"This book presents the results of investigation of the stability problem of Markovian jump systems. The systems under consideration include time-varying delay and time-varying transition rates. ... This book is a valuable resource for researchers and graduate students in the field of control theory and engineering." (Mikhail P. Moklyachuk, zbMath 1416.93003, 2019) "This book is an advanced research monograph on Markovian jump systems, detailing stability analysis under some imperfect cases. ... the book is well written and summarizes recent advances in stability analysis of Markovian jump systems in a brief and clear presentation. This good research monograph on stability of Markovian jump systems is recommended for its novelty and the timeliness of its technical contents." (Zhan Shu, Mathematical Reviews, July, 2018)
Introduction to Markovian Jump Systems.- Robust Stochastic Stability.- Imprecise Jumping Parameters.- Nonlinear Markovian Jump Systems.- Practical Stability.- Networked Control Systems.- Applications Based on the Markov Jump Theory.
CVs of the authors are attached in which the publications related with the envisaged book are highlighted.
This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. It also presents general definitions of the necessary concepts and an overview of the recent developments in MJSs. Further, it addresses the general robust problem of Markovian jump linear systems (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its applications as a modelling tool for networked control systems, Markovian-based control for wheeled mobile manipulators and the jump-linear-quadratic (JLQ) problem of a class of continuous-time MJLSs. It is a valuable resource for researchers and graduate students in the field of control theory and engineering.