| Novel criteria for global exponential stability and periodic solutions of delayed Hopfield neural networks |
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| 作者姓名： | 高潮 |
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| 作者单位： | Department of |
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| 基金项目： | the Science Foundation of Guangdong Province in China |
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| 摘 要： | ~~1()((,)(,))((,)(,))entssssssttttte==--Vxxxxfcycy Similar to the discussion of Theorem 1, it is easy to obtain 1(,)(,)entiiittKe-=-?xxcycy for any t0, where K1 is a constant. One can easily follow from formula above that ()()()etttKet---?xxcycy There exists a positive integer m such that ()e1mKqewt--?. A Poincare mapping F: CC by Fc=xw(c) is defined. Then, from Eq.(14), it can be derived that mmq-?FFcycy This implies that Fm is a contraction mapping; hence there exists a unique fixed p…
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Novel criteria for global exponential stability and periodic solutions of delayed Hopfield neural networks |
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| GAO Chao,.Novel criteria for global exponential stability and periodic solutions of delayed Hopfield neural networks[J].Journal of Chongqing University,2003,2(1). |
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| Authors: | GAO Chao |
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| Institution: | Department of Automatic Engineering, Foshan Science &. Technology University, Foshan 518000, P.R. China;Department of Electronic Engineering, Dongguan Institute of Technology, Dongguan 523106, P.R. China |
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| Abstract: | The global exponentially stability and the existence of periodic solutions of a class of Hopfield neural networks with time delays are investigated. By constructing a novel Lyapunov function, new criteria are provided to guarantee the global exponentially stability of such systems. For the delayed Hopfield neural networks with time-varying external inputs, new criteria are also acquired for the existence and exponentially stability of periodic solutions. The results are generalizations and improvements of some recent achievements reported in the literature on networks with time delays. |
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| Keywords: | Hopfield neural network time delay global exponentially stability periodic solution |
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