Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay

Jianqiu Lu, Yun Lu, Simin Wang, Liangjian Hu and Yanan Jiang

International Journal of Systems Science, 2022, vol. 53, issue 7, 1483-1502

Abstract: In this paper, we investigate stabilisation of hybrid stochastic systems with time-varying delay by feedback control based on discrete-time state and mode observations with a time delay. By constructing a proper Lyapunov functional, the $ H_\infty $ H∞, asymptotic and exponential stability of the controlled systems are studied in the pth moment sense for p>1. Meanwhile, we obtain the upper bound on the duration τ between two consecutive state and mode observations. At last, two numerical examples are illustrated to support our theoretical results.

Date: 2022
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DOI: 10.1080/00207721.2021.2010832

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