Stability Theory of Switched Dynamical Systems 2011th Edition

Stability Theory of Switched Dynamical Systems 2011th Edition book cover

Stability Theory of Switched Dynamical Systems 2011th Edition

Author(s): Zhendong Sun (Author), Shuzhi Sam Ge (Author)

  • Publisher: Springer
  • Publication Date: 25 Feb. 2013
  • Edition: 2011th
  • Language: English
  • Print length: 276 pages
  • ISBN-10: 1447126246
  • ISBN-13: 9781447126249

Book Description

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.

Editorial Reviews

Review

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)

From the Back Cover

Stability issues are fundamental in the study of the many complex nonlinear dynamic behaviours within switched systems. Professors Sun and Ge 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 Stability Theory for Switched Dynamical Systems propounds:

• detailed stability analysis and/or design;

• related robustness and performance issues;

• connections to other well-known control problems; and

• many motivating and illustrative examples.

Academic researchers and engineers interested in systems and control will find this book of great value in dealing with all forms of switching and it will be a useful source of complementary reading for graduate students of nonlinear systems theory.

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