Sampled-data Control of Logical Networks

在逻辑网络的分析与控 制中，有效控制器的设计是 一项重要的工作。之前大多 数关于逻辑控制网络的文献 都考虑了状态反馈控制，系 统在每个离散时间都需要进 行控制。如果能将采样控制 应用到逻辑网络控制中，将 不需要进行时刻控制，进而 将控制能量的损耗降低。本 书重点研究了逻辑网络的采 样控制，主要介绍以下3个 问题：带有周期采样控制的 逻辑网络控制、带有非周期 采样控制的逻辑网络控制以 及带有事件驱动控制的逻辑 网络控制。 本书分为6章：第1章概 述了逻辑网络的相关研究背 景以及本书研究逻辑网络所 用到的方法和工具；第2章 研究了带有采样状态反馈控 制的逻辑网络的镇定和集镇 定问题；第3章研究了采样 逻辑控制网络的可控、可观 、同步等问题；第4章研究 了带有采祥控制的概率布尔 控制网络的镇定和集镇定问 题；第5章将采样周期推广 到不确定随机的情况，研究 了带有非周期采样控制的布 尔控制网络的镇定问题；第 6章研究了带有事件驱动控 制的逻辑控制网络的镇定、 干扰解耦和输出调节等问题 。

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