Control and synchronization of chaos in RCL-shunted Josephson junctions

This paper is concerned with the problem of master-slave synchronization for RCL-shunted Josephson junctions using feedback control. Based on the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich- Popov (KYP) lemma, some new chaos synchronization criteria are obtained in the form of linear matrix inequalities(LMIs) which guarantees the stable synchronization of both master and slave RCL-shunted Josephson junctions. Finally, simulation results verified the applicability and validity of the proposed method.