Almost sure stabilization of hybrid systems by intermittent stochastic noise with jumps

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Mao, Wei and Mao, Xuerong and Wu, Fuke (2025) Almost sure stabilization of hybrid systems by intermittent stochastic noise with jumps. Automatica, 178. 112373. ISSN 0005-1098 (https://doi.org/10.1016/j.automatica.2025.112373)

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Abstract

This paper is concerned with the almost sure stabilization of hybrid systems by introducing intermittent stochastic noise with jumps. By means of the Lyapunov function method and the ergodic property of Markov chain, sufficient conditions are given for stability of hybrid stochastic systems with intermittent stochastic noise. With the aid of the comparison method and M-matrix theory, it is shown that hybrid systems can be stabilized by discrete-time intermittent stochastic feedback control provided the duration between two consecutive observations is sufficient small. Finally, two examples are presented to illustrate our results.

ORCID iDs

Mao, Wei, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Wu, Fuke;
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