Asymptotical Stability for a Class of Discrete Systems with Variable Delay

被引：0

作者：

Liu, Xin-Ge ^{[1
]}

Wang, Feng-Xian ^{[1
]}

Tang, Mei-Lan ^{[1
]}

Shu, Yan-Jun ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Peoples R China

来源：

2015 8TH INTERNATIONAL CONFERENCE ON BIOMEDICAL ENGINEERING AND INFORMATICS (BMEI) | 2015年

关键词：

asymptotical stability; summation; Wirtinger inequality; Jensen inequality; TIME-VARYING DELAY; NEURAL-NETWORKS; STATE DELAY; STABILIZATION; INEQUALITIES;

D O I：

暂无

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

In this paper, based on the discrete Wirtinger inequality, the problem of summation inequality is investigated. Some new summation inequalities are established, which extend the discrete Jensen inequality effectively. As an application of the summation inequalities, a novel sufficient criterion on asymptotical stability of discrete systems with variable delay is proposed. A numerical example is provided to show that our stability criterion achieves the improvements over the existing ones.

引用

页码：566 / 571

页数：6

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