STABILITY AND ROBUSTNESS ANALYSIS FOR SWITCHED SYSTEMS WITH TIME-VARYING DELAYS

被引：25

作者：

Mazenc, Frederic ^{[1
]}

Malisoff, Michael ^{[2
]}

Ozbay, Hitay ^{[3
]}

机构：

[1] Cent Supelec, EPI DISCO, L2S, CNRS,INRIA, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[3] Bilkent Univ, Dept Elect & Elect Engn, TR-06800 Ankara, Turkey

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2018年 / 56卷 / 01期

基金：

美国国家科学基金会;

关键词：

switched system; time delay; time-varying system; asymptotic stability; LASALLES INVARIANCE-PRINCIPLE; TO-STATE STABILITY; SUPERVISORY CONTROL; NONLINEAR-SYSTEMS; CONVEX CONDITIONS; STABILIZATION; EXTENSION; THEOREMS;

D O I：

10.1137/16M1104895

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new technique is presented for the stability and robustness analysis of nonlinear switched time-varying systems with uncertainties and time-varying delays. The delays are allowed to be discontinuous (but are required to be piecewise continuous) and arbitrarily long with known upper bounds. The technique uses an adaptation of Halanay's inequality and a trajectory-based technique, and is used for designing switched controllers to stabilize linear time-varying systems with time-varying delays.

引用

页码：158 / 182

页数：25

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