Mean Square Asymptotic Stability of Stochastic Delayed Systems by Fixed Point Theory

被引:0
作者
Zhao, Birong [1 ]
Deng, Fei-Qi
Luo, Jiao-Wan
机构
[1] Guangzhou Univ, Dept Appl Math, Guangzhou 510006, Guangdong, Peoples R China
来源
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6 | 2009年
关键词
Fixed Points; Stochastic system; Variable Delays and Mean Square Stability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXPONENTIAL STABILITY;
D O I
10.1109/ICMLC.2009.5212701
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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 m cans 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
引用
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页码:3678 / +
页数:2
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