The general goal of this work is to obtain upper and lower bounds for the $ L^ 2$-norm of
biorthogonal families to complex exponential functions associated to sequences …

We consider scalar-input control systems in the vicinity of an equilibrium, at which the
linearized systems are not controllable. For finite dimensional control systems, the authors …

In this paper we prove a uniform controllability result for a fourth order parabolic partial
differential equation which includes a transport term, when the coefficients of higher order …

There recently has been some interest in the space of functions on an interval satisfying the
heat equation for positive time in the interior of this interval. Such functions were …

We consider the 1D linear Schr {\" o} dinger equation, on a bounded interval, with Dirichlet
boundary conditions and bilinear scalar control. The small-time local exact controllability …

In this paper, we study the pointwise controllability of the one-dimensional degenerate heat
equation. Necessary and sufficient conditions for approximate and null controllability are …

Our goal is to study controllability and observability properties of the 1D heat equation with
internal control (or observation) set ω ε=(x 0− ε, x 0+ ε), in the limit ε→ 0, where x 0∈(0, 1). It …

On étudie dans cet article des systèmes de contrôle paraboliques autonomes linéaires
abstraits. Dans [9], avec A. Benabdallah, nous avons introduit la méthode des moments par …

A set of complex numbers $\Lambda=\{\lambda_n,\mu_n\} _ {n= 1}^{\infty} $ with multiple
terms\[\{\lambda_n,\mu_n\} _ {n= 1}^{\infty}:=\{\underbrace {\lambda_1,\lambda_1,\dots …

Cette thèse est consacrée au contrôle de l'équation de Schrödinger sur un intervalle borné,
avec des conditions de bord de Dirichlet et un contrôle agissant de manière bilinéaire. On …