Preface
Contents
Symbols
1 Introduction
1.1 History of Neural Networks
1.2 History of Complex-Valued Neural Networks
1.3 Recent Progress of Complex-Valued Neural Networks
1.3.1 Survey of Dynamics of CVNNs
1.3.2 Survey of Dynamics of CVBAMNNs
1.3.3 Survey of Dynamics of CVINNs
1.4 This Book
References
2 Stability Criterion for CVNNs with Constant Delay
2.1 Introduction
2.2 Problem Formulation
2.3 Main Result
2.4 Illustrative Examples
2.5 Conclusion
References
3 Further Stability Analysis for CVNNs with Constant Delay
3.1 Introduction
3.2 Preliminaries
3.3 Further Stability Analysis Based on Separable Method
3.4 Stability Analysis Based on Nonseparable Method
3.5 Illustrative Examples
3.6 Conclusion and Notes
References
4 Hopf Bifurcation Analysis for CVNNs with Discrete and Distributed Delays
4.1 Introduction
4.2 Problem Formulation
4.3 Hopf Bifurcation Result
4.4 Direction of the Hopf Bifurcation
4.5 Illustrative Example
4.6 Conclusion
References
5 Finite-Time Stability Analysis for CVBAMNNs with Constant Delay
5.1 Introduction
5.2 Problem Formulation and Preliminaries
5.3 Sufficient Criterion for the Existence and Uniqueness
5.4 Finite-Time Stability Criterion
5.5 Illustrative Examples
5.6 Conclusion
References
6 Lagrange Exponential Stability for CVBAMNNs with Time-Varying Delays
6.1 Introduction
6.2 Problem Formulation and Preliminaries
6.3 Stability Criteria Based on Algebraic Structure
6.3.1 Stability Criterion Dependent on Separable Method
6.3.2 Stability Criterion Dependent on Nonseparable Method
6.4 Stability Criterion in Terms of LMI
6.5 Illustrative Examples
6.6 Conclusion
References
7 Anti-synchronization Control for CVBAMNNs with Time-Varying Delays
7.1 Introduction
7.2 Problem Formulation and Preliminaries
7.3 Anti-Synchronization Control Criterion
7.4 Illustrative Example
7.5 Conclusion
References
8 Anti-synchronization Control for CVNNs with Mixed Delays
8.1 Introduction
8.2 Problem Formulation and Preliminaries
8.3 Anti-synchronization Criterion Based on Separable Method
8.4 Anti-synchronization Criterion Based on Nonseparable Method
8.5 Illustrative Examples
8.6 Conclusion
References
9 (Anti)-Synchronization for CVINNs with Time-Varying Delays
9.1 Introduction
9.2 Problem Formulation and Preliminaries
9.3 Synchronization Control Criterion
9.4 Anti-Synchronization Control Criterion
9.5 Illustrative Examples
9.6 Conclusion
References
10 Fixed-Time Synchronization for CVBAMNNs with Time Delays
10.1 Introduction
10.2 Problem Formulation and Preliminaries
10.3 Fixed-Time Synchronization Criterion
10.4 Illustrative Examples
10.5 Conclusion
References
11 Fixed-Time Pinning Synchronization for CVINNs with Time-Varying Delays
11.1 Introduction
11.2 Problem Formulation and Preliminaries
11.3 Main Results
11.3.1 Fixed-Time Synchronization Criterion
11.3.2 Fixed-Time Adaptive Synchronization Criterion
11.4 Illustrative Example
11.5 Conclusion
References
Index