Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales

被引：5

作者：

Ben Nasser, Bacem ^{[1
]}

Defoort, Michael ^{[2
]}

Djemai, Mohamed ^{[2
]}

Laleg-Kirati, Taous-Meriem ^{[1
]}

机构：

[1] KAUST, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal 239556900, Saudi Arabia

[2] UVHC, CNRS, UMR 8201, LAMIH, F-59313 Valenciennes, France

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 16期

关键词：

Dynamic equations on time scales; Practical stability; Lyapunov-Razumikhin techniques; Non-uniform time domains; SYSTEMS; STABILIZATION;

D O I：

10.1016/j.ifacol.2018.08.021

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 work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：121 / 126

页数：6

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