Optimal boundary control of forced vibrations by the displacement at one end of the string with the other end fixed

被引：0

作者：

M. F. Abdukarimov

机构：

[1] Moscow State University,

来源：

Differential Equations | 2014年 / 50卷

关键词：

Generalize Solution; Terminal State; Boundary Control; Boundary Energy; Force Vibration;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a string vibration process described by an inhomogeneous wave equation, we consider the problem of boundary control at one end of the string with the other end being fixed. For any time interval T > 2l, where l is the string length, we find a function u(0, t) = µ(t) bringing the vibration system from a given initial state into a given terminal state and minimizing the boundary energy integral.

引用

页码：677 / 688

页数：11

共 50 条

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