Optimal boundary control of the wave equation with pointwise control constraints

被引：0
|
作者：
Martin Gugat
Volker Grimm
机构：
[1] Friedrich-Alexander Universität Erlangen-Nürnberg,Department Mathematik
来源：
Computational Optimization and Applications | 2011年 / 49卷
关键词：
Optimal control; Boundary control; Dirichlet control; Wave equation; Control constraints; Discretization; Finite differences; Discretization error;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In optimal control problems frequently pointwise control constraints appear. We consider a finite string that is fixed at one end and controlled via Dirichlet conditions at the other end with a given upper bound M for the L∞-norm of the control. The problem is to control the string to the zero state in a given finite time. If M is too small, no feasible control exists. If M is large enough, the optimal control problem to find an admissible control with minimal L2-norm has a solution that we present in this paper.
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页码：123 / 147
页数：24
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