Generalized Synchronization of Drive-Response Complex Networks with Different Time-varying Delay Couplings

This study addresses the issue of generalized synchronization in a specific category of drive-response complex networks characterized by different time-varying delay couplings. Utilizing LaSalle's invariance principle along with Lyapunov stability theory, under the assumption that the topological configurations of the systems are identified, the study demonstrates that generalized synchronization can be achieved. This is accomplished through the design of a proper nonlinear adaptive controller and the construction of an appropriate Lyapunov function.