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.

引用

页码：123 / 147

页数：24

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