Synchronization and adaptive synchronization of nuclear spin generator system

This study addresses the synchronization and adaptive synchronization problems of nuclear spin generator (NSG) systems with unknown system parameters. We show that the NSG system can be synchronized by using drive-response systems. Adaptive control law is applied to achieve the state synchronization of two identical NSG systems. Lyapunov direct method of stability is used to prove the asymptotic stability of solutions for the error dynamical system. Numerical simulation is used to show the effectiveness of the proposed control schemes.