Exponential Stability of Reaction-Diffusion Cohen-Grossberg Neural Networks with S-Type Distributed Delays
Exponential Stability of Reaction-Diffusion Cohen-Grossberg Neural Networks with S-Type Distributed Delays
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DOI：
10.1007/978-3-642-01216-7_7
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Y. Kao;Shuping Bao
中科院分区：
文献类型：
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作者：
Y. Kao;Shuping Bao
本文致力于利用同伦映射理论和Lyapunov泛函方法研究变系数分布时滞反应扩散Cohen-Grossberg神经网络平衡点的存在性及其全局指数稳定性。所获得的充分条件易于验证，适应范围较广。最后通过数值算例验证了理论分析。
This paper is devoted to investigation of the existence of the equilibrium point and its globally exponential stability for reaction-diffusion Cohen-Grossberg neural networks with variable coefficients and distributed delays by means of the homotopic mapping theory and Lyapunov-functional method. The sufficient conditions obtained which are easily verifiable, have a wider adaptive range. Finally, a numerical example verifies the theoretical analysis.