The boundedness, global Mittag-Leffler sability and S-asymptotic ω-periodic of fractional-order fuzzy inertial neural networks with delays

Article type: Research Article

Authors: Li, Zhiying | Xu, Danning^* | Zhang, Yuehong

Affiliations: Yuanpei College, Shaoxing University, Shaoxing, China

Correspondence: [*] Corresponding author: Danning Xu, Yuanpei College, Shaoxing University, Shaoxing, China. E-mail: [email protected].

Abstract: The boundedness, global Mittag-Leffler stability (GMLS), and S-asymptotic ω-periodic of fuzzy fractional-order inertial neural networks (FINN) with delays are discussed. Using the properties of Riemann-Liouville fractional-order calculus, variable substitutions and the property of fuzzy functions are adopted to get the boundedness, the GMLS, and the S-asymptotic ω-periodic of the system. Furthermore, a numerical example is given to demonstrate the theorems.

Keywords: Fuzzy inertial neural networks, fractional-order, boundedness, S-asymptotic -periodic, global Mittag-Leffler stability

DOI: 10.3233/JCM-226512

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 23, no. 1, pp. 133-148, 2023