Approximate controllability for a one-dimensional wave equation with the fixed endpoint control

被引：4

作者：

de Jesus, Isaias Pereira ^{[1
]}

机构：

[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, PI, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 09期

关键词：

Hierarchical control; Stackelberg strategy; Approximate controllability; Optimality system; HIERARCHICAL CONTROL; NASH EQUILIBRIA; DOMAINS;

D O I：

10.1016/j.jde.2017.06.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of the approximate controllability for a one-dimensional wave equation in domains with moving boundary. This equation models the motion of a string where an endpoint is fixed and the other one is moving. When the speed of the moving endpoint is less than the characteristic speed, the controllability of this equation is established. We present the following results: the existence and uniqueness of Nash equilibrium, the approximate controllability with respect to the leader control, and the optimality system for the leader control. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：5175 / 5188

页数：14

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