Optimal Control (eBook)

Richard Vinter (Autor)

eBook Download: PDF

2010 | 2010
XX, 500 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-8086-2 (ISBN)

Infos

'Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control.' -Mathematical Reviews 'Thanks to a great effort to be self-contained, [this book] renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers and professionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis).' -Automatica

Richard Vinter is Head of the Control and Power Research Group at Imperial College London.

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"e;Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control."e; -Mathematical Reviews "e;Thanks to a great effort to be self-contained, [this book] renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers and professionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis)."e; -Automatica "e;The book may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicians, and it will be valued for its accessibility and clear exposition."e; -Applications of Mathematics

Inhalt

Contents 10
Preface 14
Notation 20
Overview 22
Measurable Multifunctions and Differential Inclusions 82
Variational Principles 130
Nonsmooth Analysis 148
Subdifferential Calculus 199
The Maximum Principle 220
The Extended Euler-Lagrange and Hamilton Conditions 251
Necessary Conditions for Free End-Time Problems 303
The Maximum Principle for State Constrained Problems 338
Necessary Conditions for Differential Inclusion Problems with State Constraints 378
Regularity of Minimizers 414
Dynamic Programming 452
References 509
Index 521

Produkt-Details

• Erscheint lt. Verlag: 25.6.2010
• Reihe/Serie: Modern Birkhäuser Classics
• Reihe/Serie: Modern Birkhäuser Classics
• Zusatzinfo: XX, 500 p. 13 illus.
• Verlagsort: Boston
• Sprache: englisch
• Original-Titel: Optimal Control
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Calculus • differential inclusions • Dynamic Programming • Euler–Lagrange condition • Hamilton condition • Hamilton-Jacobi equation • Maximum principle • Minimizers • Nonlinear Control • nonsmooth analysis • Nonsmoothness • optimal control • Optimization • programming • Subdifferential Calculus
• ISBN-10: 0-8176-8086-1 / 0817680861
• ISBN-13: 978-0-8176-8086-2 / 9780817680862