On partial approximate controllability of semilinear systems
In this paper, a sufficient condition for the partial approximate controllability of semilinear deterministic control systems is proved. Generally, the theorems on controllability are formulated for control systems given as a first-order differential equation, while many systems can be written in th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2014-12-01
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| Series: | Cogent Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23311916.2014.965947 |
| _version_ | 1797712570596982784 |
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| author | Agamirza E. Bashirov Noushin Ghahramanlou |
| author_facet | Agamirza E. Bashirov Noushin Ghahramanlou |
| author_sort | Agamirza E. Bashirov |
| collection | DOAJ |
| description | In this paper, a sufficient condition for the partial approximate controllability of semilinear deterministic control systems is proved. Generally, the theorems on controllability are formulated for control systems given as a first-order differential equation, while many systems can be written in this form only by enlarging the dimension of the state space. The ordinary controllability conditions for such systems are too strong because they involve the enlarged state space. Therefore, it becomes useful to define partial controllability concepts, which assume the original state space. The method of proof, given in this paper, differs from the traditional proofs by fixed point theorems. The obtained result is demonstrated on examples. |
| first_indexed | 2024-03-12T07:23:43Z |
| format | Article |
| id | doaj.art-e5b41cdf03794495a4ea4a61f284d7b3 |
| institution | Directory Open Access Journal |
| issn | 2331-1916 |
| language | English |
| last_indexed | 2024-03-12T07:23:43Z |
| publishDate | 2014-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Cogent Engineering |
| spelling | doaj.art-e5b41cdf03794495a4ea4a61f284d7b32023-09-02T22:16:09ZengTaylor & Francis GroupCogent Engineering2331-19162014-12-011110.1080/23311916.2014.965947965947On partial approximate controllability of semilinear systemsAgamirza E. Bashirov0Noushin Ghahramanlou1Eastern Mediterranean UniversityEastern Mediterranean UniversityIn this paper, a sufficient condition for the partial approximate controllability of semilinear deterministic control systems is proved. Generally, the theorems on controllability are formulated for control systems given as a first-order differential equation, while many systems can be written in this form only by enlarging the dimension of the state space. The ordinary controllability conditions for such systems are too strong because they involve the enlarged state space. Therefore, it becomes useful to define partial controllability concepts, which assume the original state space. The method of proof, given in this paper, differs from the traditional proofs by fixed point theorems. The obtained result is demonstrated on examples.http://dx.doi.org/10.1080/23311916.2014.965947approximate controllabilityexact controllabilitypartial controllabilitysemilinear system |
| spellingShingle | Agamirza E. Bashirov Noushin Ghahramanlou On partial approximate controllability of semilinear systems Cogent Engineering approximate controllability exact controllability partial controllability semilinear system |
| title | On partial approximate controllability of semilinear systems |
| title_full | On partial approximate controllability of semilinear systems |
| title_fullStr | On partial approximate controllability of semilinear systems |
| title_full_unstemmed | On partial approximate controllability of semilinear systems |
| title_short | On partial approximate controllability of semilinear systems |
| title_sort | on partial approximate controllability of semilinear systems |
| topic | approximate controllability exact controllability partial controllability semilinear system |
| url | http://dx.doi.org/10.1080/23311916.2014.965947 |
| work_keys_str_mv | AT agamirzaebashirov onpartialapproximatecontrollabilityofsemilinearsystems AT noushinghahramanlou onpartialapproximatecontrollabilityofsemilinearsystems |