4.4 Article

Some stability theorems of uncertain differential equation

Journal

FUZZY OPTIMIZATION AND DECISION MAKING
Volume 12, Issue 1, Pages 3-13

Publisher

SPRINGER
DOI: 10.1007/s10700-012-9139-4

Keywords

Uncertainty theory; Uncertain differential equation; Canonical process; Stability

Funding

  1. National Natural Science Foundation of China [61273044]

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Canonical process is a type of uncertain process with stationary and independent increments which are normal uncertain variables, and uncertain differential equation is a type of differential equation driven by canonical process. This paper will give a theorem on the Lipschitz continuity of canonical process based on which this paper will also provide a sufficient condition for an uncertain differential equation being stable.

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