Synchronization in arrays of coupled nonlinear systems: Passivity circle criterion and observer design

It has been shown that synchronization between two nonlinear systems can be studied as a control theory problem. We show that this relationship can be extended to synchronization in coupled arrays of nonlinear systems. In particular, we extend several stability conditions to synchronization criteria in arbitrarily coupled arrays: the passivity criterion, the circle criterion and a result on observer design of Lipschitz nonlinear systems. © 2001 IEEE.