| W^1,2（Ω）- and X^1,2（Ω）-stability of reaction- diffusion cellular neural networks with delay |
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| 作者姓名： | LUO YiPing ;XIA WenHua ;LIU GuoRong ;DENG FeiQi |
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| 作者单位： | [1]Hunan Institute of Engineering, Xiangtan 411101, China; [2]Institute of System Engineering, South China University of Technology, Guangzhou 510640, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （Grant No. 60374023）, the Natural Science Foundation of Hunan Province （Grant No. 07JJ6112）, and Scientific Research Fund of Hunan Provincial Education Department （Grant Nos. 04A012 and 07A015）, and the Construct Program of the Key Discipline in Hunan Province （Control Theory and Control Engineering） |
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| 摘 要： | With Poincare＇s inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems＇ W^1,2（Ω）-exponential and X^1,2（Ω）-asmptotic stability are obtained. The stability conditions containing diffusion term are different from those obtained in the previous papers in their exponential stability conditions. One example is given to illustrate the feasibility of this method in the end.
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| 关 键 词： | 单位神经网络 辅助函数 可行性分析 计算机技术 |
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