Analysis and Control of Finite-Value Systems: 1st Edition (Hardback) book cover

Analysis and Control of Finite-Value Systems

1st Edition

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

CRC Press

276 pages | 6 Color Illus. | 14 B/W Illus.

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Hardback: 9781138556508
pub: 2018-05-15
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pub: 2018-05-11
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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.

Table of Contents


Introduction and Preliminaries

Finite-Value Networks


Semi-Tensor Product of Matrices

Boolean Networks

Introduction to Boolean Networks

Topological Structure of Boolean Networks

Lyapunov-Based Stability Analysis

Function Perturbation of Boolean Networks

Feedback Stabilization of Boolean Control Networks

Output Tracking of Boolean Control Networks

Mix-Value Logical Networks

Introduction to Mix-Value Logical Networks

Topological Structure of Mix-Value Logical Networks

Disturbance Decoupling of Mix-Value Logical Control Networks

General Expression of Pseudo Logical Function

Delayed Logical Networks

Introduction to Delayed Logical Networks

Topological Structure of Delayed Logical Networks

Trajectory Controllability of Delayed Logical Control


Control Design for Output Tracking of Delayed Boolean

Control Networks

Switched Logical Networks

Introduction to Switched Logical Networks

Stability Analysis via Switching-Point Reachability

Controllability Analysis and Control Design with State and Input Constraints

Disturbance Decoupling Controller Design

Probabilistic Logical Networks

Introduction to Probabilistic Logical Networks

Controllability of Context-Sensitive Probabilistic Logical Control Networks

Optimal Control for Probabilistic Logical Control Networks

Output Tracking Control of Probabilistic Logical Control Networks


Networked Evolutionary Games

Introduction to Networked Evolutionary Games

Algebraic Formulation of Networked Evolutionary Games

Convergence Analysis of Networked Evolutionary Games

Optimization of Networked Evolutionary Games

Nonlinear Feedback Shift Registers

Introduction to Shift Registers

Analysis of Feedback Shift Registers via Boolean Networks

Analysis of Feedback Shift Registers via Multi-Value Logical Networks

Graph Theory

Introduction to Graph Theory

Graph Maximum Stable Set and Coloring Problems

Robust Graph Coloring Problem

T-Coloring and List Coloring Problems

Finite-Field Networks

Introduction to Finite-Field Networks

Consensus of Finite-Field Networks with Switching

Topologies and Linear Protocols

Leader-Follower Consensus of Multi-Agent Systems over Finite Fields

About the Authors

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.

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