On Stability for Conformable Fractional Linear System

This paper focuses on the stability problem for the conformable fractional autonomous linear system. The asymptotic stability and Lyapunov stability for such linear system will be studied, respectively. Our aim is to give the necessary and sufficient conditions for the existence of the stability for conformable fractional autonomous system. It is also shown that stability conditions obtained in the paper have the same forms as conventional integer order linear system. Two examples are given to illustrate the effectiveness of the proposed stability conditions.