| 具变时延细胞神经网络模型的全局指数稳定性 |
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| 引用本文： | 李拥军,吴洪武.具变时延细胞神经网络模型的全局指数稳定性[J].系统工程,2006,24(8):119-122. |
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| 作者姓名： | 李拥军 吴洪武 |
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| 作者单位： | 1. 华南理工大学,计算机科学与工程学院,广东,广州,510460
2. 华南理工大学,数学科学学院,广东,广州,510460 |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
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| 摘 要： | 通过构造新的Lyapunov泛函．巧妙引入可调实参数，并结合Hardy不等式以及推广的Halanay时延微分不等式，讨论了一类具有可变时延细胞神经网（DCNNs）的全局指数稳定性问题，所得结果改进、推广了文7]、文8]中相应的结论，并可应用于以前所不能处理的若干情形。特别地，还通过实例说明了相应准则的应用，扩大了神经网络设计的范围，这在理论上和应用中都有着重要意义。
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| 关 键 词： | 变时延细胞神经网络 全局指数稳定性 Lyapunov泛函 |
| 文章编号： | 1001-4098（2006）08-0119-04 |
| 收稿时间： | 2006-07-01 |
| 修稿时间： | 2006-07-01 |
Global Exponential Stability of Cellualar Neural Networks with Variable Delayed Cellular |
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| LI Yong-jun,WU Hong-wu.Global Exponential Stability of Cellualar Neural Networks with Variable Delayed Cellular[J].Systems Engineering,2006,24(8):119-122. |
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| Authors: | LI Yong-jun WU Hong-wu |
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| Institution: | 1. School of Computer Science and Engineering, South China University of Technology,Guangzhou 510640,China; 2. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640,China |
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| Abstract: | By constructing the new Lyapunov functional, ingeniously importing real parame ters and parameter function which can be adjusted, and making use of the hardy inequalities and the Halanay delayed differential inequalities, the global exponential stability of delayed cellular neural networks with variable coefficient is discussed and new sufficient conditions are obtained. The results of this paper improve,extend ,unify and complement a number of existing results, They also handle a number of cases not covered by known criteria. Interesting examples are included to show the versatility of our results. And they greatly enlarge the area of designing neural networks. This has important significance in.both theory and application. |
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| Keywords: | Delayed Cellular Neural Networks(DCNN_s) Global Exponential Stability Lyapunov Functional The Hardy Inequalities |
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