Mean square asymptotic stability of stochastic delayed systems by fixed point theory

Author

Zhao, Bi-rong ; Deng, Fei-qi ; Luo, Jiao-wan

Author_Institution

Dept. of Appl. Math., Guangzhou Univ., Guangzhou, China

Volume

6

fYear

2009

fDate

12-15 July 2009

Firstpage

3678

Lastpage

3683

Abstract

In this paper, we consider a nonlinear neutral stochastic system with variable delays and give conditions to ensure that the zero solution is asymptotically mean square stable by means of fixed point theory. These conditions do not require the roundedness of delays, nor do they ask for a fixed sign on the coefficient functions. An asymptotically mean square stable theorem with necessary and sufficient condition is proved. Some results are improved and generalized.

Keywords

asymptotic stability; delay systems; mean square error methods; nonlinear systems; stochastic systems; fixed point theory; mean square asymptotic stability; nonlinear neutral stochastic system; stochastic delayed system; Asymptotic stability; Cybernetics; Delay systems; Differential equations; Machine learning; Mathematics; Nonlinear control systems; Stochastic processes; Stochastic systems; Sufficient conditions; Fixed Points; Mean Square Stability; Stochastic system; Variable Delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212701

Filename

5212701