Hierarchic control for the one-dimensional wave equation in domains with moving boundary

被引：2

作者：

de Jesus, Isaias Pereira ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 32卷

关键词：

Hierarchic control; Stackelberg strategy; Approximate controllability; Optimality system; EXACT CONTROLLABILITY;

D O I：

10.1016/j.nonrwa.2016.05.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the study of the 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 1 - 2/1+e(2), 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) 2016 Elsevier Ltd. All rights reserved.

引用

页码：377 / 388

页数：12

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