Description |
xi, 361 pages : illustrations ; 24 cm |
Series |
Lecture notes in control and information sciences ; 301 |
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Lecture notes in control and information sciences ; 301
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Contents |
Machine derived contents note: Part I Optimal Control, Optimization, and -- Hamilton-Jacobi-Bellman Equations -- Discrete Time Receding Horizon Optimal Control: Is the -- Stability Robust? -- Andrew R. Teel 3 -- On the Interpretation of Non-anticipative Control Strategies -- in Differential Games and Applications to Flow Control -- J. M. C. Clark, R. B. Vinter 29 -- Nonuniqueness in Systems of Hamilton-Jacobi Equations -- Daniel N. Ostrov 49 -- On Impulses Induced by Singular Perturbations -- Zvi Artstein 61 -- Optimal Control of Differential-Algebraic Inclusions -- Boris Mordukhovich, Lianwen Wang 73 -- Necessary and Sufficient Conditions for Turnpike Optimality: -- The Singular Case -- Alain Rapaport, Pierre Cartigny 85 -- Min-Plus Eigenvector Methods for Nonlinear H, Problems -- with Active Control -- Gaemus Collins, William McEneaney 101 -- Optimization and Feedback Control of Constrained Parabolic -- Systems under Uncertain Perturbations -- Boris S. Mordukhovich, Ilya Shvartsman 121 -- Contents -- Part II Stabilization and Lyapunov Functions -- Interconnections of Monotone Systems with Steady-State -- Characteristics -- David Angeli, Eduardo Sontag 135 -- Asymptotic Controllability and Input-to-State Stabilization: -- The Effect of Actuator Errors -- Michael Malisoff, Eduardo Sontag 155 -- The Stabilization Problem: AGAS and SRS Feedbacks -- Ludovic Rifford 173 -- Stabilization by Patchy Feedbacks and Robustness Properties -- Fabio Ancona, Alberto Bressan 185 -- Control of Interconnected Nonlinear Systems: -- A Small-Gain Viewpoint -- Zhong-Ping Jiang 201 -- Quantitative Aspects of the Input-to-State-Stability -- Property -- Lars Griine 215 -- Explicit Formulae for Boundary Control of Parabolic PDEs -- Andrey Smyshlyaev, Miroslav Krstic 231 -- A Continuous Control Mechanism for Uncertain -- Nonlinear Systems -- Bin Xian, Marcio S. de Queiroz, Darren M. Dawson 251 -- Part III Nonsmooth Analysis and Applications -- Lyapunov Functions and Feedback in Nonlinear Control -- Francis Clarke 267 -- Techniques for Nonsmooth Analysis on Smooth Manifolds I: -- Local Problems -- Yu. S. Ledyaev, Qiji J. Zhu 283 -- Techniques for Nonsmooth Analysis on Smooth Manifolds II: -- Deformations and Flows -- Yu. S. Ledyaev, Qiji J. Zhu 299 -- Contents XI -- Stationary Hamilton-Jacobi Equations for Convex Control -- Problems: Uniqueness and Duality of Solutions -- Rafal Goebel 313 -- Smooth and Nonsmooth Duality for Free Time Problems -- Chadi Nour 323 -- One Sided Lipschitz Multifunctions and Applications -- Tzanko Donchev 333 -- A Characterization of Strong Invariance for Perturbed -- Dissipative Systems -- Tzanko Donchev, Vinicio Rios, Peter Wolenski 343 -- Generalized Differentiation for Moving Objects -- Boris S. Mordukhovich, Bingwu Wang 351 |
Summary |
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 |
Analysis |
MCT |
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Optimal control |
Bibliography |
Includes bibliographical references |
Notes |
Online version of the print title |
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System requirements: Internet connectivity, World Wide Web browser, and Adobe Acrobat reader |
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Mode of access: World Wide Web |
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Print version record |
Subject |
Mathematical optimization.
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Control theory.
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Nonsmooth optimization.
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Control theory -- Congresses.
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Mathematical optimization -- Congresses.
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Genre/Form |
Conference papers and proceedings.
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Author |
Queiroz, Marcio S. de.
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Malisoff, M. (Michael)
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Wolenski, P. (Peter)
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LC no. |
2004103120 |
ISBN |
3540213309 |
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