Control of Singular Systems with Random Abrupt Changes: Communications and Control Engineering

Modeling and problem statements.- Stochastic stability.- Stability.- Stabilization.- State Feedback Stabilization.- ?? Stabilization.- Output Feedback Stabilization.- Observer-Based Feedback Stabilization.- Filtering.- Filtering.- Singular Optimal Control.- Guaranteed Cost Control.- Mixed ?2/?? Control Problem.- Computation Tools.

From the reviews:
“The monograph under review develops the theory of singular systems with random abrupt changes; in particular, various types of control problems are analyzed and solved. … The volume under review is well structured, with divisions into parts, chapters and sections, thus providing an intuitively clear image of the issues covered. … this monograph should be recommended for university students and postgraduate students interested in control theory … .” (Pavel Pakshin, Mathematical Reviews, Issue 2011 i)
“The author of the reviewed book, containing ten chapters, combines the class of singular systems with the one of the systems with abrupt changes. … the book is of interest to researchers and graduate students dealing with stability and control for the special class of stochastic descriptor systems considered in this book.” (Galina Kurina, SIAM Review, Vol. 52 (1), 2010)

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Many problems like stochastic stability, stochastic stabilization using state feedback control and static output control, H_infinity control, filtering, guaranteed cost control and mixed H₂/H_infinity control and their robustness are tackled. Control of singular systems with abrupt changes examines both the theoretical and practical aspects of the control problems treated in the volume from the angle of the structural properties of linear systems.
The theory presented in the different chapters of the volume are applied to examples to show the usefulness of the theoretical results. Control of singular systems with abrupt changes is an excellent textbook for graduate students in robust control theory and as a reference for academic researchers in control or mathematics with interest in control theory. The reader should have completed first-year graduate courses in probability, linear algebra, and linear systems. It will also be of great value to engineers practising in fields where the systems can be modeled by singular systems with random abrupt changes.

First book about control of stochastic singular systems Presents the necessary mathematical and design tools for singular systems Includes supplementary material: sn.pub/extras