EXPONENTIAL STABILITY OF THE SEMIGROUP ASSOCIATED WITH A THERMOELASTIC SYSTEM

被引：52

作者：

LIU, ZG ^{[1
]}

ZHENG, SM ^{[1
]}

机构：

[1] FUDAN UNIV,SHANGHAI,PEOPLES R CHINA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1993年 / 51卷 / 03期

关键词：

D O I：

10.1090/qam/1233528

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper it is proved that the semigroup associated with the one-dimensional thermoelastic system with Dirichlet boundary conditions is an exponentially stable C0-semigroup of contraction on the space H0(1) x L2 x L2. The technique of the proof is completely different from the usual energy method. It is shown that the exponential decay in D(A) recently obtained by Revira is a consequence of our main result. An important application of our main result to the Linear-Quadratic-Gaussian optimal control problem is also discussed.

引用

页码：535 / 545

页数：11

共 14 条

[1]

BALAKRISHNAN AV, 1981, APPLIED FUNCTIONAL A

[2] APPROXIMATIONS OF THERMOELASTIC AND VISCOELASTIC CONTROL-SYSTEMS [J].