Exponential stability of uncertain differential equation

被引：53
|
作者：
Sheng, Yuhong [1 ,2 ]
Gao, Jinwu [3 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[3] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
来源：
SOFT COMPUTING | 2016年 / 20卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Uncertainty theory; Uncertain process; Uncertain differential equation; Exponential stability;
D O I：
10.1007/s00500-015-1727-0
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Uncertain differential equation is a type of differential equations involving uncertain processes. So far, the concepts of stability in measure and stability in mean have been proposed for uncertain differential equations. This paper proposes a new type of stability for uncertain differential equation, named exponential stability. Some examples are given to illustrate the concept, and the relationships between exponential stability, stability in measure and stability in mean are discussed. Besides, a sufficient and necessary condition for a linear uncertain differential equation being exponentially stable is derived.
引用
收藏
页码：3673 / 3678
页数：6
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