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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-1258a9d650594491858600594fc7ce57 |
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 |