Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure
| Autor: | M. Tamer Şenel, Akbar Zada, Cuimei Jiang, Tongxing Li |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Dynamical systems theory 02 engineering and technology Topology Dynamical system Antisymmetric structure Chaos theory Fractional-order Lyapunov function symbols.namesake 020901 industrial engineering & automation Ring connection Stability theory Chaos synchronization Synchronization (computer science) 0202 electrical engineering electronic engineering information engineering Fractional-order chaotic system Mathematics Algebra and Number Theory Antisymmetric relation lcsh:Mathematics Applied Mathematics lcsh:QA1-939 Nonlinear system symbols 020201 artificial intelligence & image processing Analysis |
| Zdroj: | Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019) |
| Popis: | 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: | OpenAIRE |
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