Optimization of a nonlocal boundary control of vibrations of a string with a fixed end for an arbitrary time interval that is a multiple of 2l

被引：0

作者：

A. A. Kholomeeva

机构：

[1] Moscow State University,

来源：

Differential Equations | 2008年 / 44卷

关键词：

Wave Equation; Generalize Solution; Function System; Regular Solution; Mixed Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the optimization problem for a nonlocal boundary control of vibrations of an elastic string with fixed right end for an arbitrary sufficiently large time interval that is a multiple of twice the string length. We prove the existence and uniqueness of a generalized solution of the first boundary value problem and indicate an explicit expression for the solution. The optimal control is found in closed form.

引用

页码：717 / 721

页数：4