Finite-time robust stochastic stability of uncertain stochastic delayed reaction-diffusion genetic regulatory networks |
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Authors: | Jianping ZhouAuthor VitaeShengyuan XuAuthor Vitae Hao ShenAuthor Vitae |
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Affiliation: | School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China |
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Abstract: | This paper is concerned with the problem of finite-time stability analysis for uncertain stochastic delayed reaction-diffusion genetic regulatory networks. The parameter uncertainties are assumed to be norm-bounded, and the time delays are assumed to be time-varying. Based on the Lyapunov functional method, sufficient conditions ensuring the networks to be finite-time robustly stochastically stable are established. When there are no norm-bounded parameter uncertainties in the networks, a finite-time stochastic stability condition is also established. All the conditions are diffusion-dependent as well as delay-dependent. Numerical examples are given to illustrate the effectiveness of the proposed results. |
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Keywords: | Genetic regulatory networks Finite-time stochastic stability Reaction-diffusion Time delays Stochastic noise |
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