STUDIES OF SYNCHRONIZATION IN NONLINEAR SYSTEMS USING THE GRONWALL INEQUALITY

— The asymptotic behavior of a class of nonlinear coupled dynamical systems is studied in the present paper. Conditions of the coupling parameters guarantee synchronization between these systems are provided for every situation starting in a positively invariant region of initial conditions. This results guarantees synchronization even so the systems are unstable or do not have global dissipativeness. Synchronization of two coupled nonlinear pendulums that represent two-generators in a simple electrical power system is proved in the proposed theory.