Analysis and Design of Delayed Neural Networks

Description

Preface Acknowledgements and Declarations Contents Notations and Acronyms List of Figures List of Tables 1 Introduction 1.1 Backgrounds of NNs 1.2 A Brief on Analysis and Design of Delayed NNs 1.3 Innovation in Method 1.4 Organization and Contributions References Part I Analysis and Design of Discrete-Time Delayed NNS 2 Global Exponential Stability and Stabilization 2.1 HOCGNNs with Multiple Time-Varying Transmission Delays 2.1.1 Problem Formulation 2.1.2 Global Exponential Stability Criteria 2.1.3 Global Exponential Stabilization Criteria 2.1.4 Numerical Examples 2.2 BAMNNs with Multiple Time-Varying Transmission Delays 2.2.1 Problem Formulation 2.2.2 Global Exponential Stability Criteria 2.2.3 Theoretical Comparisons 2.2.4 Global Exponential Stabilization Criteria 2.2.5 Numerical Examples 2.3 Remarks and Notes References 3 Global Exponential Stability Affected Impulses 3.1 Problem Formulation 3.2 Global Exponential Stability Criteria 3.3 Numerical Examples 3.4 Remarks and Notes References 4 Global Exponential Synchronization 4.1 Problem Formulation 4.2 Synchronization Controller Design 4.3 Numerical Examples 4.4 Encryption/Decryption Scheme 4.5 Experimental Simulation and Safety Analysis 4.5.1 Experimental Simulation 4.5.2 Safety Analysis 4.6 Remarks and Notes References 5 State Estimation 5.1 HONNs with Multiple Time-Varying Transmission Delays 5.1.1 Problem Formulation 5.1.2 Observer Design 5.1.3 Numerical Examples 5.2 BAMNNs with Multiple Time-Varying Transmission Delays 5.2.1 Problem Formulation 5.2.2 Observer Design 5.2.3 Numerical Examples 5.3 Remarks and Notes References Part II Analysis and Design of Continuous-Time Delayed NNS 6 Global Exponential Stability and Stabilization 6.1 Neutral-Type CGNNs with Multiple Time-Varying Transmission Delays 6.1.1 Problem Formulation 6.1.2 Existence and Uniqueness of Equilibrium Point 6.1.3 Global Exponential Stability Criteria 6.1.4 Global Exponential Stabilization Criteria 6.1.5 Numerical Examples 6.2 Quaternion-Valued NNs with Three Kinds of Delays 6.2.1 Problem Formulation 6.2.2 Global Exponential Stability Criteria 6.2.3 Global Exponential Stabilization Criteria 6.2.4 Numerical Examples 6.3 MNNs with Multiple Time-Varying Unbounded Transmission Delays 6.3.1 Problem Formulation 6.3.2 Global Exponential Stability Criteria 6.3.3 Global Exponential Stabilization Criteria 6.3.4 Numerical Examples 6.4 INNs with Multiple Time-Varying Transmission Delays 6.4.1 Problem Formulation 6.4.2 Global Exponential Stability Criteria 6.4.3 Global Exponential Stabilization Criteria 6.4.4 Numerical Examples 6.5 Remarks and Notes References 7 Lagrangian Global Exponential Stability and Stabilization 7.1 Quaternion-Valued MNNs with Three Kinds of Delays 7.1.1 Problem Formulation 7.1.2 Lagrangian Global Exponential Stability Criteria 7.1.3 Lagrangian Global Exponential Stabilization Criteria 7.1.4 Numerical Examples 7.2 MNNs with Multiple Time-Varying Unbounded Transmission Delays 7.2.1 Preliminaries 7.2.2 Lagrangian Global Exponential Stability 7.2.3 Lagrangian Global Exponential Stabilization 7.2.4 Numerical Examples 7.3 Remarks and Notes References 8 Global Robust Exponential Stability 8.1 Problem Formulation 8.2 Global Robust Exponential Stability Criteria 8.3 Theoretical Comparisons 8.4 Numerical Examples 8.5 Remarks and Notes References 9 upper H Subscript normal infinityHinfty Control 9.1 Problem Formulation 9.2 A Novel BRL 9.3 upper H Subscript normal infinityHinfty Controller Design 9.4 Numerical Examples 9.5 Remarks and Notes References 10 Global Exponential Synchronization 10.1 Problem Formulation 10.2 Synchronization Controller Design 10.3 Numerical Examples 10.4 Remarks and Notes References 11 upper L Subscript pLp Stability 11.1 Problem Formulation and Preliminaries 11.2 upper L Subscript pLp Stability Criteria 11.3 Numerical Examples 11.4 Remarks and Notes References Appendix Preliminaries References