Exponential stability of neutral reaction diffusion systems with Brownian noise

Author

Zhang Yutian ; Lai Xianghong

Author_Institution

Coll. of Math. & Phys., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China

fYear

2010

fDate

29-31 July 2010

Firstpage

973

Lastpage

976

Abstract

A major motivation for this paper is to address the problem of exponential stability for neutral reaction diffusion systems with Brownian noise. The underlying relationship is revealed between the reaction diffusion system with Brownian noise and the associated stochastic ordinary differential system. Thereby, Lyapunov method is employed to investigate the asymptotic behavior of reaction diffusion systems with Brownian noise. To conclude, some sufficient conditions for the mean-square exponential stability are proposed through Ito formula together with a constructed average Lyapunov function regarding spatial variables.

Keywords

Brownian motion; Lyapunov methods; asymptotic stability; mean square error methods; reaction-diffusion systems; Brownian noise; Ito formula; Lyapunov method; associated stochastic ordinary differential system; average Lyapunov function; mean-square exponential stability; neutral reaction diffusion systems; spatial variables; Asymptotic stability; Differential equations; Indium tin oxide; Lyapunov method; Noise; Stability analysis; Stochastic processes; Exponential Stability; Neutral; Reaction Diffusion Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5573403