Exponential Stability in Mean Square of Neutral Stochastic Partial Differential Systems with Distributed Delays

Author

Zhang, Yu-tian ; Luo, Qi

Author_Institution

Univ. of Inf. Sci. & Technol., Nanjing

fYear

2007

fDate

May 30 2007-June 1 2007

Firstpage

102

Lastpage

106

Abstract

This work is devoted to exponential stability in mean square of neutral stochastic partial differential systems with distributed delay. On the basis of Fubini theorem, some useful corresponding criteria are given by applying Ito differential formula to the constructed average Lyapunov function with respect to spatial variables. This technology is far different from the general method when the considered object is stochastic ordinary equation and is just the main novelty of this paper.

Keywords

Lyapunov methods; asymptotic stability; delays; mean square error methods; partial differential equations; stochastic processes; Fubini theorem; Ito differential formula; Lyapunov function; distributed delays; mean square exponential stability; neutral stochastic partial differential systems; Delay systems; Differential equations; Educational institutions; Indium tin oxide; Lyapunov method; Partial differential equations; Stability; Stochastic processes; Stochastic systems; Symmetric matrices; Ito formula; Stochastic partial differential equation; distributed delay; exponential stability in mean square;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2007. ICCA 2007. IEEE International Conference on

Conference_Location

Guangzhou

Print_ISBN

978-1-4244-0817-7

Electronic_ISBN

978-1-4244-0818-4

Type

conf

DOI

10.1109/ICCA.2007.4376327

Filename

4376327