On stability of nonlinear nonautonomous discrete fractional Caputo systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Franco-Perez, Luis¹  Fernandez-Anaya, Guillermo²  Alberto Quezada-Tellez, Luis¹ 

[1] Univ Autonoma Metropolitana Cuajimalpa, Dept Matemat Aplicadas & Sistemas, Av Vasco de Quiroga 4871, Ciudad De Mexico 05348, Mexico

[2] Univ Iberoamer, Dept Fis & Matemat, Prol Paseo de la Reforma 880, Ciudad De Mexico 01219, Mexico

关键词: Mittag-Leffler stability;    Discrete Caputo fractional system;    Uniform asymptotical stability;   

DOI  :  10.1016/j.jmaa.2020.124021

来源: Elsevier

【 摘 要 】

Conditions to establish Mittag-Leffler stability of solutions for nonlinear nonautonomous discrete Caputo-like fractional systems just from the linear associated system is shown. Mittag-Leffler stability for linear systems is tackled pointing out properties the matrix must satisfy. Additionally features on solutions for linear systems are included in order to establish the equivalence between uniform asymptotical stability and exponential stability. Converse-like-Lyapunov Theorem is developed and a particular result to show Mittag-Leffler stability from a condition on a linear part of the full system is worked. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free