Exponential stability of time-delay systems with nonlinear uncertainties

被引：15

作者：

Ali, M. Syed ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Gandhigram Rural Univ, Dept Math, Gandhigram, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 06期

关键词：

exponential stability; linear matrix inequality; Lyapunov method; nonlinear uncertainty; time-delay systems; DEPENDENT ROBUST STABILITY; LINEAR-SYSTEMS; LMI APPROACH; PERTURBATIONS;

D O I：

10.1080/00207160802322324

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global exponential stability and the exponential convergence rate for time-delay systems with nonlinear uncertainties are investigated. A novel exponential stability criterion for the system is derived using the Lyapunov method. These stability conditions are formulated as linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms. The issue of exponential stability for time-delay systems with nonlinear uncertainties using generalized eigen value problem (GEVP) approach remains open, which motivates this paper. Numerical examples are given to illustrate the usefulness of our proposed method.

引用

页码：1363 / 1373

页数：11

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