| Analysis for Cohen-Grossberg neural networks with multiple delays |
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| 引用本文： | Ce JI,Huaguang ZHANG,Huanxin GUAN,Ping YUAN. Analysis for Cohen-Grossberg neural networks with multiple delays[J]. 控制理论与应用(英文版), 2006, 4(4): 392-396. DOI: 10.1007/s11768-006-4199-z |
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| 作者姓名： | Ce JI Huaguang ZHANG Huanxin GUAN Ping YUAN |
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| 作者单位： | School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China（No. 60534010, 60572070）, Liaoning Natural Science Foundation of China（No.20052027）, and the Program for Changjiang Scholars and Innovative Research Team in University. |
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| 摘 要： | The stability analysis of Cohen-Grossberg neural networks with multiple delays is given. An approach combining the Lyapunov functional with the linear matrix inequality （LMI） is taken to obtain the sufficient conditions for the globally asymptotic stability of equilibrium point. By using the properties of matrix norm, a practical corollary is derived. All results are established without assuming the differentiability and monotonicity of activation functions. The simulation samples have proved the effectiveness of the conclusions.
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| 关 键 词： | Cohen-Grossberg人工神经网络 多重延迟 LMI Lyapunov功能函数 渐近稳定性 |
| 收稿时间： | 2004-10-18 |
| 修稿时间： | 2006-05-26 |
Analysis for Cohen-Grossberg neural networks with multiple delays |
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| Ce JI,Huaguang ZHANG,Huanxin GUAN,Ping YUAN. Analysis for Cohen-Grossberg neural networks with multiple delays[J]. Journal of Control Theory and Applications, 2006, 4(4): 392-396. DOI: 10.1007/s11768-006-4199-z |
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| Authors: | Ce JI Huaguang ZHANG Huanxin GUAN Ping YUAN |
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| Affiliation: | School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China |
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| Abstract: | The stability analysis of Cohen-Grossberg neural networks with multiple delays is given. An approach combining the Lyapunov functional with the linear matrix inequality (LMI) is taken to obtain the sufficient conditions for the globally asymptotic stability of equilibrium point. By using the properties of matrix norm, a practical corollary is derived. All results are established without assuming the differentiability and monotonicity of activation functions. The simulation samples have proved the effectiveness of the conclusions. |
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| Keywords: | Cohen-Grossberg neural networks Multiple delays LMI Lyapunov functional Globally asymptotic stability |
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