Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique

Yuyuan Li, Jianqiu Lu, Chunhai Kou, Xuerong Mao and Jiafeng Pan

Statistics & Probability Letters, 2018, vol. 139, issue C, 152-161

Abstract: This paper deals with the robust stabilization of continuous-time hybrid stochastic systems with time-varying delay by feedback controls based on discrete-time state observations. By employing the Razumikhin technique, delay-independent criteria to determine controllers and time lags are established just under a weaker condition that the time-varying delay should be a bounded function. Meanwhile, for the nondelay system, we obtain a better bound on the duration τ between two consecutive state observations. The new theory developed in this paper improves the existing results. Numerical examples are provided to demonstrate the effectiveness of our results.

Keywords: Hybrid stochastic systems; Time-varying delay; Robust stabilization; Discrete-time feedback control; Razumikhin technique (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2018.02.058

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