| 变时滞广义神经网络的指数稳定性 |
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| 引用本文： | 周伦.变时滞广义神经网络的指数稳定性[J].系统工程与电子技术,2004,26(8):1094-1096. |
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| 作者姓名： | 周伦 |
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| 作者单位： | 许昌学院,河南,许昌,461000 |
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| 基金项目： | 河南省高校青年骨干教师基金资助课题([2002]261) |
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| 摘 要： | 讨论具有可变时滞的Cohen Grossberg广义神经网络平衡态的稳定性问题。以推广的Halanay微分不等式为工具,通过构造合适的Lyapunov函数,结合Dini导数和不等式技巧,对具有可变时滞(适合于任何时滞有界情况)的广义神经网络平衡态的指数稳定性进行分析。在适当的假设条件下,得到了系统渐近指数稳定的几个充分性判据,与此同时也给出了相应的Lyapunov指数。
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| 关 键 词： | Halanay微分不等式 Lyapunov函数 神经网络 变时滞 指数稳定性 |
| 文章编号： | 1001-506X(2004)08-1094-03 |
| 修稿时间： | 2003年4月26日 |
Exponential stability for generalized neural networks with time-varying delay |
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| ZHOU Lun.Exponential stability for generalized neural networks with time-varying delay[J].System Engineering and Electronics,2004,26(8):1094-1096. |
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| Authors: | ZHOU Lun |
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| Abstract: | The stability of equilibrium states for Cohen-Grossberg generalized neural networks with time-varying delays is discussed. By employing the extended Halanay's delay differential inequality, constructing suitable Lyapunov functions and the inequality technique discussed the exponential stability of equilibrium states of generalized neural networks with time-varying delays. Some sufficient criteria for the asymptotic exponential asymptotic stability of the system are obtained. |
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| Keywords: | Halanay's differential inequality Lyapunov function neural networks time-varying delay exponential stability |
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