Passivity-based control for Hopfield neural networks using convex representation

被引：56

作者：

Ji, D. H. ^{[2
]}

Koo, J. H. ^{[3
]}

Won, S. C. ^{[3
]}

Lee, S. M. ^{[4
]}

Park, Ju H. ^{[1
]}

机构：

[1] Yeungnam Univ, Nonlinear Dynam Grp, Dept Elect Engn, Kyongsan 712749, South Korea

[2] Samsung Elect Co Ltd, Div Mobile Commun, Digital Media & Commun, Suwon, Gyeonggi Do, South Korea

[3] Pohang Univ Sci & Technol, Dept Elect & Elect Engn, Pohang 790784, South Korea

[4] Daegu Univ, Sch Elect Engn, Kyongsan, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 13期

关键词：

Hopfield neural network; H-infinity passivity; Convex problem; LMI; TIME-VARYING DELAYS; DEPENDENT ASYMPTOTIC STABILITY; CRITERIA; SYSTEM;

D O I：

10.1016/j.amc.2010.12.100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the problem of passivity-based controller design for Hopfield neural networks. By making use of a convex representation of nonlinearities, a feedback control scheme based on passivity and Lyapunov theory is presented. A criterion for existence of the controller is given in terms of linear matrix inequality (LMI), which can be easily solved by a convex optimization problem. An example and its numerical simulation are given to show the effectiveness of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：6168 / 6175

页数：8

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