Ahmed, Saeed

Hiremath, Sandesh

English

Switched systems in which switching among subsystems occurs at random time instants find numerous applications in engineering. Stability analysis of such systems, however, is quite challenging. This paper investigates the stochastic input-to-state stability of this class of switched systems. The random switching instants are modeled by a non-decreasing, positive, and real-valued Levy process, which, at every time instant, selects the active subsystem from a family of deterministic systems. No assumption on the stability of subsystems is presumed; they can be stable or unstable. Stochastic properties of the switching signal are coupled with a family of Lyapunov-like functions to obtain a sufficient condition for stochastic input-to-state stability

Athni Hiremath, Sandesh

Dissertations of the University of Groningen

On Stochastic ISS of Time-Varying Switched Systems with Generic Levy Switching Signals

https://pure.rug.nl/ws/files/207393193/87179031_7453873_IEEE_LCSS_2022.pdf

On Stochastic ISS of Time-Varying Switched Systems with Generic Lévy Switching Signals

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Dissertations of the University of Groningen