Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems-Reference-Cited by-同舟云学术

Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Araghi L. F.¹,Suratgar A. A.²³,Feizi E.⁴

Affiliation:

1. Department of Electrical and Computer Engineering, Science and Research Branch, Islamic Azad University, Tehran 14515-775, Iran

2. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran

3. The Center of Excellence on Control and Robotics, Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran

4. Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran

Abstract

Stability of switching systems with an infinite number of subsystems is important in some structure of systems, like fuzzy systems, neural networks, and so forth. Because of the relationship between stability of a set of matrices and switching systems, this paper first studies the stability of a set of matrices, then and the results are applied for stability of switching systems. Some new conditions for globally uniformly asymptotically stability (GUAS) of discrete-time switched linear systems with an infinite number of subsystems are proposed. The paper considers some examples and simulation results.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/302542.pdf

Reference17 articles.

1. Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results

2. Stability and stabilization of switched linear dynamic systems with time delay and uncertainties

3. Robust stabilization of uncertain impulsive switched systems with delayed control

4. Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces

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