Adaptive synchronization of fractional-order Lorenz systems with memristor

Abstract

In \u00a0this \u00a0paper, \u00a0adaptive \u00a0synchronization \u00a0of \u00a0fractional-order \u00a0Lorenz \u00a0systems \u00a0with \u00a0memristor \u00a0is investigated. \u00a0Based \u00a0on \u00a0the \u00a0Lyapunov \u00a0stability \u00a0theories, \u00a0several \u00a0novel \u00a0criteria \u00a0are \u00a0adopted \u00a0to \u00a0realize \u00a0the synchronization \u00a0of \u00a0fractional-order \u00a0Lorenz \u00a0systems \u00a0with \u00a0memristor. \u00a0Finally, \u00a0some \u00a0numerical \u00a0examples \u00a0are exploited to demonstrate the theoretical results.