St. Louis, Mo. (2009) (co-author C.I. Byrnes).
- 2.
- The Fréchet-derivative of an analytic function of a bounded operator with some applications,” International Journal of Mathematics and Mathematical Sciences Volume 2009, Article ID 239025, 17 pages (with T. Hohage, X. Ji and F. Ruymgaart).
- 3.
- “Fourier-Cesàro approximation in the Hausdorff metric with application to noisy deconvolution. Book Chapter to appear in Advances in the GIBBS PHENOMENON with detailed introduction, published by Sampling Publishin, New York, 2009, A.J. Jerri, Editor. (co-author, F. Ruymgaart, A.C.M. van Rooij).
- 4.
- “On the use of Numerical Methods for Analysis and Control of Nonlinear Convective Systems,” Proceedings 47th IEEE Conference on Decision and Control, December 2008, (co-authors Edward Allen, John A. Burns).
- 5.
- “Some properties of canonical correlations and variates in infinite dimensions,” Journal of Multivariate Analysis 99, p 1083-1104, (2008), (co-authors J. Cupidon, R. Eubanks, F. Ruymgaart).
- 6.
- “Geometric Output Regulation for a Class of Nonlinear Distributed Parameter Systems,” Proceedings 2008 American Control Conference, Seattle, Washington, June 2008 (co-author C.I. Byrnes).
- 7.
- “The Steady-State Response of a Nonlinear Control System, Lyapunov Stable Attractors, and Forced Oscillations,” Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2008), Virginia Tech, Blacksburg, Virginia (USA), 2008, (co-author C.I. Byrnes).
- 8.
- “The delta-method for analytic functions of random operators with applications to functional data. Bernoulli 13, 1179-1194 (2007) (co-authors J. Cupidon, R. Eubanks, F. Ruymgaart).
- 9.
- “Approximate Solutions of the Regulator Equations for Nonlinear DPS,” Proceedings of the 46th IEEE Conference on Decision & Control, December 2007, (co-author C.I. Byrnes).
- 10.
- “Bifurcations and Attractors for a Boundary Feedback Controlled Burgers Equation,” Proceedings of European Control Conference 2007, Kos, Greece, 5037 - 5043, (co-authors C.I. Byrnes, J. Dockery).
- 11.
- Zero Dynamics Modeling and Boundary Feedback Design for Parabolic Systems, (with C.I. Byrnes, A. Isidori, V. Shubov), Mathematical and Computer Modelling, 44 (2006), no. 9-10, (co-authors C.I. Byrnes, A. Isidori, V.Shubov), pp. 857–869.
- 12.
- Set-point Boundary Control for the Kuramoto-Sivashinsky Equation, (with C.I. Byrnes, C. Hu), IEEE Conference on Decision and Control, 2006.
- 13.
- Interior Point Control of a Heat Equation Using Zero Dynamics Design, (with C.I. Byrnes, A. Isidori), Proceedings of 2006 American Control Conference 2006.
- 14.
- Bifurcations and Attractors for a Controlled Burgers Equation, (with Jack Dockery, C.I. Byrnes), Proceedings of MTNS 2006, Kyoto, Japan.
- 15.
- “Generalized Donaldson-Sullivan Model of a Vortex Flow,” Proceedings of 11th International Conference on Wind Engineering (with C. Mickel, V.I. Shubov, E. Vugrin) (2005).
- 16.
- Set-point boundary control for a viscous Burgers equation, (with C.I. Byrnes, A. Isidori and V. I. Shubov) New directions and applications in control theory, 43–60, Lecture Notes in Control and Inform. Sci., 321, Springer, Berlin, 2005.
- 17.
- Static and Dynamic Controllers for Boundary Controlled Distributed Parameter Systems, (with C.I. Byrnes, A. Isidori and V.I. Shubov ) Proc. 43nd IEEE Conference on Decision and Control, December 2004, pp 3324-3325.
- 18.
- Set-point boundary control for a nonlinear distributed parameter system (with D. S. Gilliam , A. Isidori and V. I. Shubov), Proceedings 42nd IEEE-CDC, pp 312-317, Dec 9-12, 2003, Maui, Hawaii.
- 19.
- “On the Steady-State Behavior of Forced Nonlinear Systems,” to appear in New Trends in Nonlinear Dynamics and Control and Their Applications, New trends in nonlinear dynamics and control, and their applications, volume 295 of Lecture Notes in Control and Inform. Sci., pages 119–143. Springer, Berlin, 2003. (with C. I. Byrnes, A. Isidori, J. Ramsey).
- 20.
- C. I. Byrnes, D.S. Gilliam, V.I. Shubov, ”Geometric theory of output regulation for linear distributed parameter systems,” Frontiers Appl. Math., (27) 139–167. SIAM, Philadelphia, PA, 2003.
- 21.
- “Regular linear systems governed by a boundary controlled heat equation,” Journal of Dynamical and Control Systems, Vol. 8, Issue 3, 341-370, (2002) (with C.I.Byrnes, D.S. Gilliam, V.I. Shubov, and G. Weiss).
- 22.
- ”The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations,” Journal of Mathematical and Computer Modeling, 35, no. 11-12, 1165–1195 (2002) (with E. Allen, J.A. Burns, J. Hill, V.I. Shubov).
- 23.
- “Output regulation for delay systems: tracking and disturbance rejection for an oscillator with delayed damping,” Proc. of IEEE Control Systems Society Conf. on Control Applications, Glascow, Scotland, (September 2002) (with C.I.Byrnes, V. I. Shubov and E. Vugrin).
- 24.
- “An Example of Output Regulation for a Distributed Parameter System with Infinite Dimensional Exosystem,” Proceedings 15th International Conference on the Mathematical Theory of Networks and Systems, (with C.I.Byrnes, J. Hood, and V. I. Shubov) (URL:http://http://www.nd.edu/ mtns/.
- 25.
- “Internal Model Based Design for the Suppression of Harmonic Disturbances,” Directions in Mathematical Systems Theory and Optimization, (A. Rantzer, and C.I. Byrnes, eds.), Lecture Notes in Information and Control Sciences, Springer-Verlag 2002 51-70, invited chapter (with C.I Byrnes, A. Isidori, Y. Ikeda, L. Marconi).
- 26.
- “The Regulator Equations for Retarded Delay Differential Equations,” Proceedings of 41st IEEE-CDC Proceedings, Dec. 2002, p. 973-974, (with C.I. Byrnes, V.I. Shubov) .
- 27.
- “Modeling Modal Based Sensors for Oscillatory Systems,” Proceedings of 41st IEEE-CDC Proceedings, Dec. 2002, p. 1725-1726. (with J. A. Burns, C. I. Byrnes, V.I. Shubov).
- 28.
- “Examples of Output Regulation for Distributed Parameter Systems with Infinite Dimensional Exosystem,” Proceedings of 40th IEEE-CDC Proceedings, Dec. 2001, 547-548, (with Christopher I. Byrnes, Jeff B. Hood, V.I. Shubov).
- 29.
- “Examples of Regular Linear Systems Governed by Partial Differential Equations,” Proceedings of 40th IEEE-CDC Proceedings, Dec. 2001, 129-130, (with Christopher I. Byrnes, V.I. Shubov).
- 30.
- “Output Regulation for Linear Distributed Parameter Systems,” IEEE Transactions Automatic Control, Volume 45, Number 12, December 2000, 2236-2252, (with Christopher I. Byrnes, Istvan G. Lauko, Victor I. Shubov).
- 31.
- “Stationary solutions for a boundary controlled viscous Burgers’ equation,” Mathematical and Computer Modeling, 2001, (with A. Balogh and Victor I. Shubov).
- 32.
- “Boundary Control, Stabilization and Zero–Pole Dynamics for a Nonlinear Distributed Parameter System,” Journal of Robust and Nonlinear Control, 9, 737-768, (1999), (with Christopher I. Byrnes and Victor I. Shubov).
- 33.
- “Semiglobal Stabilization of a Boundary Controlled Viscous Burgers Equation,” 38th IEEE-CDC Proceedings, 680-681, (with Christopher I. Byrnes and Victor I. Shubov), 1999.
- 34.
- “Example of Output Regulation for a System with Unbounded Inputs and Outputs,” 38th IEEE-CDC Proceedings, 4280-4284, (with Christopher I. Byrnes and Victor I. Shubov), 1999.
- 35.
- “On the global dynamics for a boundary controlled viscous Burgers’ equation,” J. Dynam. Control Systems, 4 (1998), no. 4, 457–519 (with Christopher I. Byrnes and Victor I. Shubov).
- 36.
- “Zero Dynamics for Relative Degree One SISO Distributed Parameter Systems,” to appear in Proc. 37th IEEE Conf. Decision and Control, (Tampa, FL, 1998) pp. 2390-2391, (with Christopher I. Byrnes, David S. Gilliam, Istvan G. Lauko, Victor I. Shubov).
- 37.
- “Conditions for Solvability of the Output Regulator Problem for SISO Distributed Parameter Systems,” to appear in Proc. 37th IEEE Conf. Decision and Control, (Tampa, FL, 1998) pp. 2392-2393, (with Christopher I. Byrnes, Istvan G. Lauko, Victor I. Shubov).
- 38.
- “Harmonic forcing for Linear Distributed Parameter Systems,” Journal of
Mathematical Systems, Estimation and Control, Summary Vol. 8, No. 2, 1998,
with C.I. Byrnes, I. Lauko and V. Shubov.

(full paper at http://www.birkhauser.com) - 39.
- “Numerical stationary solutions for a viscous Burgers’ equation,” Journal of Mathematical Systems, Estimation and Control, 1998, with J. Burns, A. Balogh and Victor I. Shubov.
- 40.
- “Some Recent Results on Feedback Regularization of Navier-Stokes Equations,” Proc. 36th IEEE Conf. Decision and Control (San Diego, CA, December 1997) with A. Balogh, and V.I. Shubov, 2231-2236.
- 41.
- “Output Regulation for Parabolic Distributed Parameter Systems: Set Point Control,” Proc. 36th IEEE Conf. Decision and Control (San Diego, CA, December 1997) with C.I. Byrnes, I. Laukó and V.I. Shubov, 2225-2230.
- 42.
- “Theoretical and numerical results for parameter estimation in nonlinear elastomers,” Proc. 36th IEEE Conf. Decision and Control (San Diego, CA, December 1997) with H.T. Banks and G. Pinter, 3733-3738.
- 43.
- “Example of output regulation for distributed parameter systems,” in 28th AIAA Fluid Dynamics Conference/ 4th AIAA Shear Flow Control Conference, July, 1997, with C.I. Byrnes, A. Isidori, I. Laukó, and V.I. Shubov.
- 44.
- “Global solvablility for damped abstract nonlinear hyperbolic systems,” Differential and Integral Equations, 10, 309-332, 1997, (with H.T. Banks and D.S. Gilliam).
- 45.
- “High gain limit for boundary controlled convective reaction diffusion equations,” Proceedings 34th IEEE Conference on Decision and Control, December 1995, with C.I. Byrnes, N. Okasha and V.I. Shubov.
- 46.
- “Well-posedness for controlled nonlinear damped membranes with fixed boundary,” Proceedings 34th IEEE Conference on Decision and Control, December 1995, with H.T. Banks and V.I. Shubov.
- 47.
- “On the dynamics of boundary controlled nonlinear distributed parameter systems,” Proceedings of IFAC Nonlinear Control Systems Symposium, June 1995, with C.I. Byrnes and Victor I. Shubov.
- 48.
- “Zero and pole dynamics for a controlled Burger’s equation,” Proceedings 33rd IEEE Conference on Decision and Control, December, 1994, with C.I. Byrnes and V.I. Shubov.
- 49.
- “Global Lyapunov stabilization of a nonlinear distributed parameter system,” Proceedings 33rd IEEE Conference on Decision and Control, December, 1994, with C.I. Byrnes and V.I. Shubov.
- 50.
- “Turbulent Behavior for a Boundary Controlled Burger’s equation,” Proceedings 33rd IEEE Conference on Decision and Control, December, 1994, with D. Lee, C.F. Martin and V.I. Shubov,
- 51.
- “Steady state response to Burgers’ equations with varying viscosity,” Progress in Systems and Control Theory, Birkhäuser, 75-98, (1995), (with C.I. Byrnes, V.I. Shubov and Z. Xu).
- 52.
- “Well-posedness for a one dimensional nonlinear beam,” Progress in Systems and Control Theory, Birkhäuser, 1-22, (1995) (with H.T. Banks, and V.I. Shubov).
- 53.
- “High gain limits of trajectories and attractors for a boundary controlled viscous Burgers’ equation,” J. Math. Sys., Est. and Control, (with C.I. Byrnes and V.I. Shubov) 8 (1998) 119-122 (summary), 8, No. 4, 1-54, Jan 1998. (The full 54 page electronic manuscript was published Oct., 1996. The retrieval code is 87727.)
- 54.
- “Convergence of trajectories for a controlled viscous Burgers’ equation,” Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena Birkhauser-Boston, 1994, with C.I. Byrnes and V.I. Shubov.
- 55.
- “Root locus and boundary feedback design for a class of distributed parameter systems,” with C.I. Byrnes and J. He, SIAM J. Control and Opt. 32, No. 5, 1364-1427, September, 1994.
- 56.
- “Boundary feedback control of a a viscous Burger’s equation,” with C.I. Byrnes and V. Shubov, Identification and control in systems governed by partial differential equations H.T. Banks, R.H. Fabiano and K. Ito (Eds.), SIAM, 1993, 171-185.
- 57.
- “Boundary feedback stabilization for a viscous Burgers’ equation,” with C.I. Byrnes, Proceedings of 31st IEEE Conference on Decision and Control, Tucson, 1992.
- 58.
- “A root locus methodology for distributed parameter systems,” with C.I. Byrnes and J. He, Proceedings of 31st IEEE Conference on Decision and Control, Tucson, 1992.
- 59.
- “Steady-state solution’s of Maxwell’s equations over a three dimensional half space,” with J.R. Schulenbeger, Journ. Diff. and Integral Equations, 1992.
- 60.
- “Elastic waves in a three-dimensional half space: The Lamb problem,” with J.R. Schulenbeger, Texas Tech University Mathematics Series, 1992.
- 61.
- “Rate of convergence of the empirical radon transform,” (with F.H. Ruymgaart and P. Hall), Journ. Multivariate Anal., (1993), no. 1, 115–145.
- 62.
- “Boundary stabilization and attractors for a controlled Burgers’ equation,” with C.I. Byrnes, Progress in Systems and Control Theory, Birkhäuser, 105-120, (1993).
- 63.
- Decentralized Feedback Pole-Placement of Linear systems (with Xiao-Chang Wang, C.I. Byrnes and C.F. Martin), Int. J. Control, 55 (1992) 511 - 518.
- 64.
- “Inverse parabolic problems and discrete orthogonality,” (with C.F. Martin and J. Lund) Numerische Mathematik, 59, 361-383, (1991).
- 65.
- “A Regularization Method for inverse heat conduction problems,” (with C.F. Martin, J. Lund, and B. Mair), Computation and Control II, Progress in Systems and Control Theory, Birkhäuser, 135-150, (1991).
- 66.
- “A root locus methodology for parabolic distributed parameter systems,” (with C.I. Byrnes and Jianqiu He), Computation and Control II, Progress in Systems and Control Theory, Birkhäuser, 63-84, (1991).
- 67.
- “An inverse convolution method for regular parabolic equations,” (with C.F. Martin and B. Mair), SIAM J. Control and Optimization, 29, No. 1, 71-88, (1991).
- 68.
- “Boundary feedback design for nonlinear distributed parameter systems,” (with C.I. Byrnes) Proceedings 30th IEEE Conference on Decision and Control, Brighton, England, 2340-2343, (1991).
- 69.
- “Stability of a convolution method for inverse heat conduction problems,” (with B.A. Mair), J. Math. Systems, Estimation and Control, Vol. 1, 4, 487-497, (1991).
- 70.
- “On the decentralized-feedback pole placement of linear systems,” (with C. Byrnes, C.F.Martin and X. Wang) International Journal of Control, 55 (1992), no. 2, 511–518.
- 71.
- Gaussian quadrature for trigonometric polynomials: an example from observability, (with C.F. Martin and J. Lund), Applicable Analysis, 44 (1992), no. 3-4, 183–189..
- 72.
- “A root locus methodology for parabolic distributed parameter systems,” (with C.I. Byrnes and Jianqiu He), Proceedings of Second Conference on Computation and Control.
- 73.
- “Quantifying information content for ill-posed problems,” (with J.L. Lund and K. Vogel) Inverse Problems, 6, 725-736 (1990).
- 74.
- “Determination of initial states of parabolic systems from discrete data,” (with C.F. Martin and B. Mair) Inverse Problems, 6, 1990, 737-747.
- 75.
- “Stability of certain distributed parameter systems by low dimensional controllers: a root locus approach,” (with C.I. Byrnes) Proceedings 29th IEEE International Conference on Decision and Control, Honolulu, Hawaii, Dec. 1990.
- 76.
- “An Approximation Technique for the Observability of Regular Parabolic Systems,” (with B.A. Mair and C.F. Martin), Proceedings 29th IEEE International Conference on Decision and Control, Honolulu, Hawaii, Dec. 1990.
- 77.
- “Discrete observability of linear parabolic systems,” (with C.F. Martin and B. Mair), Signal Processing, Scattering and Operator Theory and Numerical Methods, Proceedings of the International Symposium MTNS–89, M. Kasashoek, J. van Schuppen and A. Ran, eds., Birkhäuser, Boston, 1990, 339-346.
- 78.
- “Boundary feedback stabilization of distributed parameter systems,” (with C.I. Byrnes), Signal Processing, Scattering and Operator Theory and Numerical Methods, Proceedings of the International Symposium MTNS–89, M. Kasashoek, J. van Schuppen and A. Ran, eds., Birkhäuser, Boston, 1990, 421-428.
- 79.
- “A discrete sampling inversion scheme for the heat equation,” (with J.R. Lund and C.F. Martin), Numerische Mathematik, 54, (1989), 493-506.
- 80.
- “Stabilization of large scale and decentralized systems,” (with C.I. Byrnes and C.F. Martin), Int. J. Control, 49, No. 6, (1989), 1819-1833.
- 81.
- “Discrete observability of parabolic initial boundary value problems,” Progress in Systems and Control Theory, Birkhäuser, (1988), 97-104 (with C.F. Martin and J. Lund).
- 82.
- “A convolution method for inverse heat conduction problems,” (with C.F. Martin and B.A. Mair), Mathematical Systems Theory, Vol. 21, (1988), 49-60.
- 83.
- “Observability and determination of surface temperature, I,” (with C.F. Martin and B.A. Mair), Int. J. Control, Vol. 48, No. 6, (1988), 2249-2264.
- 84.
- “Observability and inversion for the heat equation,” (with C.F. Martin and B.A. Mair), Linear Circuits, Systems and Signal Processing: Theory and Applications, C.I. Byrnes, C.F. Martin, R.E. Saeks (editors), Elsevier Publishers, The Netherlands, (1988), 363-370.
- 85.
- “Asymptotic properties of root locus for distributed parameter systems,” (with C.I. Byrnes), Proceedings of the 27th Conference on Decision and Control, Austin, Texas, December (1988), 45-51.
- 86.
- “Spectral representation of the Laplace and Stieltjes transforms,” (with J. R. Schulenberger and J. L. Lund) Matemática Aplicada E Computacional, 7, No. 2, (1988), 101-108.
- 87.
- “Discrete observability for the heat equation in bounded domains,” (with C.F. Martin and Zhu Li ), Int. J. Control, Vol. 48, No. 2, (1988), 755-780.
- 88.
- “Analytic and numerical aspects of the observation of the heat equation,” (with J.R. Lund and C.F. Martin), Proceedings of the 1987 IEEE Conference on Decision and Control, Los Angeles, CA. (1987), 975-976.
- 89.
- “Discrete Observability and Dirichlet series,” (with C.F. Martin), Systems and Control Letters, 9 (1987) 345-348.
- 90.
- “The propagation of electromagnetic waves through, along and over a three dimensional conducting half space,” (with J.R. Schulenberger) Methoden und Verfahren der mathematischen Physik, Vol.30, (1986).
- 91.
- “A simple problem for the scalar wave equation admitting surface wave and AH-wave solutions,” (with J.R. Schulenberger) Rocky Mountain J. Math., 16(2), (1986) 407-416.
- 92.
- “Spectral analysis of a dissipative problem in electrodynamics: the Sommerfeld problem,” (with J.R. Schulenberger), Acta Applicandae Mathematicae, 6, (1986), 63-94.
- 93.
- “Spectral representation of the Laplace transform and related operators,” (with J.R. Schulenberger and J.R. Lund) Proceedings of 1985 International conference on Networks and Mathematical Systems Theory, Stockholm, (1985), 69-74.
- 94.
- “The propagation of electromagnetic waves in a three dimensional asymmetric dielectric slab waveguide,” J. Math. Anal. Appl., 109(1), (1985), 31-73.
- 95.
- “Spectral analysis of the classical Sommerfeld Problem,” (with J.R. Schulenberger), Proceedings 1985 International IEEE/APS Symposium, Vancouver, (1985) 827-830.
- 96.
- “Maxwell potentials,” (with J.R. Schulenberger), Transport Theory and Statistical Physics, 12(4), (1984), 403-412.
- 97.
- “On the structure of surface waves,” (with J. R. Schulenberger), Advances in Applied Mathematics, 4 (1983), 212-243.
- 98.
- “Electromagnetic waves in a three dimensional half space with a dissipative boundary,” (with J.R. Schulenberger), J. Math. Anal. Appl., 81 (1) (1982), 129-185.
- 99.
- “Eigenfunction expansions for the equations of crystal optics in a half space,” J. of Math. Anal. and Appl., 76 no. 2, (1980) 600–622..
- 100.
- “Vector potentials for symmetric hyperbolic systems,” Rocky Mountian J. of Math.,10 (1980), 575-583.
- 101.
- “A class of symmetric hyperbolic systems with special properties,” (with J. R. Schulenberger), Comm. in Partial Diff. Equations, 4 (1979), 509-536.
- 102.
- “On integration and the Radon-Nikodym theorem in quasicomplete locally convex topological vector spaces,” J. für die reine und angewandte Mathematik, 292, (1977), 125-137.
- 103.
- “Geometry in strict Mackey convergence spaces,” Pacific J. of Math., 65 (1976), 353-364.

SPONSORED RESEARCH:

- 1.
- A mathematical analysis of Thermography (with B. Mair) Texas Advanced Research Program, 6/1/88-8/31/90, $73,602.
- 2.
- Inversion and observability of parabolic initial boundary value problems (with B. Mair and C. Martin), National Science Foundation, 8/1/89-7/31/90, $30,460.
- 3.
- Inversion and observability of parabolic initial value problems, National Science Foundation, 6/1/90-6/31/91, $11,050.
- 4.
- (consultant) Adaptive Stabilization of Nonlinear Systems, (PI C.I. Byrnes), AFOSR Grant, 1988-1990.
- 5.
- (consultant) Nonlinear Control Systems, (PI C.I. Byrnes), AFOSR Grant, 1991-1994.
- 6.
- (consultant) Nonlinear Control Systems, (PI C.I. Byrnes), AFOSR Grant, 1995-1998.
- 7.
- (Co-PI) AFOSR DEPSCOR grant through Washington University $218,974.00, 6/94 – 5/97 (funded) (1 Month Summer Support).
- 8.
- Boundary Feedback Design for Nonlinear Distributed Parameter Systems, Texas Advanced Research Program, 1/1/92-8/30/94, $45,000.
- 9.
- A Computer Classroom–Laboratory NSF ILI Program, (with Lawrence Schovanec), 9/1/93-8/31/95, $104,000.00,
- 10.
- (Co-PI) AFOSR EPSCOR grant through Washington University $218,974.00 6/94 – 5/97 (funded)
- 11.
- Acquired approximately $70,000 in computer and video equipment and software for use
at Texas Tech through DEPSCOR Grant at Washington University. This equipment
includes
Silicon Graphics Indigo2 Extreme Graphics workstation

96 Meg Ram, 1.2 GiG Hd, 4 GiG HD.

Sony SVO-9600 S-VHS Hi-Fi Video Recorder/Player

MacIntosh Centris 660 av, 24 meg Ram, CD, 17in Color Monitor, 230 Meg. HD.

HP Laser Jet 4 8 ppm printer

HP Deskjet 1200 ps color printer

- 12.
- “Laboratory Visualization Enhancement Project,” Proposal to Project 2005 at Texas Tech University, $7,899.00 (Funded).
- 13.
- Continued Funding: (Co-Principal Investigator) NSF SCREMS Grant for Beowulf Cluster, $ 100,000.00 (Funded)
- 14.
- Continued Funding: (Senior Personnel) AFOSR Grant, “Nonlinear Control Systems,” (PI C.I. Byrnes), 12/97-11/00 (3/2 Months Summer Support and significant travel funds).
- 15.
- (Co-Principal Investigator) NSF SCREMS Grant for Beowulf Cluster, $ 100,000.00 (Funded)
- 16.
- (Co-Principal Investigator) Texas Advanced Research Program Grant entitled “A Mathematical Analysis of Tornado Dynamics,” $ 66,702.00, (with V.I. Shubov).
- 17.
- Received a Supplemental ARP Grant for $8,000 for Coronado High Math Teacher Danny McNabb.
- 18.
- NSF Instrumentation and Laboratory Improvement Program, “Technology Center for Teacher Preparation,” $98,000.00, (with Lawrence Schovanec and Gary Harris), (continued funding from Prior year).
- 19.
- Continued Funding: (Senior Personnel) AFOSR Grant, “Nonlinear Control Systems,” (PI C.I. Byrnes), 12/00-11/03 (3/2 Months Summer Support and significant travel funds).
- 20.
- Continued Funding: (Senior Personnel) AFOSR Grant, “Nonlinear Control Systems,” (PI C.I. Byrnes), 12/03-11/06 (3/2 Months Summer Support).
- 21.
- Continued Funding: (Senior Personnel) AFOSR Grant, “Nonlinear Control Systems,” (PI C.I. Byrnes), 12/06-11/09 (3/2 Months Summer Support).

INVITED PRESENTATIONS 1989-Present

- 1.
- Presented talk at the AMS National Meeting in San Antonio, TX January 2006.
- 2.
- Presented talk at the ACC Conference in June 2006.
- 3.
- Presented talk at the 46th IEEE CDC Conference, San Diego, CA in December 2006.
- 4.
- Presented talk at the AMS Regional Meeting at Texas Tech University (2005).
- 5.
- Presented talk at the Joint SIAM National/Control Theory and Applications Meeting (2005).
- 6.
- Presented talk at the Workshop on Infinite-Dimensional Systems held in Waterloo, Canada (Partial support from the Fields Institute) (2005).
- 7.
- Presented talk at the 43rd IEEE CDC at Pardise Island the Bahamas, December 2004.
- 8.
- Chaired a special session at 43rd IEEE CDC Pardise Island the Bahamas, December 2004.
- 9.
- Small-Scale Spatial Mollifiers with Application to Output Regulation for Distributed Parameter Systems, presented at the Mittag-Leffler Institut in Sweden, (2003).
- 10.
- Nonequilibrium Output Regulation for Distributed Paramater Systems, Computation, Control and Biological Systems VIII Bozeman, MT (2003).
- 11.
- Speaker in SIAM Student Symposium (2003), “Nonequilibrium output regulation.”
- 12.
- Co-Organizer (with Joachim Rosenthal) of the 15th International Conference on the Mathematical Theory of Networks and Systems. I was also the Publications Chair and produced the web and CDRom version of the Conference Proceedings of reviewed papers for the conference, 2002.
- 13.
- Contributed Talk: “The regulator equations for retarded delay differential equations,” 41st IEEE Conference on Decision and Control, Las Vegas, NV, December, 2002.
- 14.
- Contributed Talk: “Modeling modal based sensors for oscillatory systems,” 41st IEEE Conference on Decision and Control, Las Vegas, NV, December, 2002.
- 15.
- Contributed Talk: “An Example of Output Regulation for a Distributed Parameter System with Infinite Dimensional Exosystem,” 15th International Conference on the Mathematical Theory of Networks and Systems 2002.
- 16.
- Speaker in SIAM Student Symposium 2002, “On Solution of the Regulator Equations.”
- 17.
- Contributed Talk: “Examples of Output Regulation for Distributed Parameter Systems with Infinite Dimensional Exosystem,” 40th IEEE Conference on Decision and Control, Orlando Florida, December.
- 18.
- Contributed Talk: “Examples of Regular Linear Systems Governed by Partial Differential Equations,” 40th IEEE Conference on Decision and Control, Orlando Florida, December.
- 19.
- Speaker in SIAM Student Symposium, “Output Regularation and Regulator Equations.”
- 20.
- (Invited Talk) “Recent Advances in Output Regulation for Distributed Parameter Systems,” at H.T. Banks 60th Birthday Symposium “Future Directions in Distibuted Parameter Control,” hosted North Carolina State University, Nov 5-8, 2000.
- 21.
- (Invited Talk) “Output Regulation for Delay Differential Systems,” 7th Conference on Computation and Control, Bozeman, Montana Aug 1-4, 2000.
- 22.
- (Invited Talk) “Output Regulation for Delay Differential Systems,” Interdisciplinary Center for Applied Mathematics, Virginia Tech & State University, Nov. 2000.
- 23.
- (Invited Talk) “On the use of computational proofs for fluid dynamical problems,” Student Chapter SIAM TTU, October 6, 1999.
- 24.
- (Invited Talk) “A comment on the use of computational proofs of non-uniqueness for fluid dynamical models,” NSF Workshop “Control of Fluids” at University of California, Dan Diego, May, 1999. All expenses for this trip were paid by the Nationl Science Foundation.
- 25.
- (Invited Talk) “Recent Advances in Output Regulation for Distributed Parameter Systems,” at C.I. Byrnes 50th Birthday Symposium hosted by Department of Systems Science and Math, Washington University, St. Louis, Dec. 1, 1999.
- 26.
- (Contributed Talk) “Example of Output Regulation for a System with Unbounded Inputs and Outputs,” 38th IEEE Conference on Decision and Control, Phoenix, AZ, Dec 7-10, 1999.
- 27.
- (Contributed Talk) “Semiglobal Stabilization of a Boundary Controlled Viscous Burgers Equation,” 38th IEEE Conference on Decision and Control, Phoenix, AZ, Dec 7-10, 1999.
- 28.
- (Speaker) “Output regulation for nonlinear distributed parameter systems,” International Conference on the Mathematical Theory of Networks and Systems, Padova, Italy (July) 1998.
- 29.
- (Invited Talk) “Output regulation for nonlinear distributed parameter systems,” 6th Conference on Computation and Control in Bozeman, Montana (August) 1998.
- 30.
- (Invited Talk) “Control of Nonlinear Distributed Parameter Systems,” Student Chapter SIAM TTU (November), 1998.
- 31.
- (Invited Talk) “Output regulation for regular linear distributed parameter systems,” Department of Systems Science and Math, Washington University, St. Louis, (March, 1998).
- 32.
- (Invited Talk) “Output regulation for distributed parameter systems,” SIAM Conference on Systems and Control, Jacksonville, Florida (May) 1998.
- 33.
- (Contributed Talk) “Conditions for Solvability of the Regulator Problem for Linear Distributed Parameter Systems,” Texas System Days, (November).
- 34.
- (Contributed Talk) “Conditions for Solvability of the Regulator Problem for Linear Distributed Parameter Systems,” 37th IEEE Conference on Decision and Control, Tampa, FL.
- 35.
- (Contributed Talk) “Zero Dynamics for Linear Distributed Parameter Systems,” 37th IEEE Conference on Decision and Control, Tampa, FL.
- 36.
- Organizer and Chair of special session entitled “Applications of Numerical, Functional and Stochastic Methods to the Analysis of Data” for International Conference on the Mathematical Theory of Networks and Systems, Padova, Italy (July) 1998.
- 37.
- (Invited Talk) “Output Regulation of Linear Distributed Parameter Systems,” University of Padova, Italy, (November).
- 38.
- Co-organizer and Chair of a special session on “Numerical methods in feedback control of Distributed Parameter Systems,” 36th IEEE Conference on Decision and Control, San Diego, (December).
- 39.
- “Output Regulation for Linear DPS,” (invited talk) Systems Science and Math, Washington University, St. Louis, (january 1996).
- 40.
- “On the Dynamics of Boundary Controlled Nonlinear Distributed Parameter Systems,” (contributed talk) MTNS96, St. Louis, MO, July 1996.
- 41.
- “On the Dynamics of Boundary Controlled Nonlinear Distributed Parameter Systems,” (invited talk) Fifth Conference on Computation and Control, Bozeman, MT, August 1996.
- 42.
- “On Numerical Stationary Solutions for a Viscous Burgers’ Equation,” (invited talk) Fifth Conference on Computation and Control, Bozeman, MT, August 1996.
- 43.
- “On the Dynamics of Boundary Controlled Nonlinear Distributed Parameter Systems,” (contributed talk) IFAC Nonlinear Control Systems Symposium, Tahoe City (May 1995).
- 44.
- “Dynamics and Control of Hydrodynamic Systems,” (invited talk) SIAM Annual Meeting. Charlotte, North Carolina (Oct. 1995).
- 45.
- “Maxwell’s equations in discontinuous dissipative media,” (invited talk) Department of Mathematics, North Carolina State University (Oct. 1995).
- 46.
- “Well-posedness for controlled nonlinear damped membranes with fixed boundary,” (contributed talk) Conference on Decision and Control, (December 1995).
- 47.
- “High gain limit for boundary controlled convective reaction diffusion equations,” (contributed talk) Conference on Decision and Control, (December 1995).
- 48.
- “Turbulent Behavior for a Boundary Controlled Burger’s equation,” Invited lecture presented at the 33rd IEEE Conference on Decision and Control, December, 1994.
- 49.
- “Control of nonlinear distributed parameter systems,” Invited lecture presented at AFOSR research briefing held at Washington University in St. Louis, September, 1994.
- 50.
- “The effect of viscousity on the steady state behavior of solutions to Burgers’ equation,” Invited lecture presented at the fourth Conference on Computation and Control held at Montana State University, Bozeman, Montana, Aug. 1994.
- 51.
- “Structure stationary solutions and attractors for a controlled viscous Burgers’ equation,” Invited lecture presented at Texas Partial Differential Equations Conference at the University of Texas at Austin, April, 1994.
- 52.
- “Structure of stationary solutions for a controlled viscous Burgers’ equation,” Invited lecture presented at University of Texas, Dallas, March, 1994.
- 53.
- Boundary controlled turbulent behavior for Burger’ Equation, Invited lecture presented at Washington University, St. Louis, Jan., 1994.
- 54.
- The effect of boundary control on the structure of stationary solutions for Burgers’ equation, Invited lecture at Annual Conference “Texas Systems Days” held at the University of Texas Arlington, November 1993.
- 55.
- Boundary Control, stabilization, existence of attractors and convergence of trajectories for a viscous Burgers’ equation, Invited talk at International Conference on Nonlinear Distributed Parameter Systems in Vorau, Austria, July 1993.
- 56.
- “Regularity of solutions and attractors for Burgers’ equation,” Invited lecture at University of Texas at Dallas, June, 1993.
- 57.
- Boundary Control, stabilization, existence of attractors and convergence of trajectories for a viscous Burgers’ equation, Invited talk at Snowbird Conference on Nonlinear Partial Differential Equations, Snowbird, Utah, April, 1993.
- 58.
- Root locus for distributed parameter systems, Invited lecture at the Department of Mathematics, University of Texas Dallas, Dec., 1992.
- 59.
- existence and local attractors for Burgers’ equation, Invited lecture presented at the Texas Systems Days Conference, Dallas, Texas, Dec. 1992.
- 60.
- Boundary feedback stabilization for a viscous Burgers’ equation, Invited lecture presented at the 31st Conference on Decision and Control, Tucson, Dec. 1992.
- 61.
- Boundary feedback control of a viscous Burgers’ equation, Invited lecture at the Department of Systems Science and Mathematics, Washington University, St. Louis, February, 1992.
- 62.
- Root locus and boundary feedback design for distributed parameter systems, Invited lecture at the Department of Systems Science and Mathematics, Washington University, St. Louis, March, 1992.
- 63.
- Boundary feedback stabilization of a controlled Burgers’ system, Invited lecture at the Institute for Computational and Applied Mathematics, Virginia Polytech and State University, April, 1992.
- 64.
- A Root locus design methodology for distributed parameter systems, Invited lecture at the Department of Electrical Engineering, University of Maryland, April, 1992.
- 65.
- Convergence of trajectories of a controlled Burgers’ system, Invited lecture at the 10th Annual Joint Summer Research Conference in Mathematical Sciences: Control and Identification of Partial Differential Equations, Mount Holyoke College, South Hadley, Mass, June, 1992.
- 66.
- Boundary stabilization and attractors for a controlled Burgers’ equation, Plenary lecture at the Third Conference on Computation and Control, Bozeman, Montana, August, 1992.
- 67.
- Convergence of trajectories of a controlled Burgers’ system, Invited lecture at the SIAM Conference on Control, Minneapolis, September, 1992.
- 68.
- Boundary control of nonlinear distributed parameter systems, Invited lecture at the Department of Mathematics, North Carolina State University, October, 1992.
- 69.
- Boundary control of a viscous Burgers’ equation, Invited lecture at the Annual Students SIAM meeting at Texas Tech University, November, 1992.
- 70.
- Root locus for distributed parameter systems, Invited lecture at the Department of Mathematics, University of Texas Dallas, December, 1992.
- 71.
- existence and local attractors for Burgers’ equation, Invited lecture at the Texas Systems Days, December, 1992.
- 72.
- Boundary feedback stabilization for a viscous Burgers’ equation, Invited lecture at the 31st Conference on Decision and Control, Tucson, December, 1992.
- 73.
- University of Southern California, April 1991.
- 74.
- Montana State University, July 1991.
- 75.
- South West Analysis Conference, Lafayette LA, Oct. 1991.
- 76.
- 30th IEEE Conference on Decision and Control, Brighton, England, Dec. 1991.
- 77.
- Università di Roma, “La Sapienza”, Dipartimento di Informatica e Sistemistica, March, 1990.
- 78.
- Università di Padova, Dipartimento di Elettronica e Informatica, March, 1990.
- 79.
- 2nd Conference on computation and Control, Bozeman, Montana, July, 1990.
- 80.
- 2nd SIAM Conference on Linear Algebra, San Francisco, November, 1990.
- 81.
- 29th IEEE Conference on Decision and Control, Honolulu, Hawaii, December, 1990.
- 82.
- International Symposium on the Mathematical Theory of Networks and Systems, Amsterdam, The Netherlands, July, 1989.
- 83.
- Royal Institute of Technology, Stockholm, Sweden, July, 1989.
- 84.
- Society of Industrial and Applied Mathematics Conference on Control in the 90’s, San Francisco, May, 1989.
- 85.
- Department of System Science and Mathematics, Washington University, St. Louis, October, 1989.

Professional Reviewing: (from a list of over 30) 1. IEEE, Trans. Auto. Control. 2. Systems and Control Letters. 3. Journal of Math. Physics. 4. Journal of Systems, Estimation and Control. 5. Journal of Integral and Differential Equations. 6. National Science Foundation 7. Air Force Office of Scientific Research 8. International Federation of Automatic Control 9. Automatica 10. IEEE Conference on Decision and Control 11. Mathematics of Control, Signals, and Systems. 12. Quarterly of Applied Math 13. IFAC 14. ACC 15. Math and Computer Modelling 16. Journal of Mathematical Physics 17. Journal of Dynamic Systems, Measurement, and Control. 18. Applied Mathematics Letters.