Finite-time chaos synchronization of the delay hyperchaotic Lü system with disturbance

Abstract

School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, China (Received January 04 2019, accepted May 29 2019) In \u00a0this \u00a0paper, \u00a0the \u00a0dynamics \u00a0and \u00a0the \u00a0finite-time \u00a0synchronization \u00a0of \u00a0the \u00a0delay \u00a0hyperchaotic \u00a0L\u00fc system with disturbance are discussed. Based on the finite-time stability theory, a control law is put forward to realize \u00a0finite-time \u00a0chaos \u00a0synchronization \u00a0of \u00a0the \u00a0delay \u00a0hyperchaotic \u00a0L\u00fc \u00a0system \u00a0with \u00a0disturbance. \u00a0Finally, numerical \u00a0simulation \u00a0results \u00a0are \u00a0provided \u00a0to \u00a0demonstrate \u00a0the \u00a0effectiveness \u00a0and \u00a0robustness \u00a0of \u00a0the \u00a0proposed scheme. \u00a0