We solve the reachability problem for a coupled wave-wave system with an integro-differential term. The control functions act on one side of the boundary. The estimates on the time is given in terms of the parameters of the problem and they are explicitly computed thanks to Ingham type results. Nevertheless some restrictions appear in our main results. The Hilbert Uniqueness Method is briefly recalled. Our findings can be applied to concrete examples in viscoelasticity theory
Reachability problems for a wave-wave system with a memory term / Loreti, Paola; Sforza, Daniela. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - ELETTRONICO. - (2020), pp. 87-130. [10.3934/eect.2020018]
Reachability problems for a wave-wave system with a memory term
LORETI, Paola;SFORZA, Daniela
2020
Abstract
We solve the reachability problem for a coupled wave-wave system with an integro-differential term. The control functions act on one side of the boundary. The estimates on the time is given in terms of the parameters of the problem and they are explicitly computed thanks to Ingham type results. Nevertheless some restrictions appear in our main results. The Hilbert Uniqueness Method is briefly recalled. Our findings can be applied to concrete examples in viscoelasticity theory| File | Dimensione | Formato | |
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