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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, asymptotic and exponential stability of the controlled systems are studied in the  p th moment sense for  p &gt;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.

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