Leader–follower synchronization of heterogeneous dynamical networks with unknown parameters

This paper studies leader–follower synchronization of a class of heterogeneous dynamical networks with unknown system parameters. Aiming at various unknown parameters, we design the corresponding adaptive controllers and updating laws, respectively. Based on Lyapunov stability theorem, network synchronization criteria are given to guarantee the effectiveness of our adaptive synchronization approaches. Finally, numeral examples, realizing network synchronization in a complex dynamical network including Lorenz system, Chen system and Rössler system with a modified Chua’s circuit, are given to verify the correctness of our main results.