In this paper we introduce the concept of an adaptive synchronization controller. Synchronization is modelled as an adaptive tracking problem for families of interconnected linear systems. Stabilization and tracking results are obtained for minimum phase systems.
The purpose of this paper is twofold: first, to present universal adaptive stabilizers for large classes of one-dimensional nonlinear systems, and second, to derive results on the decay rate of the closed loop solutions, which for linear systems turns out to be exponential in the generic case.