Stability in p-th moment for uncertain differential equation

被引：67

作者：

Shenga, Yuhong ^{[1
]}

Wang, Chongguo ^{[2
]}

机构：

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

[2] Xinjiang Univ, Sch Informat Sci & Engn, Tianshan, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 26卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Uncertainty theory; uncertain differential equation; uncertain process; stability;

D O I：

10.3233/IFS-130812

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

An canonical process is stationary independent increment uncertain process whose increments are normal uncertain variables. Uncertain differential equation is a type of differential equation driven by the canonical process. This paper will give a concept of stability in p-th moment for uncertain differential equations. A sufficient and necessary condition for linear uncertain differential equation, and a sufficient condition with general uncertain differential equation being stable in p-th moment will be given.

引用

页码：1263 / 1271

页数：9

共 23 条

[1]

[Anonymous], 2008, UNCERTAINTY THEORY

[2]

[Anonymous], 2009, THEORY PRACTICE UNCE

[3]

[Anonymous], 2012, J UNCERTAIN SYST

[4] Existence and uniqueness theorem for uncertain differential equations [J].

Chen, X. ;

Liu, B. .

FUZZY OPTIMIZATION AND DECISION MAKING, 2010, 9 (01) :69-81

[5]

Chen X., J UNCERTAIN IN PRESS

[6]

Chen X., 2011, Int. J. Oper. Res., V8, P32

[7]

Gao Y, 2012, J Uncertain Syst, V6, P223

[8]

Liu B, 2010, J Uncertain Syst, V4, P163

[9]

Liu B., 2011, Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty

[10]

Liu B., 2009, J. Uncertain Syst., V3, P3

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