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

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

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...

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Main Authors: L. F. Araghi, A. A. Suratgar, E. Feizi
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/302542
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spelling doaj-079c2739b5f844869738cd73429d7b462020-11-25T00:11:17ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/302542302542Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of SubsystemsL. F. Araghi0A. A. Suratgar1E. Feizi2Department of Electrical and Computer Engineering, Science and Research Branch, Islamic Azad University, Tehran 14515-775, IranDepartment of Electrical Engineering, Amirkabir University of Technology, Tehran, IranDepartment of Mathematics, Bu-Ali Sina University, Hamedan, IranStability 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.http://dx.doi.org/10.1155/2014/302542
collection DOAJ
language English
format Article
sources DOAJ
author L. F. Araghi
A. A. Suratgar
E. Feizi
spellingShingle L. F. Araghi
A. A. Suratgar
E. Feizi
Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
Abstract and Applied Analysis
author_facet L. F. Araghi
A. A. Suratgar
E. Feizi
author_sort L. F. Araghi
title Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
title_short Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
title_full Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
title_fullStr Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
title_full_unstemmed Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
title_sort global uniform asymptotic stability of a class of switched linear systems with an infinite number of subsystems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/302542
work_keys_str_mv AT lfaraghi globaluniformasymptoticstabilityofaclassofswitchedlinearsystemswithaninfinitenumberofsubsystems
AT aasuratgar globaluniformasymptoticstabilityofaclassofswitchedlinearsystemswithaninfinitenumberofsubsystems
AT efeizi globaluniformasymptoticstabilityofaclassofswitchedlinearsystemswithaninfinitenumberofsubsystems
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