Sandwich synchronization of memristor-based hyperchaos systems with time delays

Advances in Difference Equations

Yuming Feng¹  Jiang Xiong¹  Hongjuan Wu¹  Xiang Hu¹  Liangliang Li² 

[1] School of Computer Science and Engineering, Chongqing Three Gorges University;School of Mathematics and Statistics, Chongqing Three Gorges University;

关键词: memristor-based;    hyperchaotic system;    time delays;    synchronization;    sandwich control;   

DOI  :  10.1186/s13662-017-1451-4

来源: DOAJ

【 摘 要 】

Abstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synchronization, this paper designs one kind of flexible sandwich controller, which includes a rest in the sandwich structure, to realize the synchronization between two memristor-based hyperchaotic systems. Based on Lyapunov stability theory, matrix inequality, sandwich control and considering time delays, the exponential synchronization conditions for the memristor-based hyperchaotic systems with time delays via sandwich control are given. Finally, simulation results are displayed to verify the effectiveness and feasibility of this method.

【 授权许可】

Unknown