Stability Theory of Switched Dynamical Systems [Hardcover]

There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input.

For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.

Introduction.- Arbitrary Switching.- Constrained Switching.- Designed Switching.- Implications and Applications.- Conclusion.- Appendix.

From the book reviews:

This book presents in a systematic manner different stability and stabilization results for continuous- and discrete-time switched systems under various switching mechanisms. & The book provides a state-of-the-art of the stability issues for switched dynamical systems. It can be of interest to researchers and automatic control engineers. Also, it can be used as a complementary reading for postgraduate students of the nonlinear systems theory. (Mikhail I. Krastanov, zbMATH, Vol. 1298, 2014)

Zhendong Sun obtained his Ph.D. degree at the Beijing University of Aeronautics and Astronautics in 1996. He was a Postdoctoral Research Fellow in the Department of Automation, Tsinghua University. From 1998 to 2002, he was with the Facultyl3$