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External stability of Caputo fractional-order nonlinear control systems: advances in the Lyapunov function method

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Abstract

In this work, we present an important advance in the Lyapunov function method for the external stability of Caputo fractional-order nonlinear control systems. Benefiting from the very recent development of fractional calculus, the continuous differentiability imposed on inputs and vector field functions as required by the existing Lyapunov function method is successfully removed. This reduction in conditions improves the existing results to a large extent.

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  1. Institutes for Systems Genetics,West China Hospital, Sichuan University, Chengdu, 610041, China

    Cong Wu

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  1. Cong Wu
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Correspondence to Cong Wu.

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Wu, C. External stability of Caputo fractional-order nonlinear control systems: advances in the Lyapunov function method. Nonlinear Dyn 104, 429–438 (2021). https://doi.org/10.1007/s11071-020-06182-5

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