DocumentCode
1644056
Title
Energy Decay Rate of the Plate Equation with Potential and Indefinite Damping
Author
Yingtao, Wu
Author_Institution
Sichuan Univ., Chengdu
fYear
2007
Firstpage
635
Lastpage
639
Abstract
We consider the plate equation with an indefinite sign damping and a zero order potential term. By means of the global Carleman-type estimate and the usual energy estimate, we show that the energy of the system decays exponentially. Also, using the classical perturbation theory, we give an explicit upper bound estimate on the negative damping to guarantee the exponential decay rate.
Keywords
damping; exponential distribution; perturbation techniques; plates (structures); classical perturbation theory; energy decay rate; exponential decay rate; indefinite sign damping; negative damping; plate equation; upper bound estimate; zero order potential term; Damping; Equations; Hydrogen; Mathematics; Observability; State estimation; Upper bound; Carleman Estimate; Exponential Decay Rate; Indefinite Damping; Observability Inequality; Plate Equation;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference, 2007. CCC 2007. Chinese
Conference_Location
Hunan
Print_ISBN
978-7-81124-055-9
Electronic_ISBN
978-7-900719-22-5
Type
conf
DOI
10.1109/CHICC.2006.4347040
Filename
4347040
Link To Document