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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/302542 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551161819824128 |
|---|---|
| author | L. F. Araghi A. A. Suratgar E. Feizi |
| author_facet | L. F. Araghi A. A. Suratgar E. Feizi |
| author_sort | L. F. Araghi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-079c2739b5f844869738cd73429d7b46 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-079c2739b5f844869738cd73429d7b462025-02-03T06:04:43ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/302542 |
| work_keys_str_mv | AT lfaraghi globaluniformasymptoticstabilityofaclassofswitchedlinearsystemswithaninfinitenumberofsubsystems AT aasuratgar globaluniformasymptoticstabilityofaclassofswitchedlinearsystemswithaninfinitenumberofsubsystems AT efeizi globaluniformasymptoticstabilityofaclassofswitchedlinearsystemswithaninfinitenumberofsubsystems |