Novel Master-Slave Synchronization Conditions for Chaotic Fractional-Order Lur’e Systems Based on Small Gain Theorem

The master-slave synchronization problem for chaotic fractional-order (FO) Lur'e systems is investigated in this brief. Firstly, order-dependent stability criteria for FO Lur'e systems are established using small gain theorem and the results are transformed into linear matrix inequalities (LMIs). Then, by employing the derived results, linear output feedback controllers that asymptotically synchronize chaotic FO Lur'e systems can be obtained. Finally, numerical examples are provided to illustrate that the proposed results are valid and less conservative than existing ones.