Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation

2014 Control and stabilization for the wave equation, part III: domain with moving boundary, SIAM J. 2014 Contrôlabilité exacte frontière de l’équation d’Euler des

More recently in [AKBDGB09b], with fine tools of partial differential equations, the so- called Kalman rank condition, which characterizes the controllability of linear systems

Moreover, in the case q ≥ 0 the results [4] on controllability of the wave equation (1.1) controlled by the Neumann boundary condition are also extended to the case of the

For the proof of null controllability, a crucial tool will be a new Carleman estimate for the weak solutions of the classical heat equation with nonhomogeneous Neumann

This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with

The goal of this section is to show that, in view of the gap properties obtained in the previous section, the observability inequality is uniform if the boundary measurement

• but when µ ≤ 0, the eigenvalues do not satisfy a good uniform gap condition from above; we use here some new tools developped in [7] in order to treat cases where the eigenvalues

The upper (brown) dots represent the result of Gaudin [22] and coincides with the energy of Lieb’s type-II excitation with zero velocity (momentum π¯ hn) in the model with