Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems

Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems

The finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS...

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Main Authors: Songlin Wo, Xiaoxin Han
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/579863
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spelling doaj-07d759d6235e4a8181922047066238f32020-11-25T01:43:51ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/579863579863Finite-Time Stability Analysis of Discrete-Time Linear Singular SystemsSonglin Wo0Xiaoxin Han1School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, Jiangsu 213001, ChinaSchool of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, Jiangsu 213001, ChinaThe finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology. In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI) approach; this condition can be expressed in terms of LMIs. Finally, an illustrating example is also given to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/579863
collection DOAJ
language English
format Article
sources DOAJ
author Songlin Wo
Xiaoxin Han
spellingShingle Songlin Wo
Xiaoxin Han
Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
Mathematical Problems in Engineering
author_facet Songlin Wo
Xiaoxin Han
author_sort Songlin Wo
title Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
title_short Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
title_full Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
title_fullStr Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
title_full_unstemmed Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
title_sort finite-time stability analysis of discrete-time linear singular systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description The finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology. In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI) approach; this condition can be expressed in terms of LMIs. Finally, an illustrating example is also given to show the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2014/579863
work_keys_str_mv AT songlinwo finitetimestabilityanalysisofdiscretetimelinearsingularsystems
AT xiaoxinhan finitetimestabilityanalysisofdiscretetimelinearsingularsystems
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