H -Optimal Control and Related Minimax Design Problems

This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. Based mostly on recent work by the authors, the book is written on a good mathematical level. Many results in it are original.

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)

An affordable new softcover edition of a classic text Devoted to one of the fastest developing fields in modern control theoryH-infinity optimal control theory Contains original results, based on the authors' research For a broad audience of graduate students, researchers and practitioners in applied mathematics, control, and dynamic game theory May be used as a textbook in a second-level graduate course in a control curriculum

Auteur
Tamer Basar has held positions in many scientific organizations and has received several distinguished awards. He is currently the Fredric G. and Elizabeth H. Nearing Professor of Electrical and Computer Engineering at the University of Illinois, Urbana-Champaign and a research professor at the Coordinated Science Laboratory. Dr. Basar is an IEEE Fellow and a member of the National Academy of Engineering.

Contenu
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.