The stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms

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• 作者：Jie Tan ; Chuandong Li ; Tingwen Huang
• 关键词：Stochastic Cohen–Grossberg neural network ; Global asymptotic stability ; Mixed delays ; Reaction–diffusion ; Poincaré inequality
• 刊名：Cognitive Neurodynamics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：9
• 期：2
• 页码：213-220
• 全文大小：480 KB
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• 刊物主题：Biomedicine general; Neurosciences; Computer Science, general; Artificial Intelligence (incl. Robotics); Biochemistry, general; Cognitive Psychology;
• 出版者：Springer Netherlands
• ISSN：1871-4099

文摘

The global asymptotic stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms is investigated. Under some suitable assumptions and using Lyapunov–Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.