Adaptive pinning synchronization of complex networks based on output feedback control

In this paper, a kind of output feedback adaptive pinning controller is designed for the synchronization of state-coupling and output-coupling complex dynamical networks, where some states are immeasurable. The adaptive coefficients are related to the property of controlled nodes, different from the past researches in which they were simply set as constants. Based on Lyapunov stability theory, synchronization criteria are proposed to ensure the networks can achieve synchronization. The derived conclusions can also be used to estimate the minimum number of pinned nodes. Finally, the numeric simulations of a typical network are employed to verify the effectiveness of the conclusions.