In this paper, we study the global mean square exponential stability of memristor-based stochastic neural networks with time-varying delays by the means of Lyapunov function and ito formula. Meanwhile, one of the central ideas of this paper is that the theory of differential equations about discontinuous right-hand sides is applied. The proposed exponential stability criteria extend and improve some existing works. A numerical example is given to verify the results.
机构:
China Univ Min & Technol, Dept Math, Coll Sci, Xuzhou, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Coll Sci, Xuzhou, Jiangsu, Peoples R China
Zhong, Kai
Zhu, Song
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China Univ Min & Technol, Dept Math, Coll Sci, Xuzhou, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Coll Sci, Xuzhou, Jiangsu, Peoples R China
Zhu, Song
Yang, Qiqi
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China Univ Min & Technol, Dept Math, Coll Sci, Xuzhou, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Dept Math, Coll Sci, Xuzhou, Jiangsu, Peoples R China