Null controllability of the 2D heat equation using flatness

It follows that a local exact controllability for a semilinear heat equation in a space of analytic functions (if available) would dramatically improve the existing results, giving

This paper addresses the problem of optimizing the distribution of the support of the internal null control of minimal L 2 -norm for the 1-D heat equation. A measure constraint

While it is natural for us to talk about cumulated gain over time, the traditional cumulated gain measures have substi- tuted document rank for time and implicitly model a user

Olive, Sharp estimates of the one-dimensional bound- ary control cost for parabolic systems and application to the N-dimensional boundary null-controllability in cylindrical

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

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

A similar flatness-based ap- proach is used in [22] for explicitly establishing the null controllability of the heat equation, and generalized to 1D parabolic equations in [24], with

This section is devoted to the proof of the main result of this article, Theorem 1.2, that is the null-controllability of the Kolmogorov equation (1.1) in the whole phase space with