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Chapter 1 Complete Quadratic Lyapunov-Krasovskii Functional:Limitations, Computational Efflciency, and Convergence Keqin Gu
1 Introduction
2 Complete Quadratic Lyapunov-Krasovskii Functional
3 Discretized Lyapunov Functional Method
4 Coupled Differential-difference Equations
5 Miscellaneous Issues
6 SOS Method
7 Conclusions and Perspectives
References
Chapter 2 Recent Approaches for the Numerical Solution of State-dependent Delay Differential Equations with Discontinuities Alfredo Bellen
1 Introduction
2 Weak Solutions
3 Regularization Techniques
4 Comparing Regularizations
References
Chapter 3 Engineering Applications of Time-periodic Time-delayed Systems G?abor St?ep?an
1 Introduction
2 Delayed Mathieu Equation
3 Semi-discretization Method for Periodic DDEs
4 Engineering Applications
5 Conclusions
References
Chapter 4 Synchronization in Delay-coupled Complex Networks Eckehard Sch?oll
1 Introduction
2 Stability of Synchronization for Large Delay
3 Cluster Synchronization
4 Adaptive Synchronization
5 Transitions between Synchronization and Desychronization
6 Conclusion and Outlook
References
Chapter 5 Stochastic Dynamics and Optimal Control of Quasi Integrable Hamiltonian Systems with Time-delayed Feedback Control Weiqiu Zhu, Zhonghua Liu
1 Introduction
2 Stochastic Averaging Method for Quasi Integrable Hamiltonian
Systems with Time-delayed Feedback Control
3 Stochastic Dynamics of Quasi Integrable Hamiltonian Systems
with Time-delayed Feedback Control
4 Stochastic Optimal Control of Quasi Integrable Hamiltonian
Systems with Time-delayed Feedback Control
5 Concluding Remark
References
Chapter 6 Delay Induced Strong and Weak Resonances in Delayed Differential Systems Jian Xu, Wanyong Wang
1 Introduction
2 Analysis for Double Hopf Bifurcation
3 Conditions for Strong Resonances and Weak Resonances
4 Weak and Strong Resonances in Delayed Feedback Systems
5 Weak and Strong Resonances in Van der Pol Systems with Delay Coupling
6 Conclusions
References
Chapter 7 Stability and Hopf Bifurcation of Time-delayed Systems with Complex CoEfflcients Zaihua Wang, Junyu Li
1 Introduction
2 The Crossing Direction for Stability Analysis
3 Numerical and Graphical Stability Test
4 Pseudo-oscillator Analysis for Hopf Bifurcation
5 Conclusions
References
Chapter 8 Estimation and Control in Time-delayed Dynamical Systems Using the Chebyshev Spectral Continuous Time Approximation and Reduced Liapunov-Floquet Transformation Eric A Butcher, Oleg Bobrenkov, Morad Nazari, Shahab Torkamani
1 Introduction
2 Chebyshev Spectral Continuous Time Approximation
3 Reduced Liapunov-Floquet Transformation
4 Feedback Control of Periodic Delayed Systems
5 Stochastic State, Parameter, and Delay Estimation
6 Application to Observer-based Delayed Feedback Control of Spacecraft Attitude
7 Conclusions
References
Chapter 9 Noise-induced Dynamics of Time-delayed Stochastic Systems Yanfei Jin, Haiyan Hu
1 Introduction
2 Fundamentals for Time-delayed Stochastic Systems
3 Dynamical Behaviors of the Stochastic Systems with Time-delayed Feedback Control
4 Noise-induced Resonances in Delayed Bistable Systems
5 Concluding Remarks
References
Chapter 10 Some Studies on Delayed System Dynamics and Control Guo-Ping Cai, Long-Xiang Chen, Kun Liu
1 Introduction
2 Time Delay Identiˉcation
3 Two Time-delayed Controllers for Linear Structural Systems
4 Time-delayed Controller for Nonlinear Structural Systems
5 Parameter Robustness of Time-delayed Controller
6 Robust H1 Time-delayed Controller Based on The LMI Technique
7 Delayed Positive Feedback Control Technique
8 Time Delay Experiments
9 Concluding Remarks
References
Chapter 11 Switching Control of Uncertain Dynamical Systems with Time Delay Jian-Qiao Sun, Xiao-Yan Zhang, Zhi-Chang Qin, Shun Zhong
1 Introduction
2 Supervisory Control for Systems with Uncertain Time Delay
3 Sliding Mode Control Design for Uncertain Systems
4 Concluding Remarks
References
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