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.

Machine generated contents note: ch. 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 -- ch. 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 -- ch. 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 -- ch. 4 Synchronization in Delay-coupled Complex Networks / Eckehard Scholl.

Contents note continued: 1. Introduction -- 2. Stability of Synchronization for Large Delay -- 3. Cluster Synchronization -- 4. Adaptive Synchronization -- 5. Transitions between Synchronization a…