An adaptive decentralized synchronization of master–slave large-scale systems with unknown signal propagation delays

This paper addresses a practical issue in the adaptive decentralized synchronization of master–slave large-scale time-varying delayed systems with unknown signal propagation delays. Based on the Lyapunov stability theorem, an adaptive controller, which is both memoryless and decentralized, is proposed to synchronize the master–slave large-scale time delayed systems without the knowledge of upper bounds of perturbation and propagation delay. The main difficulty for handling the effects of interconnected terms is also well solved by a new proposed adaptation mechanism. Finally, a numerical example is given to demonstrate the validity of the derived controller.