Set-Theoretic Methods in Control

Francio Blanchini is a Professor in the Department of Mathematics and Computer Science at the University of Udine, Italy.Stefano Miani is an Associate Professor in the Department of Electrical, Management, and Mechanical Engineering at the University of Udine, Italy.

• Preface.- Introduction.- Lyapunov and Lyapunov-like Function.- Convex Sets and Their Representation.- Invariant Sets.- Dynamic Programming.- Set-Theoretic Analysis of Dynamic Systems.- Control of Parameter-Varying Systems.- Control with Time-Domain Constraints.- Switching and Switched Systems.- (Sub-)Optimal Control.- Set-Theoretic Estimation.- Related Topics.- Appendix.- References.- Index.

"The main purpose of the book is to provide a complete presentation of the set-theoretic approach for the control and analysis of dynamic systems ... . The book contains many examples which illustrate various facets of the theory and many valuable comments on and links to the existing literature, which make the book a valuable guide to the state of art of the domain under study." (Valeriu Prepelita, Mathematical Reviews, April, 2016) "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." - B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." - Octavian Pastravanu, Zentralblatt MATH