Analysis and Design of Markov Jump Discrete Systems

This book proposes analysis and design techniques for Markov jump systems (MJSs) using Lyapunov function and sliding mode control techniques. It covers a range of topics including stochastic stability, finite-time boundedness, actuator-fault problem, bumpless transfer scheme, and adaptive sliding mode fault-tolerant control for uncertain MJSs. Notably, the book presents a new model for deception attacks (DAs), establishing the correlation between attacks and time delays, which should be of particular interest due to the recent increase in such attacks. The book's content is presented in a comprehensive, progressive manner, with fundamental principles introduced first before addressing more advanced techniques. The book features illustrations and tables, providing readers with a practical and intuitive approach to applying these methods in their own research. This book will prove invaluable to researchers and graduate students in control engineering and applied mathematics with an interest in the latest developments in MJSs.

Yonggui Kao received the B.E. degree from Beijing Jiaotong University in 1996. He received M.E. and Ph.D. degrees from Ocean University of China in 2005 and 2008, respectively. He now is a Professor at Department of Mathematics, Harbin Institute of Technology(Weihai). His research interest covers stochastic systems, impulsive systems, neural networks, stability theory and sliding mode control.

Panpan Zhang received the B.Sc. degree in Mathematics and Applied Mathematics from Qufu Normal University, Qufu, China, in 2016. She received M.Sc. degree from Harbin University of Science and Technology,Harbin, China, in 2019. She is currently working toward the Ph.D. degree in Mathematics from Harbin Institute of Technology (Weihai). Her current research interests include time-delay systems, sliding mode control for networked systems, stochastic systems.