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Optimal Control, Stabilization and Nonsmooth Analysis

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Marcio S. Queiroz
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  2. Michael Malisoff
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  3. Peter Wolenski
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  • Facilitates the interaction between leading mathematical experts in nonsmooth analysis and engineers who are increasingly using nonsmooth analytic tools
  • Authoritative surveys by world experts on control theory and control engineering
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 301)

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Table of contents (24 papers)

  1. Front Matter

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  2. Discrete Time Receding Horizon Optimal Control: Is the Stability Robust?

    • Andrew R. Teel
    Pages 3-27

  3. On the Interpretation of Non-anticipative Control Strategies in Differential Games and Applications to Flow Control

    • J.M.C. Clark, R.B. Vinter
    Pages 29-47

  4. Nonuniqueness in Systems of Hamilton-Jacobi Equations

    • Daniel N. Ostrov
    Pages 49-59

  5. On Impulses Induced by Singular Perturbations

    • Zvi Artstein
    Pages 61-72

  6. Optimal Control of Differential-Algebraic Inclusions

    • Boris Mordukhovich, Lianwen Wang
    Pages 73-83

  7. Necessary and Sufficient Conditions for Turnpike Optimality: The Singular Case

    • Alain Rapaport, Pierre Cartigny
    Pages 85-100

  8. Min–Plus Eigenvector Methods for Nonlinear \(\rm H_\infty\) Problems with Active Control

    • Gaemus Collins, William McEneaney
    Pages 101-120

  9. Optimization and Feedback Control of Constrained Parabolic Systems under Uncertain Perturbations

    • Boris S. Mordukhovich, Ilya Shvartsman
    Pages 121-132

  10. Interconnections of Monotone Systems with Steady-State Characteristics

    • David Angeli, Eduardo Sontag
    Pages 135-154

  11. Asymptotic Controllability and Input-to-State Stabilization: The Effect of Actuator Errors

    • Michael Malisoff, Eduardo Sontag
    Pages 155-171

  12. The Stabilization Problem: AGAS and SRS Feedbacks

    • Ludovic Rifford
    Pages 173-183

  13. Stabilization by Patchy Feedbacks and Robustness Properties

    • Fabio Ancona, Alberto Bressan
    Pages 185-199

  14. Control of Interconnected Nonlinear Systems: A Small-Gain Viewpoint

    • Zhong-Ping Jiang
    Pages 201-214

  15. Quantitative Aspects of the Input-to-State-Stability Property

    • Lars Grüne
    Pages 215-230

  16. Explicit Formulae for Boundary Control of Parabolic PDEs

    • Andrey Smyshlyaev, Miroslav Krstic
    Pages 231-249

  17. A Continuous Control Mechanism for Uncertain Nonlinear Systems

    • Bin Xian, Marcio S. de Queiroz, Darren M. Dawson
    Pages 251-264

  18. Lyapunov Functions and Feedback in Nonlinear Control

    • Francis Clarke
    Pages 267-282

  19. Techniques for Nonsmooth Analysis on Smooth Manifolds I: Local Problems

    • Yu. S. Ledyaev, Qiji J. Zhu
    Pages 283-297

  20. Techniques for Nonsmooth Analysis on Smooth Manifolds II: Deformations and Flows

    • Yu. S. Ledyaev, Qiji J. Zhu
    Pages 299-311
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About this book

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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