Finite-time chaos synchronization of the delay Lorenz system with disturbance via a single controller

Abstract

This \u00a0paper \u00a0deals \u00a0with \u00a0the \u00a0finite-time \u00a0chaos \u00a0synchronization \u00a0of \u00a0the \u00a0delay \u00a0Lorenz \u00a0system \u00a0with disturbance \u00a0via \u00a0a \u00a0single \u00a0controller. \u00a0Based \u00a0on \u00a0the \u00a0finite-time \u00a0stability \u00a0theory, \u00a0a \u00a0control \u00a0law \u00a0is \u00a0proposed \u00a0to realize \u00a0finite-time \u00a0chaos \u00a0synchronization \u00a0of \u00a0delay \u00a0Lorenz \u00a0system \u00a0with \u00a0disturbance. \u00a0Finally, \u00a0numerical simulation results are given to demonstrate the effectiveness and robustness of the proposed scheme.