Mittag-Leffler Stability of Fractional Discrete Non-Autonomous Systems

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Mittag-Leffler Stability of Fractional Discrete Non-Autonomous Systems

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Author: Mingzhe Sun, Chengmin Hou

Abstract: In this paper, by using Lyapunov’s direct method, we consider the Mittag-Leffler stability of fractional-order non-autonomous systems with the nabla left Caputo diﬀerence operators is studied. The suﬃcient conditions for Mittag-Leffler stability are discussed for such systems.

Keywords: Discrete Fractional Nabla Derivative, Fractional-Order Non-Autonomous Systems, Discrete Mittag-Leffler Function, Stability

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