Some stability theorems of uncertain differential equation

被引：176

作者：

Yao, Kai ^{[1
]}

Gao, Jinwu ^{[2
]}

Gao, Yuan ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China

来源：

FUZZY OPTIMIZATION AND DECISION MAKING | 2013年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Uncertainty theory; Uncertain differential equation; Canonical process; Stability;

D O I：

10.1007/s10700-012-9139-4

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Canonical process is a type of uncertain process with stationary and independent increments which are normal uncertain variables, and uncertain differential equation is a type of differential equation driven by canonical process. This paper will give a theorem on the Lipschitz continuity of canonical process based on which this paper will also provide a sufficient condition for an uncertain differential equation being stable.

引用

页码：3 / 13

页数：11

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