Pth moment attractivity analysis for first order uncertain differential systems

Article type: Research Article

Authors: Tao, Nana^{a; *} | Hua, Yang^a | Ding, Chunxiao^b

Affiliations: [a] School of Software Professional Technology, Kaifeng University Kaifeng, P.R.China | [b] School of Mathematical Sciences, Liaocheng University Liaocheng, P.R.China

Correspondence: [*] Corresponding author. Nana Tao, School of Software Professional Technology, Kaifeng University Kaifeng 475000, P.R. China. E-mail: nanatao1981@126.com.

Abstract: It is generally considered that attractivity is a concept that describes the overall characteristics of a system. This paper aims to study Pth moment attractivity for one order uncertain differential systems. According to the theory of uncertain differential systems, the concept of Pth moment attractivity is given. Moreover, the Pth moment attractivity of a class of nonlinear uncertain differential systems is studied and the judgment conditions of linear uncertain differential systems are derived.

Keywords: Pth moment, attractivity, uncertain differential systems, concept, judgment conditions

DOI: 10.3233/JIFS-232233

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 5, pp. 8365-8370, 2023