Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay
Some flaws on impulsive fractional differential equations (systems) have been found. This paper is concerned with the complete controllability of impulsive fractional linear time-invariant dynamical systems with delay. The criteria on the controllability of the system, which is sufficient and necess...
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| Main Authors: | , , |
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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/10.1155/2013/374938 |
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| _version_ | 1841524413087875072 |
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| author | Xian-Feng Zhou Song Liu Wei Jiang |
| author_facet | Xian-Feng Zhou Song Liu Wei Jiang |
| author_sort | Xian-Feng Zhou |
| collection | DOAJ |
| description | Some flaws on impulsive fractional differential equations (systems) have been found. This paper is concerned with the complete controllability of impulsive fractional linear time-invariant dynamical systems with delay. The criteria on the controllability of the system, which is sufficient and necessary, are established by constructing suitable control inputs. Two examples are provided to illustrate the obtained results. |
| format | Article |
| id | doaj-art-b59f075548e5458a98984e8215737cdb |
| 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-b59f075548e5458a98984e8215737cdb2025-02-03T05:53:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/374938374938Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with DelayXian-Feng Zhou0Song Liu1Wei Jiang2School of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSome flaws on impulsive fractional differential equations (systems) have been found. This paper is concerned with the complete controllability of impulsive fractional linear time-invariant dynamical systems with delay. The criteria on the controllability of the system, which is sufficient and necessary, are established by constructing suitable control inputs. Two examples are provided to illustrate the obtained results.http://dx.doi.org/10.1155/2013/374938 |
| spellingShingle | Xian-Feng Zhou Song Liu Wei Jiang Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay Abstract and Applied Analysis |
| title | Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay |
| title_full | Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay |
| title_fullStr | Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay |
| title_full_unstemmed | Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay |
| title_short | Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay |
| title_sort | complete controllability of impulsive fractional linear time invariant systems with delay |
| url | http://dx.doi.org/10.1155/2013/374938 |
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