ON PRACTICAL STABILITY OF TIME SCALE PERTURBED SYSTEMS

被引：1

作者：

Ben Nasser, Bacem ^{[1
]}

Hammami, Mohamed Ali ^{[1
]}

机构：

[1] Fac Sci Sfaxm, Dept Math, Rd Soukra,BP 1171, Sfax 3000, Tunisia

来源：

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES | 2014年 / 12卷 / 01期

关键词：

Time scales; Practical stability; Uniform exponential stability; Perturbed systems; Quadratic stability;

D O I：

10.1080/1726037X.2014.922252

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work addresses the problem of uniform practical exponential stability for nonlinear perturbed systems on time scales. Based on Lyapunov techniques and LMI's approach, new sufficient conditions are derived, to find the positive definite function which the derivative is negative definite and provides the uniform practical asymptotic aspect for the system. We present numerical examples to illustrate the proposed result.

引用

页码：51 / 67

页数：17

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