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| Regional averaged controllability for hyperbolic parameter dependent systems |
| MounaABDELLI,AbdelhakHAFDALLAH,FaycalMERGHADI,MeriemLOUAFI |
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| (Laboratory of Mathematics Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002 Tebessa, Algeria) |
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| 摘要: |
| The purpose of this paper is to extend the notion of regional controllability for hyperbolic parameter dependent systems. The key idea is the characterization of the \textit{averaged regional control} with minimal energy. This control steers the state average (with respect to such a parameter) towards the desired state only on a given part of the system evolution domain. In this paper, we give the precis definition and the properties of this new concept. Then, we use an approach based on an extension of the Hilbert uniqueness method devoted to the calculation of the control in two different cases: zone control and pointwise control. |
| 关键词: Parameter dependent system, averaged regional controllability, averaged control, Hilbert uniqueness method, minimum energy |
| DOI：https://doi.org/10.1007/s11768-020-0006-5 |
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| 基金项目:This work was supported by the Directorate-General for Scientific Research and Technological Development (DGRSDT). |
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| Regional averaged controllability for hyperbolic parameter dependent systems |
| Mouna ABDELLI,Abdelhak HAFDALLAH,Faycal MERGHADI,Meriem LOUAFI |
| (Laboratory of Mathematics Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002 Tebessa, Algeria) |
| Abstract: |
| The purpose of this paper is to extend the notion of regional controllability for hyperbolic parameter dependent systems. The key idea is the characterization of the \textit{averaged regional control} with minimal energy. This control steers the state average (with respect to such a parameter) towards the desired state only on a given part of the system evolution domain. In this paper, we give the precis definition and the properties of this new concept. Then, we use an approach based on an extension of the Hilbert uniqueness method devoted to the calculation of the control in two different cases: zone control and pointwise control. |
| Key words: Parameter dependent system, averaged regional controllability, averaged control, Hilbert uniqueness method, minimum energy |
