Controllability of some bilinear and semilinear parabolic problems

Moroccan Journal of Pure and Applied Analysis

Khayar M. Jidou¹ 

[1]Laboratory LAMA, FSDM, University of Sidi Mohamed Ben Abdellah, B.P 1796 Atlas Fez, Morocco

关键词: parabolic system;    bilinear control;    partial controllability;    exact controllability;    semilinear system;    93c20;    35k10;    93b05;   

DOI  :  10.2478/mjpaa-2019-0016

来源: DOAJ

【 摘 要 】

We present in this paper a survey of recent results on the controllability of the parabolic system governed by bilinear control. We first discuss the problem of global controllability which corresponds to the question of whether the solution of the system can be driven to a given state at a some finite time by means of a control. We give some results on the global controllability of bilinear and semilinear reaction-diffusion equations. After this we introduce the case of partial controllability with the control acting on a subregion of the domain. Illustrative examples are also provided.

【 授权许可】

Unknown