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Yonggui Kao,Panpan Zhang,Changhong Wang,Hongwei Xia

Analysis and Design of Markov Jump Discrete Systems

Analysis and Design of Markov Jump Discrete Systems

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The book proposes analysis and design techniques for Markov jump systems (MJSs) using Lyapunov function and sliding mode control, covering stochastic stability, finite-time boundedness, actuator-fault problem, bumpless transfer scheme, and adaptive sliding mode fault-tolerant control for uncertain MJSs. It also presents a new model for deception attacks (DAs) and features illustrations and tables for practical application.

Format: Hardback
Length: 198 pages
Publication date: 16 November 2023
Publisher: Springer Verlag, Singapore


Markov jump systems (MJSs) are complex dynamical systems that exhibit sudden changes in their behavior due to random events or external disturbances. They have gained significant attention in recent years due to their wide range of applications in various fields, including robotics, communication networks, and transportation systems. In this book, the authors propose analysis and design techniques for MJSs using Lyapunov function and sliding mode control techniques. The book 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. One of the key contributions of the book is the development of a new model for deception attacks (DAs) in MJSs. The authors establish the correlation between attacks and time delays, which is 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.


Dimension: 235 x 155 (mm)
ISBN-13: 9789819957477
Edition number: 1st ed. 2023

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