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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.
Part I Introduction
1 Introduction
Part II Periodic Sampled-Data Control
2 Stabilization of Sampled-Data Boolean Control Networks
3 Controllability, Observability and Synchronization of Sampled-Data Boolean Control Networks
4 Stabilization of Probabilistic Boolean Control Networks Under Sampled-Data Control
Part III Aperiodic Sampled-Data Control
5 Stabilization of Aperiodic Sampled-Data Boolean Control Networks
Part IV Event-Triggered Control
6 Event-Triggered Control for Logical Control Networks