On Algebraic condition for null controllability of some coupled degenerate systems
| Autor: | Maniar Lahcen, Ait Ben Hassi El Mustapha, Fadili Mohamed |
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| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Constant coefficients Control and Optimization Computer Science::Information Retrieval Applied Mathematics Scalar (mathematics) Diagonalizable matrix Degenerate energy levels Controllability Rank condition Optimization and Control (math.OC) FOS: Mathematics Observability Algebraic number Mathematics - Optimization and Control Mathematics |
| DOI: | 10.48550/arxiv.1705.03044 |
| Popis: | In this paper we will generalize the Kalman rank condition for the null controllability to \begin{document}$n$\end{document} -coupled linear degenerate parabolic systems with constant coefficients, diagonalizable diffusion matrix, and \begin{document}$m$\end{document} -controls. For that we prove a global Carleman estimate for the solutions of a scalar \begin{document}$2n$\end{document} -order parabolic equation then we infer from it an observability inequality for the corresponding adjoint system, and thus the null controllability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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