Analysis and Control of Finite-Value Systems

Haitao Li received his Ph.D. degree from Shandong University, China in 2014. From January 2014 to January 2015, he worked as a Research Fellow at School of EEE Nanyang Technological University, Singapore. Currently, he has been an associate professor at School of Mathematics and Statistics, Shandon Normal University. He received the "Natural Science Fund for Distinguished Young Scholars of Shandong Province" in 2016. He has served as a Guest Editor for IET Control Theory & Applications since 2016.Zhaoguo Dong, Ph.D. candidate at School of Control Science and Engineering, Shandong University. He received his master's degree from Qufu Normal University in 2013.Peilian Guo received her Ph.D. degree from Shandon University, Chimna in 2016. She has been a lecturer at School of Information Science and Engineering, Shandong Normal University. Zhenbin Liu received his Ph.D degree from Shandon University. He received the "National Natural Science Fund of China" in 2016. Currently, he has been as associate professor at Science and Information College, Qindao Agricultural University.

• SECTION I THEORY. Introduction and Preliminaries. Boolean Networks. Mix-Value Logical Networks. Delayed Logical Networks. Switched Logical Networks. Probabilistic Logical Networks. SECTION II APPLICATIONS. Networked Evolutionary Games. Nonlinear Feedback Shift Registers. Graph Theory. Finite-Field Networks.

This book can be viewed as an important and timely update of finite value system analysis and control using semi-tensor products (STPs) after the influential work by D. Cheng, H. S. Qi and Z. Li [Analysis and control of Boolean networks, Comm. Control Engrg. Ser., Springer, London, 2011; MR2761796]. It focuses on the work published after 2011 by the authors (from Yuzhen Wang’s group) with numerical examples taken from various fields such as biology, physics, and mathematics.The book is self-contained and well organized. New topics in this book which expand the list of problems that can be cast into the framework of STPs include delayed and switched logical networks, nonlinear feedback shift registers, graph problems, and finite field networks. One limitation of the book is that no computational complexity analysis is given and all examples are in relatively small scale. - Qianchuan Zhao - Mathematical Reviews Clippings - June 2019