Dynamical Behaviors of Fractional-order Complex Dynamical Networks

✍ Scribed by Jin-Liang Wang

• Publisher: Springer
• Year: 2024
• Tongue: English
• Leaves: 204
• Category: Library

✦ Synopsis

This book benefits researchers, engineers, and graduate students in the field of fractional-order complex dynamical networks. Recently, the dynamical behaviors (e.g., passivity, finite-time passivity, synchronization, and finite-time synchronization, etc.) for fractional-order complex networks (FOCNs) have attracted considerable research attention in a wide range of fields, and a variety of valuable results have been reported. In particular, passivity has been extensively used to address the synchronization of FOCNs.

✦ Table of Contents

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