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Optimal Control, Stabilization and Nonsmooth Analysis

2004-04-20 Technology & Engineering
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Release : 2004-04-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 307/5 ( reviews)

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Book Synopsis Optimal Control, Stabilization and Nonsmooth Analysis by : Marcio S. de Queiroz

Download or read book Optimal Control, Stabilization and Nonsmooth Analysis written by Marcio S. de Queiroz. This book was released on 2004-04-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Control, Stabilization and Nonsmooth Analysis

2014-03-12 Technology & Engineering
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Release : 2014-03-12
Genre : Technology & Engineering
Kind : eBook
Book Rating : 931/5 ( reviews)

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Book Synopsis Optimal Control, Stabilization and Nonsmooth Analysis by : Marcio S. de Queiroz

Download or read book Optimal Control, Stabilization and Nonsmooth Analysis written by Marcio S. de Queiroz. This book was released on 2014-03-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 893/5 ( reviews)

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Book Synopsis Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control by : Boris S. Mordukhovich

Download or read book Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control written by Boris S. Mordukhovich. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory. " The purpose of this workshop was to concentrate on powerful mathematical techniques that have been de veloped in deterministic optimal control theory after the basic foundations of the theory (existence theorems, maximum principle, dynamic program ming, sufficiency theorems for sufficiently smooth fields of extremals) were laid out in the 1960s. These advanced techniques make it possible to derive much more detailed information about the structure of solutions than could be obtained in the past, and they support new algorithmic approaches to the calculation of such solutions. We thank Boris S. Mordukhovich and Hector J. Sussmann for organiz ing the workshop and editing the proceedings. We also take this oppor tunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control held at the Institute for Mathematics and its Applications on February 8-17, 1993 during a special year devoted to Control Theory and its Applications. The workshop-whose organizing committee consisted of V. J urdjevic, B. S. Mordukhovich, R. T. Rockafellar, and H. J.

Nonlinear and Optimal Control Systems

1997-06-23 Science
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Release : 1997-06-23
Genre : Science
Kind : eBook
Book Rating : 358/5 ( reviews)

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Book Synopsis Nonlinear and Optimal Control Systems by : Thomas L. Vincent

Download or read book Nonlinear and Optimal Control Systems written by Thomas L. Vincent. This book was released on 1997-06-23. Available in PDF, EPUB and Kindle. Book excerpt: Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.

Stabilization, Optimal and Robust Control

2008-08-17 Technology & Engineering
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Release : 2008-08-17
Genre : Technology & Engineering
Kind : eBook
Book Rating : 447/5 ( reviews)

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Book Synopsis Stabilization, Optimal and Robust Control by : Aziz Belmiloudi

Download or read book Stabilization, Optimal and Robust Control written by Aziz Belmiloudi. This book was released on 2008-08-17. Available in PDF, EPUB and Kindle. Book excerpt: Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail. The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.

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