Minimal Time of Null Controllability for the 1D Heat Equation by a Strategic Zone Profile

作     者：Cheikh Seck Mame Libasse Laye Ane Cheikh Seck;Mame Libasse Laye Ane

作者机构：Département de Mathématiques de la FASTEF ex ENS de l’Université Cheikh Anta Diop de Dakar Dakar Sénégal Laboratoire d’Analyse Numérique et d’Informatique (LANI) de l’UFR SAT de l’Université Gaston Berger de Saint-Louis Saint-Louis Sénégal Département de mathématiques et d’Informatique de la Faculté des Sciences et Techniques de l’Université Cheikh Anta Diop de Dakar Dakar Sénégal 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2021年第9卷第7期

页      面：1707-1717页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Control Null Controllability Moment Methods Estimations Strategic Actuator 

摘      要：The aim of this work is to improve the minimum time of null controllability of the 1D heat equation by using the notion of strategic zone actuators. In fact, motivated by the work of Khodja on the null controllability of the heat equation and of El Jai on the controllability by the use of strategic zone actuators, we managed, in this work, to improve the minimal time of null controllability to the 1D heat equation. However, the restrictions and difficulties to establish the inequality of coercivity of the parabolic operator, require to seek other methods of internal control. Thus in this paper, a mixed method combining the method of moments and the notion of strategic profile was used to find a better minimal time of null controllability of the 1D heat equation.