A positivity-based approach to delay-dependent stability of systems with large time-varying delays

被引：30

作者：

Domoshnitsky, Alexander ^{[1
]}

Fridman, Emilia ^{[2
]}

机构：

[1] Ariel Univ, Dept Math, Ariel, Israel

[2] Tel Aviv Univ, Dept Elect Engn, Tel Aviv, Israel

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 97卷

基金：

以色列科学基金会;

关键词：

Time-delay systems; Exponential stability; Positive systems; LINEAR-SYSTEMS;

D O I：

10.1016/j.sysconle.2016.09.011

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 we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：139 / 148

页数：10

共 35 条

[11]

Campbell S.A., 2001, Diff. Eqns. Dyn. Syst, V9, P115

[12]

DOMOSHNITSKY A, 2008, DYNAM CONT DIS SER A, V15, P769

[13]

Domoshnitsky A., 1989, DIFF URAVN, V25, P201

[14] Stability and estimate of solution to uncertain neutral delay systems [J].