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Artículo
Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains
(Society for Industrial and Applied Mathematics, 2014)
In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω = (0, π) × Ω2 with Ω2 a smooth domain of RN−1, N > 1. When the control is exerted on {0} × ω2 with ...
Artículo
A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
(Springer, 2009-06)
We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global ...
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 ...
Artículo
Some controllability results for linear viscoelastic fluids
(Society for Industrial and Applied Mathematics, 2012)
We analyze the controllability properties of systems which provide a description, at first approximation, of a kind of viscoelastic fluid. We consider linear Maxwell fluids. First, we establish the large time approximate-finite ...