Optimal Control, Stabilization and Nonsmooth Analysis

By: Marcio S. de Queiroz (Editor), Michael Malisoff (Editor), Peter Wolenski (Editor)

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Paperback | 1 June 2004

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This edited book contains selected papers presented at the Louisiana Conference on Mathematical Control Theory (MCT'03), which brought together over 35 prominent world experts in mathematical control theory and its applications. The book forms a well-integrated exploration of those areas of mathematical control theory in which nonsmooth analysis is having a major impact. These include necessary and sufficient conditions in optimal control, Lyapunov characterizations of stability, input-to-state stability, the construction of feedback mechanisms, viscosity solutions of Hamilton-Jacobi equations, invariance, approximation theory, impulsive systems, computational issues for nonlinear systems, and other topics of interest to mathematicians and control engineers. The book has a strong interdisciplinary component and was designed to facilitate the interaction between leading mathematical experts in nonsmooth analysis and engineers who are increasingly using nonsmooth analytic tools.

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Optimal control, optimization, and Hamilton-Jacobi-Bellman equations
Discrete time receding horizon optimal control : is the stability robust?	p. ä
On the interpretation of non-anticipative control strategies in differential games and applications to flow control	p. ä
Nonuniqueness in systems of Hamilton-Jacobi equations	p. ä
On impulses induced by singular perturbations	p. ä
Optimal control of differential-algebraic inclusions	p. ä
Necessary and sufficient conditions for turnpike optimality : the singular case	p. ä
Min-plus eigenvetor methods for nonlinear H[subscript [infinity]] problems with active control	p. ä
Optimization and feedback control of constrained parabolic systems under uncertain perturbations	p. ä
Stabilization and Lyapunov functions
Interconnections of monotone systems with steady-state characteristics	p. 135
Asymptotic controllability and input-to-state stabilization : the effect of actuator errors	p. 155
The stabilization problem : AGAS and SRS feedbacks	p. 173
Stabilization by patchy feedbacks and robustness properties	p. 185
Control of interconnected nonlinear systems : a small-gain viewpoint	p. 201
Quantitative aspects of the input-to-state-stability property	p. 215
Explicit formulae for boundary control of parabolic PDEs	p. 231
A continuous control mechanism for uncertain nonlinear systems	p. 251
Nonsmooth analysis and applications
Lyapunov functions and feedback in nonlinear control	p. 267
Techniques for nonsmooth analysis on smooth manifolds I : local problems	p. 283
Techniques for nonsmooth analysis on smooth manifolds II : deformations and flows	p. 299
Stationary Hamilton-Jacobi equations for convex control problems : uniqueness and duality of solutions	p. 313
Smooth and nonsmooth duality for free time problems	p. 323
One sided lipschitz multifunctions and applications	p. 333
A characterization of strong invariance for perturbed dissipative systems	p. 343
Generalized differentiation for moving objects	p. 351
Table of Contents provided by Blackwell. All Rights Reserved.

Optimal Control, Stabilization and Nonsmooth Analysis

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