UNIFORM EXPONENTIAL STABILITY AND APPROXIMATION IN CONTROL OF A THERMOELASTIC SYSTEM

Authors
LIU ZY ZHENG SM
Citation
Zy. Liu et Sm. Zheng, UNIFORM EXPONENTIAL STABILITY AND APPROXIMATION IN CONTROL OF A THERMOELASTIC SYSTEM, SIAM journal on control and optimization, 32(5), 1994, pp. 1226-1246
Citations number
21
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
32
Issue
5
Year of publication
1994
Pages
1226 - 1246
Database
ISI
SICI code
0363-0129(1994)32:5<1226:UESAAI>2.0.ZU;2-P
Abstract
This paper has two objectives. First, necessary and sufficient conditi ons are given to characterize the uniform exponential stability of a s equence of c0-semigroups T(n)(t) on Hilbert space H(n). Secondly, appr oximation in control of a one-dimensional thermoelastic system, subjec t to Dirichlet-Dirichlet as well as Dirichlet-Neumann boundary conditi ons, is considered. The uniform exponential stability and strong conve rgence of corresponding semigroups associated with approximate scheme are proved. Numerical experimental results are also presented.