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Stability analysis of fractional-order systems with the Riemann–Liouville derivative

Stability analysis of fractional-order systems with the Riemann–Liouville derivative

In this paper, the stability of fractional-order systems with the Riemann–Liouville derivative is discussed. By applying the Mittag-Leffler function, generalized Gronwall inequality and comparison principle to fractional differential systems, some sufficient conditions ensuring stability and asymptotic stability are given.