The Lyapunov-Razumikhin theorem for the conformable fractional system with delay

Abstract

This paper explicates the Razumikhin-type uniform stability and a uniform asymptotic stability theorem for the conformable fractional system with delay. Based on a Razumikhin-Lyapunov functional and some inequalities, a delay-dependent asymptotic stability criterion is in the term of a linear matrix inequality (LMI) for the conformable fractional linear system with delay. Moreover, an application of our theorem is illustrated via a numerical example.

Keywords

• lyapunov-razumikhin technique
• conformable fractional delayed system
• linear matrix inequality
• uniform asymptotic stability