Feedback stabilization of a class of evolution equations with delay

被引：79

作者：

Benhassi, E. M. Ait ^{[1
]}

Ammari, K. ^{[2
]}

Boulite, S. ^{[1
]}

Maniar, L. ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Dept Math, Fac Sci Semlalia, Marrakech 40000, Morocco

[2] Univ Monastir, Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2009年 / 9卷 / 01期

关键词：

Systems with delay; Feedback stabilization; Observability inequality; Exponential decay; Semigroup; WAVE-EQUATION; BOUNDARY STABILIZATION; TIME DELAYS; ENERGY DECAY; DOMAIN; DISSIPATION; STABILITY; ACTUATOR; RESPECT; SYSTEMS;

D O I：

10.1007/s00028-009-0004-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the stabilization of some delay systems. The proof of the main result uses the method introduced in Ammari and Tucsnak (ESAIM COCV 6: 361-386, 2001) where the exponential stability for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system.

引用

页码：103 / 121

页数：19

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