Sampled-data Control of Logical Networks

This book mainly focuses on the sampled-data control of logical networks. We believe that the methods (semi-tensor product of matrices), results (recent results on Boolean control networks under periodic sampled-data control, Boolean control networks under aperiodic sampled-data control, and logical control networks under event-triggered control) and topics (logical networks) in this book have become of particular interest to readers recently. Firstly, logical networks are of interest due to their rich range of applications in biology, game theory, coding, finite automata, graph theory, and other fields. Secondly, semi-tensor product of matrices offers a useful tool for formulating, analyzing and designing controllers for logical networks. Moreover, this book is the first to introduce sampled-data control into the study of logical control networks. All research results in this book are novel and worthy of further study.

The book’s content is divided into three parts (Boolean control networks under periodic sampled-data control, Boolean control networks under aperiodic sampled-data control, and logical control networks under event-triggered control), which essentially progress from easier to more difficult. In addition, corresponding examples and diagrams are included in each section to facilitate understanding.

Chapter 1 Introduction.- Chapter 2 Stabilization of sampled-data Boolean control networks.- Chapter 3 Controllability, observability and synchronization of sampled-data Boolean control networks.- Chapter 4 Stabilization of probabilistic Boolean control networks under sampled-data control.- Chapter 5 Stabilization of aperiodic sampled-data Boolean control networks.- Chapter 6 Event-triggered control for logical control networks.

Jianquan Lu (Senior Member, IEEE) is currently a Professor at the Department of Systems Science, School of Mathematics, Southeast University, Nanjing, China. He received his B.S. degree in mathematics from Zhejiang Normal University, Zhejiang, China, in 2003, his M.S. degree in mathematics from Southeast University, Nanjing, China, in 2006, and his Ph.D. degree in applied mathematics from City University of Hong Kong in 2009. From 2010 to 2012, he was an Alexander von Humboldt Research Fellow at the PIK, Germany. His current research interests include collective behavior in complex dynamical networks and multi-agent systems, logical networks, and hybrid systems. He has published over 90 papers in refereed international journals. Dr. Lu was named a Highly Cited Researcher by Clarivate Analytics from 2018 for three consecutive years, and he was elected one of the Most Cited Chinese Researchers by Elsevier in 2014-2019. He was part of the Program for New Century Excellent Talents in University by The Ministry of Education, China in 2010, and won the Second Award of Jiangsu Provincial Progress in Science and Technology in 2016 as the First Project Member, and the First Award of Jiangsu Provincial Progress in Science and Technology in 2010 asthe Second Project Member. Dr. Lu is an associate editor of Neural Processing Letters (Springer), Journal of Franklin Institute (Elsevier), and Neural Computing and Applications (Springer), and a guest editor of Science China: Information Sciences, Mathematics and Computers in Simulation (Elsevier) and IET Control Theory & Applications.

Liangjie Sun is currently pursuing her Ph.D. degree at the Department of Mathematics, The University of Hong Kong. She received her B.S. degree in mathematics from Zhejiang Normal University, Zhejiang, China, in 2016, and her M.S. degree in mathematics from Southeast University, Nanjing, China, in 2019. Her undergraduate thesis: “On the Control Theory of Logical Systems: An Approach of Semi-Tensor Product of Matrices” won the New World Mathematics Awards, Bachelor Thesis Awards - Silver Prize in 2016. Her master’s thesis: “Sampled-data control of Boolean networks and some related qualitative problems” won the outstanding master’s degree award of Jiangsu Province in 2020. Her current research interests include logical dynamics systems and computational biology.