Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure
ADVANCES IN DIFFERENCE EQUATIONS, cilt.2019, sa.1, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2019 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.1186/s13662-019-2380-1
- Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Chaos synchronization, Fractional-order chaotic system, Fractional-order Lyapunov function, Ring connection, Antisymmetric structure, DYNAMICS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Erciyes Üniversitesi Adresli: Evet
Özet
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.