Title :
Fixed points and stability of neutral stochastic nonlinear systems with some variable delays
Author_Institution :
Sch. of Math. & Inf. Sci., Guangzhou Univ., Guangzhou, China
Abstract :
In this paper, the stability of neutral stochastic nonlinear systems with some variable delays is considered. By means of fixed point theory and Ito differential formula, the necessary and sufficient condition of asymptotic mean square stability theorem is derived. It is shown that the approaches developed here extend and improve the ideas presented in recent literatures.
Keywords :
asymptotic stability; delays; differential equations; nonlinear systems; stochastic systems; Ito differential formula; asymptotic mean square stability theorem; fixed point theory; neutral stochastic nonlinear systems; variable delays; Asymptotic stability; Delay; Differential equations; Equations; Mathematical model; Stability analysis; Stochastic processes;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765193
