Mathematical Methods in Optimization of Differential Systems: 310 - Rilegato

Barbu, Viorel

 
9780792331766: Mathematical Methods in Optimization of Differential Systems: 310
Rilegato
ISBN 10: 0792331761 ISBN 13: 9780792331766
Casa editrice: Springer-Verlag GmbH, 1994

Sinossi

This volume is concerned with optimal control problems governed by ordinary differential systems and partial differential equations. The emphasis is on first-order necessary conditions of optimality and the construction of optimal controllers in feedback forms. These subjects are treated using some new concepts and techniques in modern optimization theory, such as Clarke's generalized gradient, Ekeland's variational principle, viscosity solution to the Hamilton-Jacobi equation, and smoothing processes for optimal control problems governed by variational inequalities. A substantial part of this book is devoted to applications and examples. A background in advanced calculus should enable readers to understand most of this book, including the statement of the Pontriagin maximum principle and many of the applications. This work should be of interest to graduate students in mathematics and engineering, and researchers in applied mathematics, control theory and systems theory.

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Contenuti

Preface. Symbols and Notations. I: Generalized Gradients and Optimality. 1. Fundamentals of Convex Analysis. 2. Generalized Gradients. 3. The Ekeland Variational Principle. II: Optimal Control of Ordinary Differential Systems. 1. Formulation of the Problem and Existence. 2. The Maximum Principle. 3. Applications of the Maximum Principle. III: The Dynamic Programming Method. 1. The Dynamic Programming Equation. 2. Variational and Viscosity Solutions to the Equation of Dynamic Programming. 3. Constructive Approaches to Synthesis Problem IV: Optimal Control of Parameter Distributed Systems. 1. General Description of Parameter Distributed Systems. 2. Optimal Convex Control Problems. 3. The HINFINITY-Control Problem. 4. Optimal Control of Nonlinear Parameter Distributed Systems. Subject Index.

Product Description

Book by Barbu Viorel

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer-Verlag GmbH
Data di pubblicazione
1994
Lingua
Inglese
ISBN 10 
0792331761
ISBN 13 
9780792331766
Rilegatura
Copertina rigida
Numero di pagine
276
Contatto del produttore
ProductSafety@springernature.com
ProductSafety@springernature.com

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Darmstadt
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Germania

Altre edizioni note dello stesso titolo

9789401043274: Mathematical Methods in Optimization of Differential Systems: 310

Edizione in evidenza

ISBN 10:  9401043272 ISBN 13:  9789401043274
Casa editrice: Springer, 2012
Brossura