The characterization of the exponential stability of a family of C-0-semigroups by infinitesimal generators

被引：13

作者：

Guo, BZ ^{[1
]}

机构：

[1] BEIJING INST TECHNOL,DEPT APPL MATH,BEIJING 100081,PEOPLES R CHINA

来源：

SEMIGROUP FORUM | 1998年 / 56卷 / 01期

关键词：

D O I：

10.1007/s00233-002-7006-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give some conditions on the exponential stability of a family of strongly continuous semigroups on Hilbert space, which are characterized by the corresponding infinitesimal generators.

引用

页码：78 / 83

页数：6

共 8 条

[1] BEALS R, 1972, J FUNCT ANAL, V10, P281
[2] THE REGULATOR PROBLEM FOR PARABOLIC EQUATIONS WITH DIRICHLET BOUNDARY CONTROL .2. GALERKIN APPROXIMATION
LASIECKA, I
TRIGGIANI, R
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1987, 16 (03) : 187 - 216
[3] UNIFORM EXPONENTIAL STABILITY AND APPROXIMATION IN CONTROL OF A THERMOELASTIC SYSTEM
LIU, ZY
ZHENG, SM
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (05) : 1226 - 1246
[4] Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]
[5] ON THE SPECTRUM OF CO-SEMIGROUPS
PRUSS, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 284 (02) : 847 - 857
[6] TRIGGIANI R, 1994, SEMIGROUP FORUM, V4, P387
[7] THE RESOLVENT GROWTH ASSUMPTION FOR SEMIGROUPS ON HILBERT-SPACES
WEISS, G
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 145 (01) : 154 - 171
[8] YAO PF, 1994, THESIS ACAD SINICA

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