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This article is devoted to the study of null controllability properties for two systems of coupled one dimensional degenerate parabolic equations. The first system consists of two forward equations, while the second one consists of one forward equation and one backward equation. Both systems are in cascade, that is, the solution of the first equation acts… (More)

This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear wave equation in a cylinder Ω×(0, T ). More precisely, we intend to drive the solution of the heat equation (resp. the wave equation) exactly to zero (resp. exactly to a prescribed but arbitrary final state). The control acts only on… (More)

- Sorin Micu, Luz de Teresa
- Asymptotic Analysis
- 2010

The paper studies the controllability properties of the linear 2-D wave equation in the rectangle Ω = (0, a)× (0, b). We consider two types of action, on an edge or on two adjacent edges of the boundary. Our analysis is based on Fourier expansion and explicit construction and evaluation of biorthogonal sequences. This method allows us to measure the… (More)

- Sorin Micu, Jaime H. Ortega, Luz de Teresa
- Systems & Control Letters
- 2004

- Sorin Micu, Jaime H. Ortega, Luz de Teresa
- Appl. Math. Lett.
- 2004

- Farid Ammar Khodja, Assia Benabdallah, Manuel González-Burgos, Luz De, Luz de Teresa, Ammar Khodja
- 2017

Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B 2 L(C, Y ), Y being some suitable extrapolation space of X, and u 2 L(0, T ;C). Under some assumptions on the sequence of eigenvalues Λ = {λk}k≥1 ⇢ C of (A, D(A)), we prove the existence of a minimal time T0 2 [0,1] depending on Bernstein’s… (More)

- Sergei Avdonin, Abdon E. Choque Rivero, Luz de Teresa
- Applied Mathematics and Computer Science
- 2013

We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s… (More)

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