Exponential Stability of Stochastic Nonlinear Delay Systems Subject to Multiple Periodic Impulses

This article is devoted to stability analysis of stochastic nonlinear delay systems subject to multiple periodic impulses. By means of the stochastic analysis technique and improved Razumikhin method, we obtain several novel stability criteria under the combined action of impulsive disturbance and i...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 69; no. 4; pp. 2621 - 2628
Main Authors Xu, Haofeng, Zhu, Quanxin, Zheng, Wei Xing
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asymptotic stability
Control theory
Delay systems
Delays
Globally weakly stochastically exponential stability
Impulses
multiple periodic impulses
Nonlinear systems
Numerical stability
Stability analysis
Stability criteria
Stochastic processes
stochastic system
time delay
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Summary:This article is devoted to stability analysis of stochastic nonlinear delay systems subject to multiple periodic impulses. By means of the stochastic analysis technique and improved Razumikhin method, we obtain several novel stability criteria under the combined action of impulsive disturbance and impulsive control. It is worth noting that the definition of globally weakly stochastically exponential stability is introduced and this article is the first attempt to study such stability notion for the considered system. In particular, we further discuss the double effects brought by multiple periodic impulses. As a verification, two numerical examples are presented to show the validity of the obtained results both theoretically and practically.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3335005