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.

This book incorporates data rate issues that arise in control design for systems involving communication networks. The general setup is that, given a plant, a communication channel with limited data rate and control objectives, one must find a controller that uses the channel in the feedback loop to achieve the control objectives. The theoretical question of interest is to find the minimum data rate necessary for the channel. This book is motivated by the recent developments in communication technology and aims at engineers and scientists in this field. The use of networks has become common practice in many control applications connecting sensors/actuators to controllers. The book therefore provides the fundamentals of the networks used in control systems, based on hybrid systems theory. The book focuses on the use of networks in distributed systems and on quantization in messages sent over networks.

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