Stabilization of second-order evolution equations with time delay

被引：33
|
作者：
Nicaise, Serge [1 ]
Pignotti, Cristina [2 ]
机构：
[1] Univ Valenciennes & Hainaut Cambresis, Inst Sci & Tech Valenciennes, Lab Math & Leurs Applicat, F-59313 Valenciennes 9, France
[2] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, I-67010 Coppito, Laquila, Italy
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2014年 / 26卷 / 04期
关键词：
Second-order evolution equations; Delay feedbacks; Stabilization; WAVE-EQUATION; BOUNDARY STABILIZATION; FEEDBACK STABILIZATION; ENERGY DECAY; CONTROLLABILITY; STABILITY; SYSTEMS; REGION;
D O I：
10.1007/s00498-014-0130-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framework is then applied to the wave equation, the elasticity system and the Petrovsky system.
引用
收藏
页码：563 / 588
页数：26
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