New meaning of exact controllability of linear systems in Hilbert spaces

被引：0

作者：

Liu, KS ^{[1
]}

Russell, DL ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Appl Math, Hangzhou 310027, Peoples R China

来源：

CONTROL OF DISTRIBUTED PARAMETER AND STOCHASTIC SYSTEMS | 1999年 / 13卷

关键词：

exact controllability; C-0; group; generalized eigenfunctions; completeness; elastic system; damping;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is showed that under reasonable conditions, exact controllability of a linear system in a Hilbert space with bounded control implies time reversibility and spectral completeness of the system. The theory is applied to the beam and plate equations with boundary damping to establish their backward-time wellposedness and completeness of associated generalized eigenfunctions.

引用

页码：103 / 110

页数：8

共 20 条

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