Study on robust H-stability for Hopfield neural networks with impulsive effects

被引：0

作者：

Liu, B ^{[1
]}

Liu, XZ

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[3] Zhuzhou Inst Technol, Dept Informat & Computat Sci, Zhuzhou 412008, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2003年

关键词：

Hopfield neural networks; impulsive effects; robust stability; Riccati inequality; H-stability; I-stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the robust stability in the sense of Hopfield for Hopfield neural networks (HNN for short)with impulsive effects. By approaching the Lyapunov functions and Riccati inequality, some sufficient conditions for robust stability and robust asymptotical stability in the sense of Hopfield are established. Finally, numerical simulation results are given to demonstrate our results.

引用

页码：384 / 389

页数：6

共 7 条

[1] On impulsive autoassociative neural networks [J].

Guan, ZH ;

Lam, J ;

Chen, GR .

NEURAL NETWORKS, 2000, 13 (01) :63-69

[2] NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].

HOPFIELD, JJ .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092

[3] NEURAL NETWORKS AND PHYSICAL SYSTEMS WITH EMERGENT COLLECTIVE COMPUTATIONAL ABILITIES [J].

HOPFIELD, JJ .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (08) :2554-2558

[4]

Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6

[5]

LIAO XX, 2001, THEORY APPL STABILIT

[6] STABILITY RESULTS FOR IMPULSIVE DIFFERENTIAL-SYSTEMS WITH APPLICATIONS TO POPULATION-GROWTH MODELS [J].

LIU, XZ .

DYNAMICS AND STABILITY OF SYSTEMS, 1994, 9 (02) :163-174

[7]

Wu FangXiang, 2001, Control Theory & Applications, V18, P113

← 1 →