Controllability Analysis of Linear Discrete Time Systems with Time Delay in State

Controllability Analysis of Linear Discrete Time Systems with Time Delay in State

The controllability issues for linear discrete-time systems with delay in state are addressed. By introducing a new concept, the minimum controllability realization index (MinCRI), the characteristic of controllability is revealed. It is proved that the MinCRI of a system with state delay exists and...

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Main Authors: Hong Shi, Guangming Xie, Wenguang Luo
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/490903
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spelling doaj-8f4c98da8d80403e99eef179ea82f5312020-11-24T22:16:28ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/490903490903Controllability Analysis of Linear Discrete Time Systems with Time Delay in StateHong Shi0Guangming Xie1Wenguang Luo2Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, ChinaState Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, ChinaSchool of Electric and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaThe controllability issues for linear discrete-time systems with delay in state are addressed. By introducing a new concept, the minimum controllability realization index (MinCRI), the characteristic of controllability is revealed. It is proved that the MinCRI of a system with state delay exists and is finite. Based on this result, a necessary and sufficient condition for the controllability of discrete-time linear systems with state delay is established.http://dx.doi.org/10.1155/2012/490903
collection DOAJ
language English
format Article
sources DOAJ
author Hong Shi
Guangming Xie
Wenguang Luo
spellingShingle Hong Shi
Guangming Xie
Wenguang Luo
Controllability Analysis of Linear Discrete Time Systems with Time Delay in State
Abstract and Applied Analysis
author_facet Hong Shi
Guangming Xie
Wenguang Luo
author_sort Hong Shi
title Controllability Analysis of Linear Discrete Time Systems with Time Delay in State
title_short Controllability Analysis of Linear Discrete Time Systems with Time Delay in State
title_full Controllability Analysis of Linear Discrete Time Systems with Time Delay in State
title_fullStr Controllability Analysis of Linear Discrete Time Systems with Time Delay in State
title_full_unstemmed Controllability Analysis of Linear Discrete Time Systems with Time Delay in State
title_sort controllability analysis of linear discrete time systems with time delay in state
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description The controllability issues for linear discrete-time systems with delay in state are addressed. By introducing a new concept, the minimum controllability realization index (MinCRI), the characteristic of controllability is revealed. It is proved that the MinCRI of a system with state delay exists and is finite. Based on this result, a necessary and sufficient condition for the controllability of discrete-time linear systems with state delay is established.
url http://dx.doi.org/10.1155/2012/490903
work_keys_str_mv AT hongshi controllabilityanalysisoflineardiscretetimesystemswithtimedelayinstate
AT guangmingxie controllabilityanalysisoflineardiscretetimesystemswithtimedelayinstate
AT wenguangluo controllabilityanalysisoflineardiscretetimesystemswithtimedelayinstate
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