An MDADT-based approach for -gain analysis of discrete-time switched delay systems

We study the L 2 -gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the L 2 -gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functiona...

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Main Authors: Xu, Honglei, Xie, X., Shi, L.
Format: Journal Article
Published: Hindawi Publishing Corporation 2016
Online Access:http://hdl.handle.net/20.500.11937/61236
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author Xu, Honglei
Xie, X.
Shi, L.
author_facet Xu, Honglei
Xie, X.
Shi, L.
author_sort Xu, Honglei
building Curtin Institutional Repository
collection Online Access
description We study the L 2 -gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the L 2 -gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee the L 2 -gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:19:28Z
publishDate 2016
publisher Hindawi Publishing Corporation
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-612362018-04-09T07:19:28Z An MDADT-based approach for -gain analysis of discrete-time switched delay systems Xu, Honglei Xie, X. Shi, L. We study the L 2 -gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the L 2 -gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee the L 2 -gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results. 2016 Journal Article http://hdl.handle.net/20.500.11937/61236 10.1155/2016/1673959 http://creativecommons.org/licenses/by/4.0/ Hindawi Publishing Corporation fulltext
spellingShingle Xu, Honglei
Xie, X.
Shi, L.
An MDADT-based approach for -gain analysis of discrete-time switched delay systems
title An MDADT-based approach for -gain analysis of discrete-time switched delay systems
title_full An MDADT-based approach for -gain analysis of discrete-time switched delay systems
title_fullStr An MDADT-based approach for -gain analysis of discrete-time switched delay systems
title_full_unstemmed An MDADT-based approach for -gain analysis of discrete-time switched delay systems
title_short An MDADT-based approach for -gain analysis of discrete-time switched delay systems
title_sort mdadt-based approach for -gain analysis of discrete-time switched delay systems
url http://hdl.handle.net/20.500.11937/61236