Output synchronization control for a class of complex dynamical networks with non-identical dynamics

This paper is concerned with the output synchronization control problem for a class of complex dynamical networks (CDNs) with non-identical dynamics. An output feedback control protocol consisting of a feedforward control law and a feedback control law is developed to achieve the output synchronization. More specifically, the feedforward control law is designed to compensate the coupling dynamics of the CDNs, and the feedback control law is designed by solving an algebraic Riccati equation (ARE), which is established by defining a modified quadratic performance index. It is shown that the output feedback control protocol solves the output synchronization control problem, and the graph theory is used to construct a global Lyapunov function, based on which a rigorous asymptotic convergence analysis of output synchronization errors is conducted. Finally, a simulation example is given to verify the effectiveness of the theoretical results.