Partial Synchronization of Lur'e Type Nonlinear Systems with Delay Couplings*

This paper discusses synchronization problems in networks of chaotic systems with delayed couplings. We have already proposed an estimation method of the full synchronization region concerning the coupling strength and the time-delay for coupled Lur'e systems with general network structures. The proposed method is based on the eigenvalues of the corresponding graph Laplacian and the synchronization condition can be obtained by scaling the synchronization condition for two mutual coupled systems with respect to the coupling strength. In this paper, we attempt to develop a theoretical estimation method for partial synchronization conditions for nonlinear systems with delayed couplings by extending the estimation method.