DocumentCode
550167
Title
An observability inequality for a stochastic heat cascade equations and application
Author
Yan Yuqing
Author_Institution
Coll. of Sci., Univ. of Zhejiang Univ. of Techology, Hangzhou, China
fYear
2011
fDate
22-24 July 2011
Firstpage
1296
Lastpage
1299
Abstract
In this paper, by means of Carleman estimates and the usual energy estimate, we obtain an observability inequality for a cascade stochastic heat equations. Furthermore, the constant in the observability inequality is estimated by an explicit function of the norm of the involved coefficients in the equations. Also, we apply our observability estimate to obtain the existence of insensitizing controls for a forward stochastic heat equations.
Keywords
cascade systems; heat conduction; observability; stochastic processes; Carleman estimates; energy estimate; observability inequality; stochastic heat cascade equations; Controllability; Equations; Mathematical model; Observability; Space heating; Stochastic processes; Carleman Estimate; Observability Inequality; Stochastic Heat Equation;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2011 30th Chinese
Conference_Location
Yantai
ISSN
1934-1768
Print_ISBN
978-1-4577-0677-6
Electronic_ISBN
1934-1768
Type
conf
Filename
6000504
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