| PERIODIC SOLUTIONS AND STABILITY ANALYSIS FOR NEURAL NETWORKS WITH TIME-VARYING DELAY |
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| 作者姓名： | 房辉 |
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| 作者单位： | Dept. of Math.，Kunming University of Science and Technology，Kunming 650051 |
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| 基金项目： | the Natural Science Foundation of Yunnan Province, China. |
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| 摘 要： | 1 IntroductionIt is well known that both in biological and man-made neural systems, inte-gl.ation afld communication delays are ubiquitous, and often become sources ofinstabilitY' The de1ays in electronic neural networks are usually time varying,and sometimes vary vio1ently with time due to the finite switching speed ofamplifiers and faults in the electrical circuit. They s1ow down the transmissionrate and tend to introduce some degree of instability in circuits. Therefore,fast response must …
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PERIODIC SOLUTIONS AND STABILITY ANALYSIS FOR NEURAL NETWORKS WITH TIME-VARYING DELAY |
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| Fang Hui.PERIODIC SOLUTIONS AND STABILITY ANALYSIS FOR NEURAL NETWORKS WITH TIME-VARYING DELAY[J].微分方程年刊(英文版),2001(4). |
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| Authors: | Fang Hui |
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| Abstract: | In this paper, we establish some new sufficient conditions for the existence of peri- odic solutions and the global exponential stability of neural networks with time-varying delays by means of the method of variation of parameters and some analysis techniques. These conditions can be used to design globally exponentially stable and periodic oscil- latory neural networks with time-varying delays. This work has important significance in both theory and applications. In addition, two examples are given to illustrate the theory. |
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| Keywords: | neural networks periodic solutions stability |
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