Dynamical Behaviors of Multiweighted Complex Network Systems

Jin-Liang Wang, PhD, is a Professor with the School of Computer Science and Technology, Tiangong University, Tianjin, China. Shun-Yan Ren, PhD, is a Postdoctoral Research Fellow with the School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China. Huai-Ning Wu, PhD, is a Professor with Beihang University and a Distinguished Professor of Yangtze River Scholar with the Ministry of Education of China. Tingwen Huang, PhD, is a Professor at Texas A&M University at Qatar.

• About the Authors xiPreface xiiiAcknowledgments xvii1 Synchronization for Complex Networks with Multiple Weights Under Recoverable Attacks 11.1 Introduction 11.2 Preliminaries 21.2.1 Notations 21.2.2 Lemmas 31.2.3 Network Models 31.3 Synchronization of CNMSCs Under Recoverable Attacks 61.3.1 Synchronization of CNMSCs with Directed Topology 61.3.2 Synchronization of CNMSCs with Undirected Topology 111.4 Synchronization of CNMDSCs Under Recoverable Attacks 121.4.1 Synchronization of CNMDSCs with Directed Topology 121.4.2 Synchronization of CNMDSCs with Undirected Topology 161.5 Numerical Examples 181.6 Conclusion 23References 242 Passivity and Synchronization for Coupled Neural Networks with Multiweights Under PD and PI Control 292.1 Introduction 292.2 Preliminaries 312.2.1 Notations 312.2.2 Definitions 312.2.3 Lemma 322.2.4 CNNMWs 322.3 PD Control for Passivity and Synchronization of the CNNMWs 342.3.1 PD Control for Passivity of the CNNMWs 352.3.2 PD Control for Synchronization of the CNNMWs 382.4 PI Control for Passivity and Synchronization of the CNNMWs 392.4.1 PI Control for Passivity of the CNNMWs 402.4.2 PI Control for Synchronization of the CNNMWs 442.5 Numerical Examples 452.6 Conclusion 52References 523 Output Synchronization for Complex Networks with Multiple Output or Output Derivative Couplings 573.1 Introduction 573.2 Output Synchronization of CDNs with Multiple Output Couplings 593.2.1 Network Model 593.2.2 Output Synchronization Analysis 613.2.3 Adaptive Output Synchronization 643.3 Output Synchronization of CDNs with Multiple Output Derivative Couplings 683.3.1 Network Model 683.3.2 Output Synchronization Analysis 683.3.3 Adaptive Output Synchronization 713.4 Numerical Examples 743.5 Conclusion 77References 784 PD Control for Finite-Time Passivity and Synchronization of Multiweighted Complex Networks 834.1 Introduction 834.2 Preliminaries 854.2.1 Notations 854.2.2 Graph Theory 854.2.3 Definitions 864.2.4 Lemmas 864.2.5 MWCDNs 874.3 PD Control for the FTP and FTS of the CDNMSCs 884.3.1 FTP of the CDNMSCs 904.3.2 FTS of the CDNMSCs 934.4 PD Control for the FTP and FTS of the CDNMDCs 954.4.1 FTP of the CDNMDCs 964.4.2 FTS of the CDNMDCs 984.5 Numerical Examples 994.6 Conclusion 105References 1065 Finite-Time Synchronization and H ∞ Synchronization for Coupled Neural Networks with Multistate or Multiderivative Couplings 1115.1 Introduction 1115.2 Preliminaries 1135.2.1 Notations 1135.2.2 Lemmas 1135.3 FTS and Finite-Time H ∞ Synchronization for CNNs with Multistate Couplings 1145.3.1 FTS of CNNs with Multistate Couplings 1145.3.2 Finite-Time H ∞ Synchronization of CNNs with Multistate Couplings and External Disturbance 1185.4 FTS and Finite-Time H ∞ Synchronization for CNNs with Multiderivative Couplings 1215.4.1 FTS of CNNs with Multiderivative Couplings 1215.4.2 Finite-Time H ∞ Synchronization of CNNs with Multiderivative Couplings and External Disturbance 1245.5 Numerical Examples 1265.6 Conclusion 133References 1336 Finite-Time Synchronization and H ∞ Synchronization of Multiweighted Complex Networks with Adaptive State Couplings 1376.1 Introduction 1376.2 Preliminaries 1396.2.1 Notations 1396.2.2 Lemmas 1396.2.3 Assumption 1406.3 Finite-Time Synchronization and H ∞ Synchronization of Multiweighted Complex Dynamical Networks with Adaptive State Couplings 1406.3.1 Finite-Time Synchronization 1406.3.2 Finite-Time H ∞ Synchronization 1456.4 Finite-Time Synchronization and H ∞ Synchronization of Multiweighted Complex Dynamical Networks with Coupling Delays and Adaptive State Couplings 1486.4.1 Finite-Time Synchronization 1486.4.2 Finite-Time H ∞ Synchronization 1536.5 Numerical Examples 1576.6 Conclusion 163References 1637 Finite-Time Output Synchronization and H ∞ Output Synchronization of Coupled Neural Networks with Multiple Output Couplings 1697.1 Introduction 1697.2 Preliminaries 1717.2.1 Notations 1717.2.2 Lemmas 1717.3 Finite-Time Output Synchronization of CNNMOC 1727.3.1 Fixed Coupling Weights 1727.3.2 Adaptive Coupling Weights 1777.4 Finite-Time H ∞ Output Synchronization of CNNMOC 1817.4.1 Fixed Coupling Weights 1817.4.2 Adaptive Coupling Weights 1857.5 Numerical Examples 1897.6 Conclusion 194References 1948 Finite-Time Passivity and Synchronization of Coupled Reaction–Diffusion Neural Networks with Multiple Weights 1998.1 Introduction 1998.2 Preliminaries 2018.2.1 Notations 2018.2.2 Lemmas 2018.2.3 Definitions 2028.3 Finite-Time Passivity and Synchronization of CRDNNs with Multiple Weights 2038.3.1 Network Model 2038.3.2 Finite-Time Passivity 2048.3.3 Finite-Time Synchronization 2098.4 Finite-Time Passivity and Synchronization of CRDNNs with Multiple Coupling Delays 2118.4.1 Network Model 2118.4.2 Finite-Time Passivity 2118.4.3 Finite-Time Synchronization 2158.5 Numerical Examples 2188.6 Conclusion 224References 225Index 229