Finite-time stability of fractional-order nonlinear systems

2024/02/01 by Zaiyong Feng, Zhengrong Xiang
Engineering · Mathematics · #Advanced Control Systems Design #Advanced Differential Equations and Dynamical Systems #Fractional Differential Equations Solutions

paper · doi:10.1063/5.0170419

openalex publication_date 2024/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The paper studies the finite-time stability (FTS) of equilibrium points (EPs) in fractional-order nonlinear systems (FONSs). Classifying the EPs into initial EP and finite-time EP innovatively, equations of the EPs in FONSs are investigated comprehensively, and a unified definition depicting the EPs in the FONSs is proposed. Furthermore, sufficient conditions of the FTS of EPs in FONSs are given. The proposed results are verified with an illustrative example. Thus, different from existing works that declare non-existence of finite-time stable equilibria in FONSs, the existence of finite-time stable EPs in FONSs is confirmed in this paper.

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