Abstract
In many cases, the uncertain factor influencing dynamic systems is not single. Multifactor uncertain differential equation is a type of differential equation driven by the multiple Liu processes. Some concepts of stability in measure and stability in mean for multifactor uncertain differential equations have been proposed. This paper focuses on presenting a concept of the almost sure stability of multifactor uncertain differential equation. A sufficient condition for a multifactor uncertain differential equation being almost surely stable are provided. In addition, this paper discusses some examples to illustrate the theoretical considerations.
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