Dynamical Behaviors of Fractional-Order Complex Dynamical Networks

• Record Nr.: UNINA9910865260803321
• Autore: Wang Jin-Liang
• Pubbl/distr/stampa: Singapore : , : Springer Singapore Pte. Limited, , 2024; ©2024
• ISBN: 9789819729500; 9789819729494
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (204 pages)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Passivity and Finite-Time Passivity for Multi-Weighted Fractional-Order Complex Networks with Fixed and Adaptive Couplings -- 1.1 Introduction -- 1.2 Preliminaries and Network Model -- 1.2.1 Definitions -- 1.2.2 Lemmas -- 1.2.3 Network Model -- 1.3 Passivity of MWFOCDNs with Fixed and Adaptive Couplings -- 1.3.1 Passivity of MWFOCDNs with Fixed Couplings -- 1.3.2 Passivity of MWFOCDNs with Adaptive Couplings -- 1.4 FTP of MWFOCDNs with Fixed and Adaptive Couplings -- 1.4.1 FTP of MWFOCDNs with Fixed Couplings -- 1.4.2 FTP of MWFOCDNs with Adaptive Couplings -- 1.5 Numerical Examples -- 1.6 Conclusion -- References -- 2 Passivity of Coupled Fractional-Order Neural Networks with Multiple State and Derivative Couplings -- 2.1 Introduction -- 2.2 Preliminaries -- 2.2.1 Notations -- 2.2.2 Definitions -- 2.2.3 Lemmas -- 2.3 Passivity and Synchronization of CFONNMSCs -- 2.3.1 Model -- 2.3.2 Passivity Analysis of CFONNMSCs -- 2.3.3 Synchronization Analysis of CFONNMSCs -- 2.4 Passivity and Synchronization of CFONNMDCs -- 2.4.1 Model -- 2.4.2 Passivity Analysis of CFONNMDCs -- 2.4.3 Synchronization Analysis of CFONNMDCs -- 2.5 Numerical Examples -- 2.6 Conclusion -- References -- 3 Finite-Time Passivity for Coupled Fractional-Order Neural Networks with Multistate or Multiderivative Couplings -- 3.1 Introduction -- 3.2 Preliminaries -- 3.2.1 Notations -- 3.2.2 Definitions -- 3.2.3 Lemmas -- 3.3 FTP for ; CFONNMSCs -- 3.3.1 CFONNMSCs -- 3.3.2 State-Feedback Control for the FTP of CFONNMSCs -- 3.3.3 Adaptive State-Feedback Control for the FTP of CFONNMSCs -- 3.4 FTP for CFONNMDCs -- 3.4.1 CFONNMDCs -- 3.4.2 State-Feedback Control for the FTP of CFONNMDCs -- 3.4.3 Adaptive State-Feedback Control for the FTP of CFONNMDCs -- 3.5 Numerical Examples -- 3.6 Conclusion -- References.; 4 Output Synchronization Analysis and PD Control for Coupled Fractional-Order Neural Networks with Multiple Weights -- 4.1 Introduction -- 4.2 Preliminaries -- 4.2.1 Notations -- 4.2.2 Definitions -- 4.2.3 Lemmas -- 4.3 Output Synchronization for MWCFONNs -- 4.3.1 Network Model -- 4.3.2 Output Synchronization Analysis -- 4.3.3 PD-Based Output Synchronization -- 4.4 Output Synchronization for MWCFONNs with Uncertain Parameters -- 4.4.1 Network Model -- 4.4.2 Output Synchronization Analysis -- 4.4.3 PD-Based Output Synchronization -- 4.5 Numerical Examples -- 4.6 Conclusion -- References -- 5 Finite-Time Output Synchronization for Fractional-Order Complex Networks with Output or Output Derivative Coupling -- 5.1 Introduction -- 5.2 Preliminaries -- 5.2.1 Definitions -- 5.2.2 Lemmas -- 5.3 FTOS of OCFOCNs -- 5.3.1 OCFOCN -- 5.3.2 Output-Feedback Control for the FTOS of OCFOCN -- 5.3.3 Adaptive Output-Feedback Control for the FTOS of OCFOCN -- 5.4 FTOS of ODCFOCNs -- 5.4.1 ODCFOCN -- 5.4.2 Output-Feedback Control for the FTOS of ODCFOCN -- 5.4.3 Adaptive Output-Feedback Control for the FTOS of ODCFOCN -- 5.5 Numerical Examples -- 5.6 Conclusion -- References -- 6 Passivity for Multiadaptive Coupled Fractional-Order Reaction-Diffusion Neural Networks -- 6.1 Introduction -- 6.2 Preliminaries -- 6.2.1 Notations -- 6.2.2 Definitions -- 6.2.3 Lemmas -- 6.2.4 MCFORNNs -- 6.3 Passivity for Multiadaptive Coupled CFORNNs … -- 6.3.1 Passivity Criterion -- 6.3.2 Synchronization Criteria -- 6.4 Passivity for Multiadaptive Coupled CFORNNs with Fractional-Order … -- 6.4.1 Passivity Criterion -- 6.4.2 Synchronization Criteria -- 6.5 Numerical Examples -- 6.6 Conclusion -- References -- 7 Synchronization and Adaptive Control for Coupled Fractional-Order Reaction-Diffusion Neural Networks with Multiple Couplings -- 7.1 Introduction -- 7.2 Preliminaries.; 7.2.1 Notations -- 7.2.2 Definitions -- 7.2.3 Lemmas -- 7.3 Synchronization and Adaptive Synchronization for MSCFORDNNs -- 7.3.1 Model -- 7.3.2 Synchronization for MSCFORDNNs -- 7.3.3 Adaptive Synchronization for MSCFORDNNs -- 7.4 Synchronization and Adaptive Synchronization for MSDCFORDNNs -- 7.4.1 Model -- 7.4.2 Synchronization for MSDCFORDNNs -- 7.4.3 Adaptive Synchronization for MSDCFORDNNs -- 7.5 Numerical Examples -- 7.6 Conclusion -- References.