Stability in mean of multi-dimensional uncertain differential equation

摘要

A multi-dimensional uncertain differential equation is a type of differential equation. Stability of a multi-dimensional means insensitivity of the state of a system to small changes in the initial state. This paper presents a concept of stability in mean for multi-dimensional uncertain differential equation. Some stability theorems for the solution of multi-dimensional uncertain differential equation are given, in which some sufficient conditions for a multi-dimensional uncertain differential equation being stable in mean. In addition, this paper discusses their relationships between stability in measure and stability in mean.