Stability of Impulsive Stochastic Delay Systems with Markovian Switched Delay Effects

Wei Hu
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Wei Hu: School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China

Mathematics, 2022, vol. 10, issue 7, 1-12

Abstract: In this paper, we investigate the p th moment exponential stability of impulsive stochastic delay systems with Markovian switched delay effects. The model we consider here is rather different from the models in the existing literature. In particular, the delay is a Markov chain, which is quite different from the traditional deterministic delay. By using the Markov chain theory, stochastic analysis theory, Razumikhin technology and the Lyaponov method, we derive a criterion of p th moment exponential stability for the suggested system. Finally, an example is provided to illustrate the effectiveness of the obtained result.

Keywords: Markovian switched delay; impulsive stochastic delay system; moment exponential stability; Lyapunov approach; Razumikhin technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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