Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs

The controllability issues for discrete-time linear systems with delay in state and control are addressed. By introducing a new concept, the controllability realization index (CRI), the characteristic of controllability is revealed. An easily testable necessary and sufficient condition for the contr...

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Main Authors: Hong Shi, Guangming Xie, Wenguang Luo
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/975461
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author Hong Shi
Guangming Xie
Wenguang Luo
author_facet Hong Shi
Guangming Xie
Wenguang Luo
author_sort Hong Shi
collection DOAJ
description The controllability issues for discrete-time linear systems with delay in state and control are addressed. By introducing a new concept, the controllability realization index (CRI), the characteristic of controllability is revealed. An easily testable necessary and sufficient condition for the controllability of discrete-time linear systems with state and control delay is established.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-1258a9d650594491858600594fc7ce572025-02-03T05:51:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/975461975461Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed InputsHong 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 discrete-time linear systems with delay in state and control are addressed. By introducing a new concept, the controllability realization index (CRI), the characteristic of controllability is revealed. An easily testable necessary and sufficient condition for the controllability of discrete-time linear systems with state and control delay is established.http://dx.doi.org/10.1155/2013/975461
spellingShingle Hong Shi
Guangming Xie
Wenguang Luo
Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs
Abstract and Applied Analysis
title Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs
title_full Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs
title_fullStr Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs
title_full_unstemmed Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs
title_short Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs
title_sort controllability of linear discrete time systems with both delayed states and delayed inputs
url http://dx.doi.org/10.1155/2013/975461
work_keys_str_mv AT hongshi controllabilityoflineardiscretetimesystemswithbothdelayedstatesanddelayedinputs
AT guangmingxie controllabilityoflineardiscretetimesystemswithbothdelayedstatesanddelayedinputs
AT wenguangluo controllabilityoflineardiscretetimesystemswithbothdelayedstatesanddelayedinputs