Optimal Control, Stabilization and Nonsmooth Analysis

Front Cover
Marcio S. de Queiroz, Michael Malisoff, Peter Wolenski
Springer Science & Business Media, Apr 20, 2004 - Technology & Engineering - 361 pages
0 Reviews

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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Is the Stability Robust?
3
On the Interpretation of Nonanticipative Control Strategies in Differential Games and Applications to Flow Control
29
Nonuniqueness in Systems of HamiltonJacobi Equations
49
On Impulses Induced by Singular Perturbations
61
Optimal Control of DifferentialAlgebraic Inclusions
73
The Singular Case
85
MinPlus Eigenvector Methods for Nonlinear H Problems with Active Control
101
Optimization and Feedback Control of Constrained Parabolic Systems under Uncertain Perturbations
121
Quantitative Aspects of the InputtoStateStability Property
215
Explicit Formulae for Boundary Control of Parabolic PDEs
231
A Continuous Control Mechanism for Uncertain Nonlinear Systems
251
Nonsmooth Analysis and Applications
265
Lyapunov Functions and Feedback in Nonlinear Control
267
Local Problems
283
Deformations and Flows
299
Uniqueness and Duality of Solutions
313

Stabilization and Lyapunov Functions
133
Interconnections of Monotone Systems with SteadyState Characteristics
135
The Effect of Actuator Errors
155
AGAS and SRS Feedbacks
173
Stabilization by Patchy Feedbacks and Robustness Properties
185
A SmallGain Viewpoint
201
Smooth and Nonsmooth Duality for Free Time Problems
323
One Sided Lipschitz Multifunctions and Applications
333
A Characterization of Strong Invariance for Perturbed Dissipative Systems
343
Generalized Differentiation for Moving Objects
351
Copyright

Common terms and phrases

About the author (2004)

Wolenski-Louisiana State University, Baton Rouge, LA