Autor: |
Cuimei Jiang, Akbar Zada, M. Tamer Şenel, Tongxing Li |
Jazyk: |
angličtina |
Rok vydání: |
2019 |
Předmět: |
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Zdroj: |
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019) |
Druh dokumentu: |
article |
ISSN: |
1687-1847 |
DOI: |
10.1186/s13662-019-2380-1 |
Popis: |
Abstract This paper discusses the synchronization problem of N-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate controllers to transform the fractional-order error dynamical system into a nonlinear system with antisymmetric structure. By choosing appropriate fractional-order Lyapunov functions and employing the fractional-order Lyapunov-based stability theory, several sufficient conditions are obtained to ensure the asymptotical stabilization of the fractional-order error system at the origin. The proposed method is universal, simple, and theoretically rigorous. Finally, some numerical examples are presented to illustrate the validity of theoretical results. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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