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

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Jiang C., Zada A., ŞENEL M. T., Li T.

ADVANCES IN DIFFERENCE EQUATIONS, cilt.2019, sa.1, 2019 (SCI-Expanded) identifier identifier

  • 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
  • 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.