H¿-Optimal Control and Related Minimax Design Problems

A Dynamic Game Approach
2. ed 1995. 2. printing 2008
ISBN: 978-0-8176-4756-8
Verlag: Birkhäuser Boston

Buch, Englisch, 412 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 645 g

Reihe: Modern Birkhäuser Classics

“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.”

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)

Zielgruppe

Research

Autoren/Hrsg.

Bernhard, Pierre

Basar, Tamer

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Fertigungstechnik
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

A General Introduction to Minimax (H?-Optimal) 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.- Minimax Estimators and Performance Levels.- Robustness to Regular and Singular Perturbations.- Appendix A: Conjugate Points and Existence of Value.- Appendix B: Danskin’s Theorem.