Boundary Controllability and Observability of a Viscoelastic String

Paola Loreti 1 Luciano Pandolfi 2 Daniela Sforza 3
1 MeMoMat - Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate
2 Dipartimento di Scienze Matematiche
3 Dipartimento di Scienze di Base e Applicate per l'Ingegneria
Abstract : In this paper we consider an integrodifferential system, which governs the vibration of a viscoelastic one-dimensional object. We assume that we can act on the system at the boundary and we prove that it is possible to control both the position and the velocity at every point of the body and at a certain time T, large enough. We shall prove this result using moment theory and we shall prove that the solution of this problem leads to identification of a Riesz sequence which solves controllability and observability. The results presented here are constructive and can lead to simple numerical algorithms.
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Article dans une revue
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2012, 50 (2), pp.820-844. 〈10.1137/110827740〉
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https://hal.inria.fr/hal-00724784
Contributeur : Estelle Bouzat <>
Soumis le : mercredi 22 août 2012 - 16:03:39
Dernière modification le : lundi 21 mars 2016 - 11:34:47

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Paola Loreti, Luciano Pandolfi, Daniela Sforza. Boundary Controllability and Observability of a Viscoelastic String. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2012, 50 (2), pp.820-844. 〈10.1137/110827740〉. 〈hal-00724784〉

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