Stability in mean for uncertain differential equation.

*(English)*Zbl 1463.93250Summary: 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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\textit{K. Yao} et al., Fuzzy Optim. Decis. Mak. 14, No. 3, 365--379 (2015; Zbl 1463.93250)

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