Analysis and Design for Positive Stochastic Jump Systems by Wenhai Qi (English)

Publisher Description

The book focuses on analysis and design for positive stochastic jump systems. By using multiple linear co-positive Lyapunov function method and linear programming technique, a basic theoretical framework is formed toward the issues of analysis and design for positive stochastic jump systems. This is achieved by providing an in-depth study on several major topics such as stability, time delay, finite-time control, observer design, filter design, and fault detection for positive stochastic jump systems. The comprehensive and systematic treatment of positive systems is one of the major features of the book, which is particularly suited for readers who are interested to learn non-negative theory. By reading this book, the reader can obtain the most advanced analysis and design techniques for positive stochastic jump systems.

Back Cover

The book focuses on analysis and design for positive stochastic jump systems. By using multiple linear co-positive Lyapunov function method and linear programming technique, a basic theoretical framework is formed toward the issues of analysis and design for positive stochastic jump systems. This is achieved by providing an in-depth study on several major topics such as stability, time delay, finite-time control, observer design, filter design, and fault detection for positive stochastic jump systems. The comprehensive and systematic treatment of positive systems is one of the major features of the book, which is particularly suited for readers who are interested to learn non-negative theory. By reading this book, the reader can obtain the most advanced analysis and design techniques for positive stochastic jump systems.

Author Biography

Wenhai Qi received the B.S. degree in automation from Qufu Normal University in 2008 and M.S. degree in control science and engineering from Qufu Normal University in 2013. In 2016, he received Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China. Now, he works in School of Engineering, Qufu Normal University, Rizhao, 276826, China. He was a visiting scholar with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, South Korea, in 2017 and 2019. Dr. Qi is an Associate Editor of the International Journal of Control, Automation, and Systems. His research work focuses on Markovian switching systems, switched systems, positive systems, networked control systems, etc. Guangdeng Zong received the M.S. degree in mathematics from Qufu Normal University, Qufu, China, in 2002, and the Ph.D. degree in control theory and control engineering from the Control Science and EngineeringDepartment, School of Automation, Southeast University, Nanjing, China, in 2005. He is a Full Professor with Qufu Normal University, Rizhao, China. In 2010, he was a Visiting Professor with the Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA. In 2012, he was a Visiting Fellow with the School of Computing, Engineering and Mathematics, University of Western Sydney, Penrith, NSW, Australia. In 2016, he was a Visiting Professor with the Institute of Information Science, Academia Sinica, Taipei, Taiwan. From 2018 to 2019, he visited the Department of Mechanical Engineering, University of Hong Kong, Hong Kong. From 2019 to 2020, he visited the Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada. Prof. Zong is currently an Editorial Board Member for some international journals, such as the International Journal of Systems Sciences, IEEE ACCESS, and the International Journal of Control, Automation, and Systems.

Table of Contents

Exponential stability and L1-gain analysis.- Stability and stabilization.- L1-gain and control synthesis.- Finite-time L1 control.- L1 control.- L∞ control.- Robust finite-time stabilization.- Fault detection.- Stochastic stability and L1-gain analysis.- Positive L1 observer design.- Filter design.- Conclusions and future research direction.

Review

"The book presents research advancements and comprehensive references related to the analysis and design of positive stochastic jump systems. It is a valuable resource for researchers in related fields and is suitable for graduate students specializing in control theory and engineering. Additionally, it may serve as a reference for engineers working on the control design of switched systems."(Ky Quan Tran, Mathematical Reviews, December, 2023)

Feature

Addresses positive stochastic jump systems both in theory and practice Considers basic controller and observer design methods Provides fault detection filter techniques

Details