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Stability in mean for uncertain differential equation. (English) Zbl 1463.93250
Summary: Canonical process is an uncertain process with stationary and independent normal increments, and the uncertain differential equation is a differential equation driven by canonical process. So far, the concept of stability in measure for uncertain differential equations has been proposed. This paper presents a concept of stability in mean for uncertain differential equations, and it gives a sufficient condition for an uncertain differential equation being stable in mean. In addition, it discusses the relationship between stability in mean and stability in measure.

##### MSC:
 93E15 Stochastic stability in control theory 93C41 Control/observation systems with incomplete information 34D20 Stability of solutions to ordinary differential equations
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