Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses

Chunxiang Li, Lijuan Shen, Fangshu Hui, Wen Luo and Zhongliang Wang ()
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Chunxiang Li: Department of Mathematics and Physics, Naval Medical University, Shanghai 200433, China
Lijuan Shen: School of Mathematical Sciences, Tongji University, Shanghai 200092, China
Fangshu Hui: Department of Mathematics and Physics, Naval Medical University, Shanghai 200433, China
Wen Luo: Department of Mathematics and Physics, Naval Medical University, Shanghai 200433, China
Zhongliang Wang: Department of Mathematics and Physics, Naval Medical University, Shanghai 200433, China

Mathematics, 2023, vol. 11, issue 7, 1-17

Abstract: This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are transformed into an equivalent algebraic expression by using the semi-tensor product method. Thirdly, the mean square exponential stability criteria of nonlinear stochastic delay differential systems with logic impulses are given. Finally, two kinds of stochastic delay differential systems with logic impulses and uncertain parameters are discussed, and the coefficient conditions guaranteeing the mean square exponential stability of these systems are obtained.

Keywords: mean square exponential stability; logic impulses; semi-tensor product; nonlinear; stochastic delay differential systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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