Stability and Stabilization for a Class of Semilinear Fractional Differential Systems

Autor: Badawi Hamza Elbadawi Ibrahim, Qixiang Dong, Zhengdi Zhang
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Function Spaces, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2020/3814902
Popis: This paper considers a class of semilinear fractional-order systems with Caputo derivative. New conditions ensuring asymptotic stability and stabilization of fractional systems with the fractional order between 0 and 2 are proposed. The analysis is based on a property of convolution and asymptotic properties of Mittag-Leffler functions. Some numerical examples are provided to illustrate the feasibility and validity of the proposed approach.
Databáze: Directory of Open Access Journals
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