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

Abstract

The boundedness, global Mittag-Leffler stability (GMLS), and S-asymptotic $\omega$ -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 $\omega$ -periodic of the system. Furthermore, a numerical example is given to demonstrate the theorems.