Stability and Stabilization for a Class of Semilinear Fractional Differential Systems
Autor: | Badawi Hamza Elbadawi Ibrahim, Qixiang Dong, Zhengdi Zhang |
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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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