Circuit Implementation of A Time-delayed Chaotic System via Impulsive Control

This paper investigates the circuit implementation of a time-delayed chaotic system via impulsive control. A fixed-time impulse circuit is implemented, and the impulsive time-delayed system is constructed by adding the impulse circuit as impulsive control to a time-delayed system. The circuit model of the impulsive time-delayed system is also realized. By analyzing the dynamics such as timing diagram, phase diagram, initial value sensitivity characteristics, and the maximum Lyapunov exponent, the impulsive time-delayed system is proved to be chaotic. The results of circuit and dynamics verify the effectiveness and feasibility of the impulse circuit and the impulsive time-delayed chaotic system.