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| ON THE ASYMPTOTIC BEHAVIOR OF HOPFIELD NEURAL NETWORK WITH PERIODIC INPUTS | |
| 作者姓名： | 向兰 周进 刘曾荣 孙姝 |
| 作者单位： | Department of Physics，Hebei University of Technology，Department of Physics，Hebei University of Technology，Department of Mathematics，Shanghai University，Naval Submarine Academy Tianjin 300130，PR China，Tianjin 300130，PR China，Department of Mathematics，Shanghai University，Shanghai 200436，P R China，Shanghai 200436，P R China，Qingdao 266071，PR China |
| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＳｉｎｃｅｔｈｅｓｐｅｃｉａｌｓｕｐｅｒｉｏｒｉｔｙｏｆａｒｔｉｆｉｃｉａｌｎｅｕｒａｌｎｅｔｗｏｒｋｓｔｅｃｈｎｏｌｏｇｙｉｎｖａｒｉｏｕｓｅｎｇｉｎｅｅｒｉｎｇｔｅｃｈｎｉｑｕｅｓｆｉｅｌｄｓ,ｓｕｃｈａｓｏｐｔｉｍｉｚａｔｉｏｎ ,ａｓｓｏｃｉａｔｉｖｅｍｅｍｏｒｉｅｓ,ｐａｔｔｅｒｎｒｅｃｏｇｎｉｔｉｏｎ ,ｓｉｇｎａｌｐｒｏｃｅｓｓｉｎｇａｎｄａｕｔｏｍａｔｉｃｃｏｎｔｒｏｌ,ｔｈｅｒｅｈａｓｂｅｅｎｉｎｃｒｅａｓｉｎｇｉｎｔｅｒｅｓｔｉｎｔｈｅｉｎｖｅｓｔｉｇａｔｉ… |
| 关 键 词： | Hopfield neural network periodic solution global exponential stability coincidence degree Liapunov’s function |
| 收稿时间： | 24 July 2001 |
On the asymptotic behavior of hopfield neural network with periodic inputs |
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| Xiang Lan Associate Professor,Zhou Jin,Liu Zeng-rong,Sun Shu.ON THE ASYMPTOTIC BEHAVIOR OF HOPFIELD NEURAL NETWORK WITH PERIODIC INPUTS[J].Applied Mathematics and Mechanics(English Edition),2002,23(12):1367-1373. | |
| Authors: | Xiang Lan Associate Professor Zhou Jin Liu Zeng-rong Sun Shu |
| Institution: | 1. Departnent of Physics, Hebei University of Technology, Tianjin 300130, P R China 2. Departnent of Physics, Hebei University of Technology, Tianjin 300130, P R China;Department of Mathematics, Shanghai University, Shanghai 200436, P R China 3. Department of Mathematics, Shanghai University, Shanghai 200436, P R China 4. Naval Submarine Academy, Qingdao 266071, P R China |
| Abstract: | Without assuming the boundedness and differentiability of the nonlinear activation functions,the new sufficient conditions of the existence and the global exponential stability of periodic solutions for Hopfield neural network with periodic inputs are given by using Mawhin's coincidence degree theory and Liapunov's function method. |
| Keywords: | Hopfield neural network periodic solution global exponential stability coincidence degree Liapunov's function |
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