Finite-time synchronisation of memristive hyperchaotic circuit based on Lorenz system with transmission delay

In this paper, we analyse the characteristics of one type of circuit structure that is extended from simplified Lorenz system by taking a memristor as feedback. Considering the transmission time delay between master system and slave system, we used a compound finite-time synchronisation signal controller, which consists of a general feedback control signal and a fine adjustment signal, to ensure the synchronisation of two memristive hyperchaotic circuits based on Lorenz system. Based on Lyapunov stability theory, finite-time control, matrix inequality, and considering the transmission time delay, the finite-time synchronisation condition for this type of memristive hyperchaotic circuit based on Lorenz system with transmission time delay via finite-time controller is given. Finally, simulation results are used to verify the feasibility and effectiveness of this method.