Improved Stability Condition for a Competitive Lotka-Volterra System with Time-Varying Delays

被引：0

作者：

Zhao, Lei ^{[1
]}

Xu, Er Feng ^{[2
]}

Chen, Yu Zhen ^{[1
]}

机构：

[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453000, Henan, Peoples R China

[2] Henan Inst Sci & Technol, Sch Food Sci, Xinxiang 453000, Henan, Peoples R China

来源：

2011 INTERNATIONAL CONFERENCE ON COMPUTER, ELECTRICAL, AND SYSTEMS SCIENCES, AND ENGINEERING (CESSE 2011) | 2011年

关键词：

Lotka-Volterra system; Asymptotic stability; Time-varying delays; Integral inequality; Linear matrix inequality (LMI); ASYMPTOTIC STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the asymptotic stability problem is considered for a competitive Lotka-Volterra system with time-varying delays. Based on the Lyapunov stability theory and integral inequality method, delay-dependent asymptotic stability criterion is derived in terms of LMI, which can guarantee the asymptotic stability of the given Lotka-Volterra system. The result is new and improves some results in the earlier literatures. A numerical example is given to demonstrate the effectiveness of the obtained result.

引用

页码：193 / +

页数：2

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