| PERIODIC SOLUTIONS TO FUZZY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS |
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| 基金项目： | the National Natural Science Foundation of China underGrant No.60574043;;the National Science Foundation of Hunan Provincial Education Departmentunder Grant No.06C792 and No.07C700;;the construct program of the key discipline in HunanProvince. |
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| 摘 要： | In this paper, a class of fuzzy cellular neural networks with distributed delays is discussed. By employing fixed point theorem and inequality techniques, some sufficient conditions are obtained to ensure the existence and global exponential stability of periodic solutions to the systems. Without assuming the global Lipschitz conditions of activation functions, our results are novel and reduce the limitation of previous known results. Moreover, an example is given to illustrate the effectiveness of our resu...
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PERIODIC SOLUTIONS TO FUZZY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS |
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| Authors: | Xiang Hongjun Wang Jinhua |
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| Institution: | Dept. of Math.;Xiangnan University;Chenzhou 423000;Hunan |
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| Abstract: | In this paper, a class of fuzzy cellular neural networks with distributed delays is discussed. By employing fixed point theorem and inequality techniques, some sufficient conditions are obtained to ensure the existence and global exponential stability of periodic solutions to the systems. Without assuming the global Lipschitz conditions of activation functions, our results are novel and reduce the limitation of previous known results. Moreover, an example is given to illustrate the effectiveness of our resu... |
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| Keywords: | fuzzy cellular neural networks periodic solution exponential stability distributed delays |
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