Robust Stability of Uncertain Discrete-Time Switched Systems With Time-Varying Delay

被引：0

作者：

Mohammed, Charqi ^{[1
]}

El Houssaine, Tissir ^{[1
]}

Mohamed, Ouahi ^{[2
]}

Noureddine, Chaibi ^{[3
]}

机构：

[1] Univ Sidi Mohammed Ben Abdellah, Fac Sci Dhar El Mehraz, Dept Phys, Fez Atlas, Fez, Morocco

[2] Univ Sidi Mohammed Ben Abdellah, Sch Appl Sci ENSA, Lab Engn & Appl Syst Lisa, Fez Atlas, Fez, Morocco

[3] Univ Hassan 2, Fac Sci Ain Chock, Dept Phys, Casablanca, Morocco

来源：

2018 INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND COMPUTER VISION (ISCV2018) | 2018年

关键词：

Switched Systems; Time-varying Delay; Robust Stability; Asymptotic Stability; Lyapunov-Krasovskii functional; Linear Matrix Inequality (LMIs); slacks variables; Lower an Upper Bounds delay; uncertain parameters; STABILIZATION;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we focus on robust stability for uncertain discrete-time switched Systems with Time varying Delay and linear fractional perturbations for arbitrary switching law. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, new sufficient conditions of asymptotic stability for nominal switched system are proposed by using switched Lyapunov function. The conditions are dependent on the minimum and maximum delay bounds and are established in a form of a set of strict linear matrix inequalities (LMIs). Furthermore, slack variables are introduced for more relaxation. Finally, some numerical examples are provided to demonstrate the effectiveness of the proposed approach and to compare the obtained results with the existing literature ones.

引用

页数：7

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