SAMPLED-DATA CONTROL OF LOGICAL NETWORKS(逻辑网络的采样控制,英文版)

Part Ⅰ Introduction 1 Introduction 1.1 Background 1.2 Research Problems 1.2.1 Periodic Sampled-Data Control 1.2.2 Aperiodic Sampled-Data Control 1.2.3 Event-Triggered Control 1.3 Mathematical Preliminaries 1.3.1 Matrix Products 1.3.2 Swap Matrix 1.3.3 Semi-Tensor Product of Matrices 1.3.4 Boolean Matrix 1.3.5 Structure Matrix of a Logical Operator References Part Ⅱ Periodic Sampled-Data Control 2 Stabilization of Sampled-Data Boolean Control Networks 2.1 Sampled-Data State Feedback Stabilization of Boolean Control Networks 2.1.1 Problem Formulation 2.1.2 Sampled-Data State Feedback Control for BooleanControl Networks 2.1.3 Piecewise Constant Control of Boolean Control Networks 2.2 Sampled-Data State Feedback Control for the Set Stabilization of Boolean Control Networks 2.2.1 Problem Formulation 2.2.2 Topological Structure of Boolean Control Networks Under Sampled-Data State Feedback Control 2.2.3 Set Stabilization for Boolean Control Networks Under Sampled-Data State Feedback Control 2.2.4 Example and Simulations 2.3 Summary References 3 Controllability, Observability and Synchronization of Sampled-Data Boolean Control Networks 3.1 Controllability and Observability of Boolean Control Networks via Sampled-Data Control 3.1.1 Problem Formulation 3.1.2 Controllability of Sampled-Data Boolean Control Networks 3.1.3 Observability of Sampled-Data Boolean Control Networks 3.1.4 More Effective Algorithm for Observability 3.2 Sampled-Data Control for the Synchronization of Boolean oubonh Control Networks 3.2.1 Problem Formulation 3.2.2 Main Results 3.2.3 Example and Its Simulations 3.3 Summary References 4 Stabilization of Probabilistic Boolean Control Networks Under Sampled-Data Control 4.1 Sampled-Data Stabilization of Probabilistic Boolean Control Networks 4.1.1 An Algebraic Form of a Probabilistic Boolean Control Network 4.1.2 Sampled-Data State Feedback Control for Probabilistic Boolean Control Networks 4.1.3 Examples 4.2 Sampled-Data Partial Stabilization of Probabilistic Boolean ms Control Networks 4.2.1 Problem Formulation 4.2.2 Main Results 4.2.3 Example and Simulations 4.3 Set Stabilization of Probabilistic Boolean Control Networks 4.3.1 Problem Formulation