A note about the linearized stability of a class of nonlinear fractional differential systems

2016/08/29 by Hoang The Tuan, Tuan, H. T.
Engineering · Mathematics · #Advanced Control Systems Design #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1608.07906

openalex publication_date 2016/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss on the linearized stability of the trivial solution for a class of nonlinear Caputo fractional differential systems of order α∈(1,2). We show that some recent existing results in this direction are wrong. To complete the literature we also give a criterion to test the asymptotic stability of the trivial solution of this system.

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