A model of feedback control system on network and its stability analysis

被引：23

作者：

Su, Huan ^{[1
]}

Qu, Yanbin ^{[2
]}

Gao, Shang ^{[1
]}

Song, Huihui ^{[2
]}

Wang, Ke ^{[1
]}

机构：

[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

[2] Harbin Inst Technol Weihai, Sch Informat Sci & Engn, Weihai 264209, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 07期

关键词：

Feedback control systems; Networks; Robust stability; Exponential stability; GROSSBERG NEURAL-NETWORKS; GLOBAL STABILITY;

D O I：

10.1016/j.cnsns.2012.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model of feedback control system on network is constructed. Some criterions ensuring the robust stability and global exponential stability for the model are established, by applying Lyapunov method and generalized Kirchhoff's matrix tree theorem. These criterions have a close relation to the topology property of networks. Finally, two examples and simulations are provided to illustrate the theoretical results. (C) 2012 Elsevier B. V. All rights reserved.

引用

页码：1822 / 1831

页数：10

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