Advances in Analysis and Control of Time-Delayed Dynamical Systems

Analysis and control of time-delayed systems have been applied in a wide range of applications, ranging from mechanical, control, economic, to biological systems. Over the years, there has been a steady stream of interest in time-delayed dynamic systems, this book takes a snap shot of recent research from the world leading experts in analysis and control of dynamic systems with time delay to provide a bird's eye view of its development. The topics covered in this book include solution methods, stability analysis and control of periodic dynamic systems with time delay, bifurcations, stochastic dynamics and control, delayed Hamiltonian systems, uncertain dynamic systems with time delay, and experimental investigations of delayed structural control.

Contents:

• Complete Quadratic Lyapunov-Krasovskii Functional: Limitations, Computational Efficiency, and Convergence (Keqin Gu)
• Recent Approaches for the Numerical Solution of State-Dependent Delay Differential Equations with Discontinuities (Alfredo Bellen)
• Engineering Applications of Time-Periodic Time-Delay Systems (Gábor Stépán)
• Synchronization in Delay-Coupled Complex Networks (Eckehard Schöll)
• Stochastic Dynamics and Optimal Control of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control (Weiqiu Zhu and Zhonghua Liu)
• Delay Induced Strong and Weak Resonances in Delayed Differential Systems (Jian Xu, Wanyong Wang)
• Stability and Hopf Bifurcation of Time-Delay Systems with Complex Coefficients (Zaihua Wang and Junyu Li)
• 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 and Shahab Torkamani)
• Noise-Induced Dynamics of Time-Delayed Stochastic Systems (Yanfei Jin and Haiyan Hu)
• Some Studies on Delayed System Dynamics and Control (Guo-Pingcai, Long-Xiang Chen and Kun Liu)
• Switching Control of Uncertain Dynamic Systems with Time Delay (Jian-Qiao Sun, Xiao-Yan Zhang, Zhi-Chang Qin and Shun Zhong)

Readership: The researchers in the community of dynamics and control including mechanical, civil, structural, aerospace, naval and electrical engineers. Graduate students pursuing research in the area of dynamics and control.
Key Features:

• Professor Jian-Qiao Sun, of University of California-Merced is well-known for his work on stochastic nonlinear dynamical systems and cell mapping methods
• Professor Qian Ding of Tianjin University is well-known for his work on nonlinear dynamics, rotor dynamics and reduced order modeling of complex dynamical systems
• There are many books devoted to time delayed systems, as noted in the authors' proposal, but many don't do justice to control. In addition, the topic of time delayed, non-smooth systems is beginning to receive considerable attention in the literature, but not (well) addressed in any of the current books