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Artículo
Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
(Elsevier, 2014-10-01)
Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y being some suitable extrapolation space of X, and u 2 L2 (0, T; C). Under some assumptions on the ...
Artículo
Controllability of linear and semilinear non-diagonalizable parabolic systems
(EDP Sciences, 2015)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of PDEs. We will show that the well known null controllability properties of the classical heat equation ...
Artículo
The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials
(Elsevier, 2011-12)
This paper is devoted to prove the controllability to trajectories of a system of n one-dimensional parabolic equations when the control is exerted on a part of the boundary by means of m controls. We give a general Kalman ...
Artículo
Boundary controllability of parabolic coupled equations
(Elsevier, 2010-10-01)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic equations are considered. We show that, in this framework, boundary ...