Impulsive Synchronization of Complex Dynamical Networks: Modeling, Control and Simulations

Description

This book is mainly focused on the global impulsive synchronization of complex dynamical networks with different types of couplings, such as general state coupling, nonlinear state coupling, time-varying delay coupling, derivative state coupling, proportional delay coupling and distributed delay coupling. Studies on impulsive synchronization of complex dynamical networks have attracted engineers and scientists from various disciplines, such as electrical engineering, mechanical engineering, mathematics, network science, system engineering. Pursuing a holistic approach, the book establishes a fundamental framework for this topic, while emphasizing the importance of network synchronization and the significant influence of impulsive control in the design and optimization of complex networks. The primary audience for the book would be the scholars and graduate students whose research topics including the network science, control theory, applied mathematics, system science and so on. Preface Acknowledgements Contents Symbols Acronyms 1 Introduction 1.1 Background 1.2 Book Organization 1.3 Preliminaries References 2 Cluster Synchronization on CDNs with Proportional Delay: Impulsive Effect Method 2.1 Introduction 2.2 Model Description and Preliminaries 2.2.1 Network Structure 2.2.2 Problem Formulation 2.2.3 Preliminaries 2.3 Main Results 2.4 Numerical Simulations 2.5 Conclusion References 3 Impulsive Synchronization of Derivative CNNs with Cluster-Tree Topology 3.1 Introduction 3.2 Model Description and Preliminaries 3.2.1 Network Structure Statement 3.2.2 Problem Formulation 3.2.3 Preliminaries 3.3 Main Results 3.4 Numerical Simulation 3.5 Conclusion References 4 Adaptively Synchronize the Derivative Coupled CDNs with Proportional Delay 4.1 Introduction 4.2 Problem Formulation 4.2.1 Model Description 4.2.2 Preliminaries 4.3 Main Results 4.4 Numerical Simulation 4.5 Conclusion References 5 Distributed Impulsive Quasi-Synchronization of Lur'e DNs with Proportional Delay 5.1 Introduction 5.2 Model Description and Preliminaries 5.2.1 Model Description 5.2.2 Preliminaries 5.3 Main Results 5.4 Numerical Simulations 5.5 Conclusion References 6 Quasi-Synchronization of Parameter Mismatched CDNs with Multiple Impulsive Effects 6.1 Introduction 6.2 Model Description and Preliminaries 6.2.1 Problem Formulation 6.2.2 Preliminaries 6.3 Main Results 6.4 Numerical Simulation 6.5 Conclusion References 7 Cluster Synchronization of Nonlinearly Coupled Lur'e DNs: Impulsive Adaptive Control 7.1 Introduction 7.2 Model Description and Preliminaries 7.2.1 Model Description 7.2.2 Preliminaries 7.3 Main Results 7.3.1 Synchronization for Lur'e Networks 7.3.2 Synchronization for Delayed Lur'e Networks 7.4 Numerical Simulations 7.5 Conclusion References 8 Synchronization of Derivative Coupled CDNs with Hybrid Impulses 8.1 Introduction 8.2 Network Model and Preliminaries 8.2.1 Network Model 8.2.2 Related Definitions and Lemmas 8.3 Main Results 8.4 Numerical Simulation 8.5 Conclusion References