DocumentCode :
3218894
Title :
A unified treatment for controllability/observability problems of partial differential equations of second order
Author :
Fu Xiaoyu
Author_Institution :
Sch. of Math., Sichuan Univ., Chengdu, China
fYear :
2006
fDate :
7-11 Aug. 2006
Firstpage :
966
Lastpage :
971
Abstract :
In this paper, a weighted identity for partial differential operators (a + ib) ∂t + Σj, k =1n ∂k (ajk ∂j), (a, b ∈ R), is established. By suitably choosing the parameters a and b, one may deduce all the known controllability/observability results for the parabolic, hyperbolic, Schrodinger and plate equations that are derived via Carleman estimate. Meanwhile, a new controllability/observability result is presented for the linearized complex Ginzburg-Landau equation.
Keywords :
Schrodinger equation; controllability; hyperbolic equations; observability; parabolic equations; partial differential equations; Carleman estimate; Schrodinger equations; controllability problems; hyperbolic equations; linearized complex Ginzburg-Landau equation; observability problems; parabolic equations; plate equations; second order partial differential equations; Controllability; IEEE catalog; Mathematics; Observability; Partial differential equations; Strontium; Carleman estimate; Controllability; complex Ginzburg-Landau equation; observability;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
Type :
conf
DOI :
10.1109/CHICC.2006.280838
Filename :
4060672
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3218894
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