| 不确定随机变时滞神经网络的全局渐进稳定性 |
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| 引用本文： | 吴海霞,冯伟,张伟. 不确定随机变时滞神经网络的全局渐进稳定性[J]. 微电子学与计算机, 2010, 27(2) |
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| 作者姓名： | 吴海霞 冯伟 张伟 |
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| 作者单位： | 1. 重庆大学计算机学院,重庆,400044;重庆教育学院计算机与现代教育技术系,重庆,400067
2. 重庆教育学院计算机与现代教育技术系,重庆,400067 |
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| 基金项目： | 重庆市科委自然科学基金，重庆市教委资助项目 |
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| 摘 要： | 采用It(o)'s微分公式和不等式分析技巧,研究了一类不确定随机变时滞神经网络的全局渐进稳定性问题.该模型同时考虑了神经网络模型的两种扰动因素,即随机扰动与不确定性扰动.不确定性参数是时变且范数有界的.通过构造适当的Lyapunov泛函,以线性矩阵不等式形式给出了平衡点在均方根意义下的全局渐进稳定性判据,能够利用LMI工具箱很容易地进行检验.此外,仿真示例证明了结论的有效性.
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| 关 键 词： | 全局渐进稳定性 随机神经网络 不确定性 线性矩阵不等式 |
Global Asymptotical Stability of Uncertain Stochastic Neural Networks with Time-varying Delays |
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| WU Hai-xia,FENG Wei,ZHANG Wei. Global Asymptotical Stability of Uncertain Stochastic Neural Networks with Time-varying Delays[J]. Microelectronics & Computer, 2010, 27(2) |
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| Authors: | WU Hai-xia FENG Wei ZHANG Wei |
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| Affiliation: | WU Hai-xia1,2,FENG Wei2,ZHANG Wei2(1 College of Computer Science,Chongqing University,Chongqing 400044,China,2 Department of Computer , Modern Education Technology,Chongqing Education College,Chongqing 400067,China) |
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| Abstract: | By Ito^'s differential formula and combining the method of inequality analysis,the problem of stochastic asymptotical stability of a class of stochastic neural networks with time-varying delays and parameter uncertainties is investigated.There are two kinds of disturbances which are unavoidable to be considered in neural networks.The parameter uncertainties are time-varying and norm-bounded.The time-delay factors are unknown and time-varying with known bounds.Based on Lyapunov-Krasovskii functional and stoc... |
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| Keywords: | global asymptotical stability stochastic neural networks uncertainties LMIs |
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