Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure

Autor:	Cuimei Jiang, Akbar Zada, M. Tamer Şenel, Tongxing Li
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Chaos synchronization Fractional-order chaotic system Fractional-order Lyapunov function Ring connection Antisymmetric structure Mathematics QA1-939
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:	https://doaj.org/article/317c986e1840434eb7e159b52c5a788c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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