Hinfinity-Optimal Control and Related Minimax Design Problems (eBook)

A Dynamic Game Approach

Tamer Basar, Pierre Bernhard (Autoren)

eBook Download: PDF

2009 | 2. Auflage
I, 412 Seiten
Birkhauser Boston (Verlag)
978-0-8176-4757-5 (ISBN)

Infos

This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. The book can be used for a second or third year graduate level course in the subject, and researchers working in the area will find the book useful as a standard reference. Based mostly on recent work of the authors, the book is written on a good mathematical level. Many results in it are original, interesting, and inspirational. The topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with important theoretical developments in applied mathematics and control.

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"e;I believe that the authors have written a first-class book which can be used for a second or third year graduate level course in the subject... Researchers working in the area will certainly use the book as a standard reference...."e;SIAM Review (Review of the First Edition) This book is devoted to one of the fastest developing fields in modern control theory---the so-called 'H-infinity optimal control theory'... In the authors' opinion 'the theory is now at a stage where it can easily be incorporated into a second-level graduate course in a control curriculum'. It seems that this book justifies this claim. Mathematical Reviews (Review of the First Edition) This book is a second edition of this very well-known text on H-infinity theory...This topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with this important theoretical development in applied mathematics and control. Short Book Reviews (Review of the Second Edition)

Inhalt

Preface.- A General Introduction to Minimax Designs.- Basic Elements of Static and Dynamic Games.- The Discrete-Time Minimax Design Problem With Perfect State Measurements.- Continuous-Time Systems With Perfect State Measurements.- The Continuous-Time Problem With Imperfect State Measurements.- The Discrete-Time Problem With Imperfect State Measurements.- Performance Levels for Minimax Estimators.- Appendix A: Conjugate Points.- Apendix B: Danskin’s Theorem.- References.- List of Corollaries, Definitions, Lemmas, Propositions, Remarks and Theorems

Produkt-Details

• Erscheint lt. Verlag: 21.5.2009
• Reihe/Serie: Modern Birkhäuser Classics
• Zusatzinfo: I, 412 p.
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Applied mathematics • Control • Controller Design • Control Theory • Differential Equations • Differential Games • Dynamic Games • Game Theory • H-infinity theory • Mathematics • optimal control • optimal control theory • Optimization • state-space techniques • Theorem
• ISBN-10: 0-8176-4757-0 / 0817647570
• ISBN-13: 978-0-8176-4757-5 / 9780817647575