基本介紹
- 書名：時滯動力系統的分析與控制
- 作者：孫建橋 丁千
- 出版日期：2013年7月1日
- 語種：簡體中文, 英語
- 品牌：高教社
- 外文名：Advances in Analysis and Control of Time-delayed Dynamical Systems
- 出版社：高等教育出版社
- 頁數：342頁
- 開本：16
基本介紹,內容簡介,作者簡介,圖書目錄,
基本介紹
內容簡介
《時滯動力系統的分析與控制(精)》(作者孫建橋、丁千)對這一活躍的研究領域進行了簡介，編入了國際上時滯動力系統分析與控制方面的知名專家的研究成果和綜述文章，內容包括以下若干專題：時滯動力系統的周期解求解方法、穩定性分析等，本書適合從事相關研究工作的人員參考閱讀。
作者簡介
孫建橋，加利福尼亞大學默塞德分校工程學院教授。在非線性隨機動力學系統與胞映射研究領域成果卓著。
丁千，天津大學力學系教授，主任。在非線性動力學、轉子動力學和複雜動力系統降維建模等領域成果豐富。
丁千，天津大學力學系教授，主任。在非線性動力學、轉子動力學和複雜動力系統降維建模等領域成果豐富。
圖書目錄
Chapter 1 Complete Quadratic Lyapunov－Krasovskii Functional: Limitations, Computational Efficiency, 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
Gabor Stepan
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 Scholl
1. Introduction
2. Stability of Synchronization for Large Delay
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
References
Chapter 7 Stability and Hopf Bifurcation of Time－delayed Systems with Complex Coefficients
Zaihua Wang, Jungu 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 Controlin 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 Identification
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 H∞ 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
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
Gabor Stepan
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 Scholl
1. Introduction
2. Stability of Synchronization for Large Delay
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
References
Chapter 7 Stability and Hopf Bifurcation of Time－delayed Systems with Complex Coefficients
Zaihua Wang, Jungu 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 Controlin 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 Identification
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 H∞ 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
