| 带时变时滞细胞神经网络的全局渐近稳定性 |
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| 引用本文： | 胡春燕,杨德刚,胡志强.带时变时滞细胞神经网络的全局渐近稳定性[J].重庆交通大学学报(自然科学版),2010,29(1):151-156. |
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| 作者姓名： | 胡春燕 杨德刚 胡志强 |
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| 作者单位： | 重庆师范大学,数学与计算机科学学院,重庆,400047;重庆交通大学,重庆,400074 |
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| 基金项目： | 国家自然科学基金项目(10971240,10926170);;重庆市自然科学基金项目(CSTC,2008BB2366,CSTC,2008BB2364);;重庆市教委科技计划项目(KJ090803,KJ080805,KJ080806,KJ080817) |
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| 摘 要： | 研究了带时变时滞的细胞神经网络的全局渐近稳定性问题,给出了带时变时滞细胞神经网络平衡点全局渐近稳定的新充分判定准则。首先,提出所研究的时滞细胞神经网络模型、系统激活函数所需满足的条件及需要的引理。然后,将所研究的系统通过一个等式进行线性变换,在定义一个与系统相关的映射操作基础上,基于Lya-punov-Krasovskii稳定性定理和线性矩阵不等式技术来讨论时滞细胞神经网络的全局渐近稳定性。所得条件是时滞相关的。最后,用一个数值例子验证所得的稳定性条件是有效的。
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| 关 键 词： | 细胞神经网络 时变时滞 稳定性 线性矩阵不等式 Lyapunov-Krasovskii泛函 |
Global Asymptotic Stability of Cellular Neural Networks with Time-Varying Delays |
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| HU Chun-yan,YANG De-gang,HU Zhi-qiang.Global Asymptotic Stability of Cellular Neural Networks with Time-Varying Delays[J].Journal of Chongqing Jiaotong University,2010,29(1):151-156. |
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| Authors: | HU Chun-yan YANG De-gang HU Zhi-qiang |
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| Institution: | 1. School of Mathematics & Computer Science;Chongqing Normal University;Chongqing 400047;China;2. Chongqing Jiaotong University;Chongqing 400074;China |
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| Abstract: | The global asymptotic stability of cellular neural networks with time-varying delays is investigated. A novel sufficient judging criterion of the equilibrium point of global asymptotic stability of cellular neural networks with time-varying delays is given. First,the cellular neural network model with time-delay is proposed,the conditions for the system to activate the function and the lemma would be used are introduced. Then,the system under study carries out the"linearization" through an equation. The glo... |
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| Keywords: | cellular neural network time-varying delay stability linear matrix inequality Lyapunov-Krasovskii functional1 |
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