The Controllability of the Gurtin-Pipkin Equation: A Cosine Operator Approach
Journal Article
·
· Applied Mathematics and Optimization
- Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi24, 10129 Torino (Italy)
In this paper we give a semigroup-based definition of the solution of the Gurtin-Pipkin equation with Dirichlet boundary conditions. It turns out that the dominant term of the input-to-state map is the control to displacement operator of the wave equation. This operator is surjective if the time interval is long enough. We use this observation in order to prove exact controllability in finite time of the Gurtin-Pipkin equation.
- OSTI ID:
- 21067437
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 52; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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