This paper deals with the synchronization of a chain of nonlinear and uncertain models of
nonidentical oscillators. Using Lyapunov's theory of stability, a dynamical controller
guaranteeing the synchronization of the oscillators is determined. The problem of
synchronization is transformed into a problem of asymptotic stabilization for a nonlinear
system and then is formulated as a system of linear matrix inequalities where the parameter
variations of the two oscillators and their differences are modeled by polytopic matrices. The …

This paper treats the synchronization of a chain of non linear and uncertain model of non
identical oscillators. Using the Lyapunov theory of stability, a dynamical controller
guarantying the oscillators synchronization is determined. The problem of synchronization is
transformed in a problem of asymptotic stabilization for a nonlinear system and then is
formulated as a system of linear matrix inequalities where the parameter variations of the
two oscillators and their differences are modeled by polytopic matrices. The theoretical result …