Stability of high-order uncertain differential equations

High-order uncertain differential equations are applied to model differentiable uncertain systems with high-order differentials. In order to describe the influence of the initial value on the solution, this paper proposes two concepts of stability for high-order uncertain differential equation, including stability in measure and stability in mean. Most important of all, some stability theorems are given for a high-order uncertain differential equation. In addition, this paper shows that the given condition is not necessary for a high-order uncertain differential equation being stable via a counterexample. Lastly, this paper will discuss the relationship between stability in measure and stability in mean.