This paper addresses sufficient conditions for asymptotic stability of classes of nonlinear switched systems with external disturbances and arbitrarily fast switching signals. It is shown that asymptotic stability of such systems can be guaranteed if each subsystem satisfies certain variants of observability or 0-distinguishability properties. In view of this result, further extensions of LaSalle stability theorem to nonlinear switched systems with arbitrary switching can be obtained based on these properties. Moreover, the main theorems of this paper provide useful tools for achieving asymptotic stability of dynamic systems undergoing Zeno switching.
Observability and Distinguishability Properties and Stability of Arbitrarily Fast Switched Systems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 17, 2009; final manuscript received April 21, 2013; published online June 27, 2013. Assoc. Editor: Swaroop Darbha.
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Jasim, N. F. (June 27, 2013). "Observability and Distinguishability Properties and Stability of Arbitrarily Fast Switched Systems." ASME. J. Dyn. Sys., Meas., Control. September 2013; 135(5): 051011. https://doi.org/10.1115/1.4024363
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