h-Stability of Linear Matrix Differential Systems

h-Stability of Linear Matrix Differential Systems

This paper investigates the stability problem of linear matrix differential systems and gives some sufficient conditions of h-stability for linear matrix system and its associated perturbed system by using the Kronecker product of matrices. An example is also worked out to illustrate our results.

Bibliographic Details
Main Authors: Peiguang Wang, Xiaowei Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/781983
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spelling doaj-162e5672905f41eba3ce62d9809511242020-11-24T20:59:04ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/781983781983h-Stability of Linear Matrix Differential SystemsPeiguang Wang0Xiaowei Liu1College of Electronic and Information Engineering, Hebei University, Baoding, Hebei 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding, Hebei 071002, ChinaThis paper investigates the stability problem of linear matrix differential systems and gives some sufficient conditions of h-stability for linear matrix system and its associated perturbed system by using the Kronecker product of matrices. An example is also worked out to illustrate our results.http://dx.doi.org/10.1155/2013/781983
collection DOAJ
language English
format Article
sources DOAJ
author Peiguang Wang
Xiaowei Liu
spellingShingle Peiguang Wang
Xiaowei Liu
h-Stability of Linear Matrix Differential Systems
Abstract and Applied Analysis
author_facet Peiguang Wang
Xiaowei Liu
author_sort Peiguang Wang
title h-Stability of Linear Matrix Differential Systems
title_short h-Stability of Linear Matrix Differential Systems
title_full h-Stability of Linear Matrix Differential Systems
title_fullStr h-Stability of Linear Matrix Differential Systems
title_full_unstemmed h-Stability of Linear Matrix Differential Systems
title_sort h-stability of linear matrix differential systems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper investigates the stability problem of linear matrix differential systems and gives some sufficient conditions of h-stability for linear matrix system and its associated perturbed system by using the Kronecker product of matrices. An example is also worked out to illustrate our results.
url http://dx.doi.org/10.1155/2013/781983
work_keys_str_mv AT peiguangwang hstabilityoflinearmatrixdifferentialsystems
AT xiaoweiliu hstabilityoflinearmatrixdifferentialsystems
_version_ 1716783873610743808

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