Stability Analysis of Discrete-Time Stochastic Delay Systems with Impulses

Ting Cai and Pei Cheng
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Ting Cai: School of Mathematical Sciences, Anhui University, Hefei 230601, China
Pei Cheng: School of Mathematical Sciences, Anhui University, Hefei 230601, China

Mathematics, 2021, vol. 9, issue 4, 1-15

Abstract: This paper is concerned with stability analysis of discrete-time stochastic delay systems with impulses. By using the sums average value of the time-varying coefficients and the average impulsive interval, two sufficient criteria for exponential stability of discrete-time impulsive stochastic delay systems are derived, which are more convenient to be applied than those Razumikhin-type conditions in previous literature. Both p th moment asymptotic stability and p th moment exponential stability are considered. Finally, two numerical examples to illustrate the effectiveness.

Keywords: discrete-time stochastic systems; average impulsive interval; asymptotic stability; exponential stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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