TÍNH ỔN ĐỊNH MITTAG-LEFFLER CHO MỘT LỚP HỆ PHÂN THỨ PHI TUYẾN CÓ NHÂN SUY GIẢM

Abstract

Mittag-Leffler stability is a concept in automatic control theory that describes the ability of a
linear time-varying system to maintain stability when its parameters are varied. The study of Mittag-Leffler
stability is necessary because it provides a powerful and general criterion for analyzing the stability of
dynamical systems, especially those with complex or nonlinear characteristics. This is important in many
fields such as control theory, engineering, and physics. In this paper, we study the problem of adjustable
Mittag-Leffler stability for a class of nonlinear adjustable fractional-order systems. By using the Lyapunov
function method combined with linear matrix inequality techniques, a new sufficient condition is given to
ensure it. A numerical example is given to illustrate the effectiveness of our results