Novel Delay-Dependent and Order-Dependent Stability Criteria for Fractional-Order Linear Systems with Time-Varying Delay

This paper studies the stability of fractional-order systems (FOSs) with time-varying delay. By constructing a suitable Lyapunov-Krasovskii function (LKF) and utilizing fractional-order Leibniz-Newton formula and inequality technique, the linear matrix inequality (LMI) criterion that guarantees the asymptotic stability of FOSs with time-varying delay are derived. Finally, the numerical example is given and simulated to prove the feasibility and usability of the obtained theoretical results.