Affiliation:
1. MOE‐LCSM, School of Mathematics and Statistics Hunan Normal University Changsha Hunan China
2. The Key Laboratory of Control and Optimization of Complex Systems College of Hunan Province, Hunan Normal University Changsha China
Abstract
AbstractThe aim of the article is to discuss stochastic fixed‐time (FIXT) stability of impulsive stochastic nonlinear time‐varying systems. By using the multiple Lyapunov method and stochastic analysis theory, several novel stability theorems for determining stochastic FIXT stability are established. Concurrently, the estimation of stochastic settling time is given. Compared with other conclusions about stochastic FIXT stability, the results can be more widely applied to impulsive stochastic nonlinear time‐varying systems, the constraint of the impulse strength factor and the differential operator are also relaxed. Furthermore, some corollaries are obtained to establish stochastic FIXT stability of impulsive stochastic nonlinear time‐varying systems.
Funder
National Natural Science Foundation of China
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering
Cited by
3 articles.
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