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- W2625846854 abstract "In this paper, we prove a theorem of linearized asymptotic stability for nonlinear fractional differential equations with a time delay. By using the method of linearization of a nonlinear equation along an orbit (Lyapunov's first method), we show that an equilibrium of a nonlinear Caputo fractional delay differential equation is asymptotically stable if its linearization at the equilibrium is asymptotically stable. Our approach is based on a technique that converts the linear part of the equation into a diagonal one. Then by using the properties of generalized Mittag-Leffler functions, the construction of an associated Lyapunov-Perron operator, and the Banach contraction mapping theorem, we obtain the desired result." @default.
- W2625846854 created "2017-06-23" @default.
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- W2625846854 date "2018-09-01" @default.
- W2625846854 modified "2023-10-17" @default.
- W2625846854 title "A Linearized Stability Theorem for Nonlinear Delay Fractional Differential Equations" @default.
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- W2625846854 doi "https://doi.org/10.1109/tac.2018.2791485" @default.
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