- Tytuł:
- Synchronization of fractional order Rabinovich-Fabrikant systems using sliding mode control techniques
- Autorzy:
-
Kumar, Sanjay
Singh, Chaman
Prasad, Sada Nand
Shekhar, Chandra
Aggarwal, Rajiv - Powiązania:
- https://bibliotekanauki.pl/articles/229902.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
fractional-order chaotic system
chaos synchronization
Rabinovich-Fabrikant system
Lyapunov exponents - Opis:
- In this research article, we present the concepts of fractional-order dynamical systems and synchronization methodologies of fractional order chaotic dynamical systems using slide mode control techniques. We have analysed the different phase portraits and time-series graphs of fractional order Rabinovich-Fabrikant systems. We have obtained that the lowest dimension of Rabinovich-Fabrikant system is 2.85 through utilization of the fractional calculus and computational simulation. Bifurcation diagrams and Lyapunov exponents of fractional order Rabinovich-Fabrikant system to justify the chaos in the systems. Synchronization of two identical fractional-order chaotic Rabinovich-Fabrikant systems are achieved using sliding mode control methodology.
- Źródło:
-
Archives of Control Sciences; 2019, 29, 2; 307-322
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł