Journal
SOFT COMPUTING
Volume 20, Issue 9, Pages 3673-3678Publisher
SPRINGER
DOI: 10.1007/s00500-015-1727-0
Keywords
Uncertainty theory; Uncertain process; Uncertain differential equation; Exponential stability
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Funding
- National Natural Science Foundation of China [61273044, 61262023, 61462086]
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Uncertain differential equation is a type of differential equations involving uncertain processes. So far, the concepts of stability in measure and stability in mean have been proposed for uncertain differential equations. This paper proposes a new type of stability for uncertain differential equation, named exponential stability. Some examples are given to illustrate the concept, and the relationships between exponential stability, stability in measure and stability in mean are discussed. Besides, a sufficient and necessary condition for a linear uncertain differential equation being exponentially stable is derived.
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