4.4 Article

Almost sure stability for uncertain differential equation

期刊

FUZZY OPTIMIZATION AND DECISION MAKING
卷 13, 期 4, 页码 463-473

出版社

SPRINGER
DOI: 10.1007/s10700-014-9188-y

关键词

Uncertainty theory; Uncertain differential equation; Stability; Almost sure stability

资金

  1. National Natural Science Foundation of China [71171003, 61203139, 71371141, 71001080]
  2. Natural Science Foundation of Anhui Universities Grant [KJ2013B023]

向作者/读者索取更多资源

Uncertain differential equation is a type of differential equation driven by Liu process. So far, concepts of stability and stability in mean for uncertain differential equations have been proposed. This paper aims at providing a concept of almost sure stability for uncertain differential equation. A sufficient condition is given for an uncertain differential equation being almost surely stable, and some examples are given to illustrate the effectiveness of the sufficient condition.

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