In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness

More precisely, we wish to reconstruct an obstacle characterized by a Dirichlet boundary condition from lateral Cauchy data given on a subpart of the boundary of the domain and over

An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning

We shall also mention that estimating the observability constant in small times for the heat equation in the one-dimensional case is related to the uniform controllability of

It will be said that (1) is null controllable at time T if there exists a control function u such that the corresponding initial boundary problem possesses a solution y which is null

Weissler, Asymptotically self-similar global solutions of a general semilinear heat equation, Math. Xu, Existence and nonexistence of global solutions for a semilinear heat

To give an example, in [LL18, Theorem 1.15], the authors have derived a lower bound on the observability constant of the heat equation in the limit ε → 0 which is uniform in x 0 ,

les donnees qui est un peu faible. L'ecart entre les deux valeurs a donc une signication statistique de 1.7 . Dans un deuxieme temps, nous avons remplace dans la fonction

Chapter 7: This chapter presents the design of a backstepping control feedback in order to exponentially sta- bilize the same wave equation considered in Part I, but assuming that