Analysis and Control of Finite-Value Systems

by Haitao Li, Guodong Zhao, Peilian Guo, Zhenbin Liu

Overview

A comprehensive work in finite-value systems that covers the latest achievements using the semi-tensor product method, on various kinds of finite-value systems. These results occupy the highest position in the analysis and control of this field. It not only covers all aspects of research in finite-value systems, but also presents the mathematical derivation for each conclusion in depth. The book contains examples to provide a better understanding of the practical applications of finite-value systems.

It will serve as a textbook for graduate students of Cybernetics, Mathematical, and Biology, and a reference for readers interested in the theory of finite-value systems.

Product Details

ISBN-13:	9781138556508
Publisher:	Taylor & Francis
Publication date:	05/15/2018
Pages:	292
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

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.

Table of Contents

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.

Editorial Reviews

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

From the Publisher