Feedback stabilization of a class of evolution equations with delay

被引：0
|
作者：
E. M. Ait Benhassi
K. Ammari
S. Boulite
L. Maniar
机构：
[1] Université Cadi Ayyad,Département de Mathématiques, Faculté des Sciences Semlalia
[2] Université de Monastir,Département de Mathématiques, Faculté des Sciences de Monastir
来源：
Journal of Evolution Equations | 2009年 / 9卷
关键词：
34K06; 34K20; 35L05; 35L10; 47D06; 93D15; Systems with delay; Feedback stabilization; Observability inequality; Exponential decay; Semigroup;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：103 / 121
页数：18
相关论文
共 50 条
  • [1] Feedback stabilization of a class of evolution equations with delay
    Benhassi, E. M. Ait
    Ammari, K.
    Boulite, S.
    Maniar, L.
    JOURNAL OF EVOLUTION EQUATIONS, 2009, 9 (01) : 103 - 121
  • [2] STABILIZATION OF SECOND ORDER EVOLUTION EQUATIONS WITH UNBOUNDED FEEDBACK WITH DELAY
    Nicaise, Serge
    Valein, Julie
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (02) : 420 - 456
  • [3] Stabilization of Second Order Evolution Equations with Unbounded Feedback with Delay
    Ammari, Kais
    Nicaise, Serge
    STABILIZATION OF ELASTIC SYSTEMS BY COLLOCATED FEEDBACK, 2015, 2124 : 61 - 71
  • [4] STABILIZATION OF SECOND ORDER EVOLUTION EQUATIONS WITH UNBOUNDED FEEDBACK WITH TIME-DEPENDENT DELAY
    Fridman, Emilia
    Nicaise, Serge
    Valein, Julie
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2010, 48 (08) : 5028 - 5052
  • [5] Feedback boundary stabilization of wave equations with interior delay
    Ammari, Kais
    Nicaise, Serge
    Pignotti, Cristina
    SYSTEMS & CONTROL LETTERS, 2010, 59 (10) : 623 - 628
  • [6] Stabilization of hybrid neutral stochastic differential delay equations by delay feedback control
    Chen, Weimin
    Xu, Shengyuan
    Zou, Yun
    SYSTEMS & CONTROL LETTERS, 2016, 88 : 1 - 13
  • [7] A Class of Fractional Degenerate Evolution Equations with Delay
    Debbouche, Amar
    Fedorov, Vladimir E.
    MATHEMATICS, 2020, 8 (10) : 1 - 8
  • [8] Interior Feedback Stabilization of Wave Equations with Dynamic Boundary Delay
    Ammari, Kais
    Gerbi, Stephane
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2017, 36 (03): : 297 - 327
  • [9] INTERIOR FEEDBACK STABILIZATION OF WAVE EQUATIONS WITH TIME DEPENDENT DELAY
    Nicaise, Serge
    Pignotti, Cristina
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
  • [10] THE PRACTICAL FEEDBACK STABILIZATION FOR EVOLUTION EQUATIONS IN BANACH SPACES
    Hanen, Damak
    ACTA MECHANICA ET AUTOMATICA, 2021, 15 (02) : 58 - 65
12345