Stabilities of Hilbert space contraction semigroups revisited

被引：3

作者：

Kubrusly, Carlos S. ^{[1
]}

Levan, Nhan ^{[2
]}

机构：

[1] Pontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro, Brazil

[2] Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90024 USA

来源：

SEMIGROUP FORUM | 2009年 / 79卷 / 02期

关键词：

Hilbert space contraction semigroups; Exponential stability; Strong stability;

D O I：

10.1007/s00233-009-9134-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A necessary and sufficient condition for exponential stability of Hilbert space contraction semigroups is obtained in terms of an inequality involving the dissipative norm associated with the generator of the semigroup and with the Hilbert space norm.

引用

页码：341 / 348

页数：8

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[1] Stabilities of Hilbert space contraction semigroups revisited
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