DocumentCode :
234508
Title :
Insensitizing controls for some parabolic systems
Author :
Zhang Muming ; Liu Xu
Author_Institution :
Sch. of Math. & Stat., Northeast Normal Univ., Changchun, China
fYear :
2014
fDate :
28-30 July 2014
Firstpage :
2711
Lastpage :
2716
Abstract :
This paper is addressed to establishing the existence of insensitizing controls for some parabolic systems. First, a class of nonlinear complex Ginzburg-Landau equations are investigated. When the nonlinearity satisfies a suitable superlinear growth condition at infinity, we prove the existence of insensitizing controls for the semilinear Ginzburg-Landau equation. Meanwhile, the insensitivity problem of one-dimensional fourth order linear parabolic equations is studied. The key is to establish the controllability for a coupled fourth order parabolic system by only one control.
Keywords :
controllability; nonlinear equations; parabolic equations; controllability; coupled fourth order parabolic system; insensitivity problem; insensitizing controls; nonlinear complex Ginzburg-Landau equations; one-dimensional fourth order linear parabolic equations; semilinear Ginzburg-Landau equation; superlinear growth condition; Boundary conditions; Controllability; Educational institutions; Equations; Heating; Controllability; Fourth order parabolic equation; Ginzburg-Landau equation; Insensitizing control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
Type :
conf
DOI :
10.1109/ChiCC.2014.6897065
Filename :
6897065
Link To Document :
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