Implementation and Simulation of Fractional Order Chaotic Circuits with Time-Delay

The potential application of nonlinear systems and time delay, has a resulted in increasing attention to such systems. In this paper, we designed numerical and circuit models for synchronisation of fractional-order chaotic systems with time delay. Also two fractional order Sprott chaotic systems with time delay is used systems, and, the control circuit is designed for synchronization of the chaotic systems. To provide time delay, all pass filter circuit model has been used. Global stability for the synchronisation is defined according to Lyapunov stability criteria and according to the stability method, the input range is determined to make the system stable. The paper is presented numerical solution of fractional order systems with time delay and designed the circuit model of the system. 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.