UNIFORM EXPONENTIAL STABILITY AND APPROXIMATION IN CONTROL OF A THERMOELASTIC SYSTEM

被引：17

作者：

LIU, ZY ^{[1
]}

ZHENG, SM ^{[1
]}

机构：

[1] FUDAN UNIV,INST MATH,SHANGHAI 200433,PEOPLES R CHINA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 05期

关键词：

LINEAR THERMOELASTIC SYSTEM; UNIFORM EXPONENTIAL STABILITY; SEMIGROUP; APPROXIMATION IN CONTROL;

D O I：

10.1137/S0363012991219006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper has two objectives. First, necessary and sufficient conditions are given to characterize the uniform exponential stability of a sequence of c0-semigroups T(n)(t) on Hilbert space H(n). Secondly, approximation in control of a one-dimensional thermoelastic system, subject to Dirichlet-Dirichlet as well as Dirichlet-Neumann boundary conditions, is considered. The uniform exponential stability and strong convergence of corresponding semigroups associated with approximate scheme are proved. Numerical experimental results are also presented.

引用

页码：1226 / 1246

页数：21

共 21 条

[1]

BALAKRISHNAN AV, 1981, APPLIED FUNCTIONAL A

[2]

BANKS HT, 1991, EXPONENTIALLY STABLE

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