Title :
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
fDate :
May 30 2007-June 1 2007
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;
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
DOI :
10.1109/ICCA.2007.4376327
