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

Authors: Hongjuan Wu; Xiang Hu; Yuming Feng

Addresses: School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404120, China; Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education, Chongqing Three Gorges University, Wanzhou, Chongqing, 404120, China ' School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404120, China; Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education, Chongqing Three Gorges University, Wanzhou, Chongqing, 404120, China ' School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing, 404120, China; Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education, Chongqing Three Gorges University, Wanzhou, Chongqing, 404120, China

Abstract: 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.

Keywords: memristor; Lorenz system; transmission time delays; finite-time; synchronisation.

DOI: 10.1504/IJSPM.2018.095876

International Journal of Simulation and Process Modelling, 2018 Vol.13 No.6, pp.582 - 588

Received: 02 Oct 2017
Accepted: 11 Apr 2018
Published online: 25 Oct 2018 *

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