Observer-based synchronization of networked distributed parameter systems

Synchronization in networks of dynamical systems is of importance in biological, chemical, physical and social systems. This paper investigates an observer-based synchronization scheme for a class of networked distributed parameter systems under an abstract framework. As in reality the system states may not be available and different subsystems (agents) share information through a communication network, we estimate the states based on a distributed observer in the case of partial network connectivity. Then a synchronizing controller combining a state feedback is constructed and the well-posedness of the closed-loop system is examined. Numerical simulations are provided to illustrate the effectiveness of the proposed results.