The pth moment exponential stability of uncertain differential equation with jumps

Article type: Research Article

Authors: Liu, Shiqin^a | Liu, Liying^{b; *} | Wang, Na^a | Zhang, Jianguang^a

Affiliations: [a] College of Mathematics and Computer Science, Hengshui University, Hebei, China | [b] School of Mathematics Science, Liaocheng University, Liaocheng, China

Correspondence: [*] Corresponding author. Liying Liu, School of Mathematics Science, Liaocheng University, Liaocheng, China. E-mail: lyliu001@163.com.

Abstract: Under the axiom system of uncertainty theory, the paper mainly introduce the new definition of the pth moment exponential stability for uncertain differential equation with jumps. For illustrating the concept, some examples and counterexamples are given. Furthermore, we obtain a necessary and sufficient condition of stability in pth moment exponential for the linear uncertain differential equation with jumps. Also, the conclusion condition is illustrated very clearly by two examples.

Keywords: Stability, uncertain differential equation, uncertainty theory

DOI: 10.3233/JIFS-200409

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 4419-4425, 2020