| 脉冲Hopfield神经网络的鲁棒H-稳定性及其脉冲控制器设计 |
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| 引用本文： | 刘 斌,刘新芝,廖晓昕.脉冲Hopfield神经网络的鲁棒H-稳定性及其脉冲控制器设计[J].控制理论与应用,2003,20(2):168-172. |
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| 作者姓名： | 刘 斌 刘新芝 廖晓昕 |
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| 作者单位： | 1. 华中科技大学,控制科学与工程系,系统工程研究所,湖北,武汉,430074
2. 华中科技大学,控制科学与工程系,系统工程研究所,湖北,武汉,430074;加拿大滑铁卢大学 应用数学系,滑铁卢 安大略,N2L 3G1 |
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| 基金项目： | supportedbytheNationalNaturalScienceFoundationofChina ( 60 2 740 0 7)，theDoctoralFoundationofEducationMinistry( 2 0 0 10 4870 0 5 ) |
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| 摘 要： | 研究了脉冲Hopfield神经网络在Hopfield意义下的鲁棒稳定性. 通过应用Lyapunov函数法和Riccati不等式方法, 得到了脉冲Hopfield神经网络鲁棒稳定和鲁棒渐近稳定的充分条件, 在此基础上, 设计出了易于实施的脉冲控制器来镇定Hopfield神经网络. 最后, 给出了例子.
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| 关 键 词： | Hopfield神经网络 脉冲 鲁棒H-稳定性 Riccati不等式 |
| 收稿时间： | 2001/9/30 0:00:00 |
| 修稿时间： | 2002/3/28 0:00:00 |
Robust H-stability of Hopfield neural networks with impulsive effects and design of impulsive controllers |
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| LIU Bin,LIU Xin-zhi,LIAO Xiao-xin.Robust H-stability of Hopfield neural networks with impulsive effects and design of impulsive controllers[J].Control Theory & Applications,2003,20(2):168-172. |
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| Authors: | LIU Bin LIU Xin-zhi LIAO Xiao-xin |
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| Affiliation: | Department of Control Science & Engineering, Huazhong University of Science & Technology, Hubei Wuhan 430074, China; Department of Applied Mathematics, University of Waterloo, Ontario N 2L 3G1, Canada |
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| Abstract: | This paper studies the robust H stability (e.g. in the sense of Hopfield) for Hopfield neural networks (HNN for short) with impulsive effects. By employing the method of Lyapunov functions and Riccati inequality, some sufficient conditions for robust H stability and robustly asymptotical H stability are established. On the basis of these results, the author also designs some impulsive controllers to stabilize HNN. Finally, one illustrative example is given. |
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| Keywords: | Hopfield neural networks impulse robust H stability Riccati inequality |
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