Synchronisation and Circuit Model of Fractional-Order Chaotic Systems with Time-Delay


Atan Ö.

17th IFAC Conference on International Stability, Technology and Culture (TECIS), Durres, Albania, 26 - 28 October 2016, vol.49, pp.68-72 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 49
  • Doi Number: 10.1016/j.ifacol.2016.11.097
  • City: Durres
  • Country: Albania
  • Page Numbers: pp.68-72
  • Keywords: Chaos, Synchronization, Fractional order systems, time delayed systems, fractional circuit model

Abstract

The potential application of nonlinear systems and time delay, has a resulted in increasing attention to such systems. Studies on fractional-order nonlinear systems have also received attention. In this paper, we designed numerical and circuit models for synchronisation of fractional-order chaotic systems with time delay. The stability of the system's synchronisation was studied and synchronisation of the two circuits proposed. For different time delay values, the changes in the errors of synchronisation were examined. Finally the results of numerical simulations were compared with the results of circuit analysis to verify the theoretical analysis. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.