On the problem of exact controllability of neutral systems with time delay
We study the problem of exact controllability for a broad class of neutral and mixed systems with time delay. We consider an equivalent operator model in a Hilbert space and formulate steering conditions for controllable states in the form of a vector moment problem. The existence of a basis of eige...
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| Datum: | 2016 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1879 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We study the problem of exact controllability for a broad class of neutral and mixed systems with time delay. We consider
an equivalent operator model in a Hilbert space and formulate steering conditions for controllable states in the form of
a vector moment problem. The existence of a basis of eigenvectors of the operator of system with delay significantly
simplifies the form of the moment problem. A change of function in the control by a feedback law modi es the system
structure in order to guarantee the existence of a basis of eigenvectors of the corresponding operator. We prove a criterion
for the exact controllability and determine the exact critical time of control. |
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