Stability Theory of Switched Dynamical Systems [electronic resource] / by Zhendong Sun, Shuzhi Sam Ge.Material type: TextLanguage: English Series: Communications and Control Engineering: Publisher: London : Springer London, 2011Description: XX, 256 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780857292568Subject(s): Engineering | Matrix theory | Systems theory | Distribution (Probability theory) | Vibration | Engineering | Control | Systems Theory, Control | Vibration, Dynamical Systems, Control | Probability Theory and Stochastic Processes | Linear and Multilinear Algebras, Matrix TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 629.8 LOC classification: TJ212-225Online resources: Click here to access online
Introduction -- Arbitrary Switching -- Constrained Switching -- Designed Switching -- Implications and Applications -- Conclusion -- Appendix.
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.