| 基于LMI的比例时滞细胞神经网络的全局渐近稳定性 |
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| 引用本文： | 刘纪茹,周立群.基于LMI的比例时滞细胞神经网络的全局渐近稳定性[J].天津师范大学学报(自然科学版),2014,34(4):10-13. |
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| 作者姓名： | 刘纪茹 周立群 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 基金项目： | 国家自然科学基金资助项目，天津市高等学校科技发展基金资助项目 |
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| 摘 要： | 通过构造合适的Lyapunov泛函及应用线性矩阵不等式,研究一类比例时滞细胞神经网络的全局渐近稳定性,得到系统全局渐近稳定的时滞相关与时滞独立的充分条件.利用数值算例和仿真结果验证了所得结论的正确性.
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| 关 键 词： | 比例时滞 全局渐近稳定性 线性矩阵不等式 Lyapunov泛函 |
LMI-based approach to global asymptotic stability for cellular neural networks with proportional delays |
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| LIU Jiru,ZHOU Liqun.LMI-based approach to global asymptotic stability for cellular neural networks with proportional delays[J].Journal of Tianjin Normal University(Natural Science Edition),2014,34(4):10-13. |
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| Authors: | LIU Jiru ZHOU Liqun |
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| Institution: | LIU Jiru;ZHOU Liqun;College of Mathematical Science,Tianjin Normal University; |
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| Abstract: | By constructing appropriate Lyapunov functional and applying linear matrix inequality, the global asymptotic sta- bility for a class of cellular neural networks with proportional delays is studied. The delay-dependent and delay-independent sufficient conditions of global asymptotic stability are obtained. A numerical example and its simulation result are given to verify the correctness of the conclusion. |
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| Keywords: | proportional delays global asymptotic stability linear matrix inequality Lyapunov functional |
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