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arXiv · 2202.00603

Lyapunov Functions and Stability Analysis of Fractional-Order Systems

Adnane Boukhouima·Houssine Zine·El Mehdi Lotfi·Marouane Mahrouf·Delfim F. M. Torres·Noura Yousfi
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Abstract

This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to establish the global stability of steady states for fractional-order systems and generalize some works existing in the literature. Finally, we apply our results to prove the global stability of a fractional-order SEIR model with a general incidence rate.

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Adnane Boukhouima, Houssine Zine, El Mehdi Lotfi, Marouane Mahrouf, Delfim F. M. Torres, Noura Yousfi. 2022-02-01. Lyapunov Functions and Stability Analysis of Fractional-Order Systems. https://doi.org/10.1016/b978-0-32-390504-6.00013-9

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