| 区间时滞神经网络的随机稳定性 |
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| 引用本文： | 吴海霞,冯伟,张伟.区间时滞神经网络的随机稳定性[J].计算机工程与应用,2010,46(19):48-50. |
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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： | 重庆市自然科学基金，重庆市教委科学技术项目 |
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| 摘 要： | 分析了区间变时滞的随机神经网络的全局渐进稳定性。区间变时滞不仅考虑了时变因素，而且考虑了时滞时变的上界和下界。通过Itô’s 微分公式和构造适当的李雅普罗夫泛函，并且引入自由权值矩阵，以线性矩阵不等式形式给出了该系统在均方意义下的全局渐进稳定的充分性判据。数值算例进一步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 区间变时滞 线性矩阵不等式 |
| 收稿时间： | 2009-1-5 |
| 修稿时间： | 2009-2-16
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Stochastic stability of neural networks with interval time-varying delays |
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| WU Hai-xia,FENG Wei,ZHANG Wei.Stochastic stability of neural networks with interval time-varying delays[J].Computer Engineering and Applications,2010,46(19):48-50. |
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| Authors: | WU Hai-xia FENG Wei ZHANG Wei |
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| Affiliation: | 1.College of Computer Science,Chongqing University,Chongqing 400044,China 2.Department of Computer and Modern Education Technology,Chongqing Education College,Chongqing 400067,China |
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| Abstract: | By It＇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.The time-delay factors are unknown and time-varying with known bounds.Based on Lyapunov-Krasovskii functional and stochastic analysis approaches,some new stability criteria are presented in terms of linear matrix inequalities（LMIs）to guarantee the delayed neural network to be asymptotically stochastically asymptotically stable in the mean square for all admissible uncertainties.Numerical examples are given to demonstrate the usefulness of the proposed asymptotical stability criteria. |
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| Keywords: | global asymptotical stability stochastic neural networks interval time-varying delays linear matrix inequalitie（sLMIs） |
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