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一个具有零特征的线性双曲型方程组的精确能控性

江秀存 于立新

烟台大学学报(自然科学与工程版)2017,Vol.30Issue(4):267-272,6.
烟台大学学报(自然科学与工程版)2017,Vol.30Issue(4):267-272,6.DOI:10.13951/j.cnki.37-1213/n.2017.04.001

一个具有零特征的线性双曲型方程组的精确能控性

Exact Controllability of a Linear Hyperbolic Systems with Zero Eigenvalues

江秀存 1于立新1

作者信息

  • 1. 烟台大学数学与信息科学学院,山东烟台264005
  • 折叠

摘要

Abstract

We consider the exact controllability of a linear hyperbolic systems with zero eigenvalues.First of all,we give a necessary condition about initial and final values.In this situation,we can realize the controllability just by boundary control.Then,we consider that the condition does not meet the case.We add the internal control to the equations with zero eigenvalues.And we realize the exact controllability by local internal controls acting on equations corresponding to non-zero eigenvalues and boundary controls.

关键词

线性双曲型方程组/精确能控性/混合初边值问题/边界控制和内部控制

Key words

linear hyperbolic equation/exact controllability/mixed initial-boundary value problem/boundary control and internal control

分类

数理科学

引用本文复制引用

江秀存,于立新..一个具有零特征的线性双曲型方程组的精确能控性[J].烟台大学学报(自然科学与工程版),2017,30(4):267-272,6.

烟台大学学报(自然科学与工程版)

1004-8820

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