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Global Exponential Stability of Fuzzy Cellular Neural Networks with Impulses and Infinite Delays

Global Exponential Stability of Fuzzy Cellular Neural Networks with Impulses and Infinite Delays
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摘要 In this paper,the global exponential stability of fuzzy cellular neural networks with impulses and infinite delays is investigated.Based on an impulsive delayed integro-differentiai inequality and the properties of fuzzy logic operation and M-matrix,an easily verified sufficient condition is obtained.Moreover,the exponential convergent rate for the fuzzy cellular neural networks with impulses and infinite delays is also given.An example is given to illustrate the effectiveness of our theoretical result. In this paper, the global exponential stability of fuzzy cellular neural networks with impulses and infinite delays is investigated. Based on an impulsive delayed integro-differential inequality and the properties of fuzzy logic operation and M-matrix, an easily verified sufficient condition is obtained. Moreover, the exponential convergent rate for the fuzzy cellular neural networks with impulses and infinite delays is also given. An example is given to illustrate the effectiveness of our theoretical result.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第1期1-10,共10页 数学研究与评论(英文版)
基金 The authors are grateful to the referees for their helpful suggestions. the National Natural Science Foundation of China (No. 10671133) the Doctors' Foundation of Chongqing University of Posts and Telecommunication (No. A2007-41).
关键词 全局指数稳定性 脉冲 无限时滞 模糊细胞神经网络 global exponential stability fuzzy cellular neural networks impulses infinite delays integro-differential inequality.
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  • 1Ph.D.Candidate:Sun JianXi’an University of Technolgy, Xi’an 710048, ChinaSupervisor:Yu Changzhao (Tsinghua University, Beijing 100084, China)Li Yuzhu (Tsinghua University, Beijing 100084, China)Chen Changzhi (Tsinghua University, Beijing 100084, China)Members of Dissertation Defense Committee:Gao Jizhang (China Institute of Water Resources and Hydropower Research), ChairmanLi Guifen (China Institute of Water Resources and Hydropower Research)Cui Guangtao (Tianjing University)Wang Xingkui (Tsinghua University)Yu Changzhao (Tsinghua University)Li Yuzhu (Tsinghua University)Chen Changzhi (Tsinghua University).FLOOD DISCHARGE AND ENERGY DISSIPATION BY JETS FROM OUTLETS IN HIGH ARCH DAM[J].Journal of Hydrodynamics,2003,15(1):122-122. 被引量:39

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