System Theory, 2000
Modeling, Analysis and Control
The Springer International Series in Engineering and Computer Science Series, Vol. 518

System Theory: Modeling, Analysis and Control contains thirty-three scientific papers covering a wide range of topics in systems and control. These papers have been contributed to a symposium organized to celebrate Sanjoy K. Mitter's 65th birthday. The following research topics are addressed: distributed parameter systems, stochastic control, filtering and estimation, optimization and optimal control, image processing and vision, hierarchical systems and hybrid control, nonlinear systems, and linear systems. Also included are three survey papers on optimization, nonlinear filtering, and nonlinear systems.
Recent advances are reported on the behavioral approach to systems, the relationship between differential games and robust control, estimation of diffusion processes, Markov processes, optimal control, hybrid control, stochastic control, spectral estimation, nonconvex quadratic programming, robust control, control algorithms and quantized linear systems. Innovative explorations are carried out on quantum systems from a control theory perspective, option valuation and hedging, three-dimensional medical visualization, computational structure biology image processing, and hierarchical approaches to complex systems, flow control, scheduling and force feedback in fluid mechanics. The contents reflect on past research accomplishments, current research activity, and future research directions in systems and control theory.

Preface. List of Figures. 1. Sanjoy K. Mitter: A Scholar, a Gentleman and a Friend; I.C. Schick. 2. Fictitious Domains and Approximate Controllability; J.-L. Lions. 3. Dissipative Distributed Systems; J.W. Willems. 4. Systems Theory over Finitely Generated Abelian Groups; F. Fagnani, S. Zampieri. 5. Regularity of Solutions to Hamilton-Jacobi Equations; A.C.G. Mennucci. 6. On the Stochastic Control of Quantum Ensembles; R. Brockett, N. Khaneja. 7. Some Applications of Fractional Brownian Motion to Linear Systems; T.E. Duncan. 8. Uniform Stability of Controlled Markov Processes; V.S. Borkar. 9. Deterministic and Stochastic Approaches to Nonlinear Filtering; W.H. Fleming. 10. Risk-Averse Designs: From Exponential Cost to Stochastic Games; T. Basar. 11. MAP Estimation of Diffusions - An Updated Account; O. Zeitouni. 12. Probabilistic Pursuit; U.V. Chaudhari. 13. Advances in High-resolution Spectral Estimation; C.I. Byrnes, et al. 14. Redundancy Elimination in the Estimation of Multiple Paths; S. Casadei. 15. Optimization - A Many Splendored Thing; Y.-C. Ho. 16. On the Regularity of Optimal Controls; R. Vinter. 17. Runge-Kutta Discretizations of Optimal Control Problems; W.H. Hager. 18. Option Valuation and Hedging with Basis Risk; M. Davis. 19. Nonconvex Quadratic Programming, Semidefinite Relaxations and Randomization Algorithms in Information and Decision Systems; E. Feron. 20. On Area Preserving Mappings of Minimal Distortion; S. Angenent, et al. 21. 3D Virus Structures from Model-Based Inverse Problems; Y. Zheng, P.C. Doerschuk. 22. Some Extensions of the Spring Model for Image Processing; J.L. Marroquin. 23. A Question About Hierarchical Systems; P. Varaiya. 24. A Hybrid Control Architecture for Aggressive Maneuvering of Autonomous Aerial Vehicles; E. Frazzoli, et al. 25. An Agent Based Identification System; W. Kohn. 26. A Decomposition Approach to Scheduling of Failure-Prone Transfer Lines; C.-H. Hsu, J.S. Shamma. 27. Two Timescale SPSA Algorithms for Rate-Based ABR Flow Control; S. Bhatnagar, et al. 28. Activation of Nonlinear Feedback Concepts; P. Kokotović, M. Arcak. 29. Categories of Nonlinear Dynamic Models; R.K. Pearson. 30. Comments on Dissipative Designs and the TORA Benchmark; G. Tadmor. 31. Displacement Structure and &mathH;∞ Problems; T. Constantinescu, et al. 32. Quantized Linear Systems; N. Elia. 33. Combined Simulation with Real-Team Force Feedback: A New Tool for Experimental Fluid Mechanics; F.S. Hover, M.S. Triantafyllou. 34. Stability Preserving Maps; T.E. Djaferis. Index.