Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control: Vol 78 (The IMA Volumes in Mathematics and its Applications) - Hardcover

 
9780387947648: Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control: Vol 78 (The IMA Volumes in Mathematics and its Applications)

Inhaltsangabe

This volume brings together internationally recognized authorities in both geometric and nonsmooth analysis methods in optimal control and its applications. The topics covered include geometric and nonsmooth analysis techniques in various problems of optimal control, and stabilization for nonlinear dynamical systems governed by ordinary and partial differential equations and differential inclusions. The powerful mathematical techniques that have been developed in deterministic optimal control theory make it possible to derive more detailed information about the structure of solutions then could have been obtained in the past. This volume addresses this topic as well as supports new algorithmic approaches to the calculation of solutions. This volume is suitable for mathematicians and students.

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Reseña del editor

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.

Reseña del editor

This volume brings together internationally recognized authorities in both geometric and nonsmooth analysis methods in optimal control and its applications. The topics covered include geometric and nonsmooth analysis techniques in various problems of optimal control, and stabilization for nonlinear dynamical systems governed by ordinary and partial differential equations and differential inclusions. The powerful mathematical techniques that have been developed in deterministic optimal control theory make it possible to derive more detailed information about the structure of solutions then could have been obtained in the past. This volume addresses this topic as well as supports new algorithmic approaches to the calculation of solutions. This volume is suitable for mathematicians and students.

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9781461384915: Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control: 78 (The IMA Volumes in Mathematics and its Applications)

Vorgestellte Ausgabe

ISBN 10:  1461384915 ISBN 13:  9781461384915
Verlag: Springer, 2011
Softcover