有限时滞随机微分输出系统的p阶矩有界性(英文)  

p-MOMENT BOUNDEDNESS OF STOCHASTIC DIFFERENTIAL OUTPUT SYSTEMS WITH FINITE DELAY

作　　者：郭小林[1] 吴述金[2] 

机构地区：[1]安徽财经大学信息工程学院,安徽蚌埠233041 [2]华东师范大学金融与统计学院,上海200241

出　　处：《数学杂志》2010年第3期431-438,共8页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundations of China(10671072;10771070);the Natural Science Foundations of Shanghai(08ZR1407000)

摘　　要：本文研究了有限时滞随机微分输出系统的p阶矩有界性.利用Liapunov第二方法和Razumikhin型条件,获得了关于p阶矩一致有界、p阶矩一致有界且最终有界、p阶矩一致有界且一致最终有界的一些充分条件.This article deals with p-moment boundedness of stochastic differential output systems with finite delay.Using the second Liapunov＇s method and Razumikhin-type conditions, we obtain several theorems on uniform p-moment boundedness,uniform p-moment boundedness and ultimate p-moment boundedness,uniform p-moment boundedness and uniformly ultimate p-moment boundedness.

关 键 词：限时滞的随机微分输出系统 p阶矩有界 LIAPUNOV函数 Razumikhin型条件 

分 类 号：O231.3[理学—运筹学与控制论]