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

Autorentext

Tamer Bäar has received B.S.E.E. from Robert College, Istanbul, and M.S., M.Phil, and Ph.D. degrees in engineering and applied science from Yale University. After stints at Harvard University, Marmara Research Institute (Gebze, Turkey), and Bo aziçi University (Istanbul), he joined the University of Illinois Urbana-Champaign in 1981, where he is currently Swanlund Endowed Chair Emeritus; CAS Professor Emeritus of ECE; and Research Professor, CSL and ITI. He is a member of the US National Academy of Engineering, a Fellow of the American Academy of Arts and Sciences, and Foreign Member of Academia Europaea. He is also Fellow of IEEE, IFAC, SIAM, AAAI, and AIIA. He has received several awards and recognitions over the years, and has current research interests in stochastic teams, games, and networks (with finite- and infinite-population models); multi-agent systems and learning; data-driven distributed optimization; epidemics modeling and control over networks; design of incentive mechanisms; strategic information transmission, spread of disinformation, and deception; security and trust; energy systems; and cyber-physical systems. Boualem Djehiche received his Ph.D. in Mathematics from KTH Royal Institute of Technology, Stockholm, in 1993. Since 2001, he has been Professor of Mathematical Statistics at KTH, where his research spans stochastic analysis, large deviations, stochastic partial differential equations, stochastic control, optimization, and mean-field-type game theory. He has made significant contributions to applications of stochastic systems, control, and game theory in diverse domains, including insurance mathematics, mathematical finance, and mathematical epidemiology, as well as emerging areas such as multi-level multi-compartment building evacuations, pedestrian flow management, blockchain token economics, and generative artificial intelligence. His work bridges rigorous mathematical theory with pressing real-world challenges, advancing the design of reliable, efficient, and adaptive strategies for decision-making under uncertainty. Hamidou Tembine is co-founder of Timadie and Professor of Machine Intelligence at the School of Engineering, University of Québec (Canada). He received a master's degree in Applied Mathematics from École Polytechnique, Palaiseau (France), a master's degree in game theory and economics, and a Ph.D. in computer science from INRIA and the University of Avignon. He is founding director of the Learning and Game Theory Laboratory and one of the principal investigators of the Center on Stability, Instability, and Turbulence. He has also co-founded Grabal, WETE, and AI Mali, and founded Guinaga, SK1 Sogoloton, and WETE. He is the author of more than 300 publications and several books, including Distributed Strategic Learning for Engineers (CRC Press), Game Theory and Learning in Wireless Networks (Elsevier), Mean-Field-Type Games for Engineers, Machine Intelligence in Africa in 20 Questions, and GPT Meets Game Theory. He is a senior member of IEEE, recipient of the IEEE ComSoc Outstanding Young Researcher Award, and winner of more than ten best paper awards, all in game theory. He has been recognized as a Next Einstein Fellow (2017) and Simons Senior Fellow (2020). His current research interests span learning, evolution, and games, with applications in agriculture, food, water, energy, communications, transportation, healthcare, textless audio-to-audio machine intelligence and people-centered cyber-physical systems security.

Inhalt
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.