期刊
IET CONTROL THEORY AND APPLICATIONS
卷 14, 期 16, 页码 2439-2448出版社
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2019.1174
关键词
stochastic systems; asymptotic stability; time-varying systems; delays; stability; Lyapunov methods; linear matrix inequalities; stability criteria; stochastic processes; improved stochastic integral inequalities; stochastic genetic regulatory networks; mixed time-varying delays; mean-square asymptotic stability analysis; auxiliary function integral inequalities; mean-square asymptotic stability criteria; Lyapunov-Krasovskii functional; multiple integral terms; linear matrix inequalities
资金
- National Natural Science Foundation of China [11501182, 61873087]
- Natural Science Foundation of Heilongjiang Province [LH2019F030]
- Heilongjiang University Innovation Fund for Graduates [YJSCX2019-207HLJU]
This study investigates the problem of mean-square asymptotic stability analysis of stochastic genetic regulatory networks with mixed time-varying delays. The innovation of this study lies in that several stochastic integral inequalities are improved based on auxiliary function integral inequalities. Thereby, less conservative mean-square asymptotic stability criteria are derived by constructing Lyapunov-Krasovskii functional with multiple integral terms and employing the proposed stochastic integral inequalities and the (reciprocal) convex combination technique. The obtained stability criteria are described in terms of linear matrix inequalities, which can be easily verified by using standard software tools. Finally, three numerical examples are provided to test and verify the effectiveness and less conservativeness of the proposed stability criteria.
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