Output synchronization and H_∞ output synchronization of complex dynamical networks with multiple derivative couplings

Two types of network models with multiple derivative couplings are investigated in this paper. On one hand, by using matrix theory, Lyapunov functional method and some inequality techniques, several output synchronization conditions for complex dynamical networks with multiple derivative couplings (CDNMDC) are given. Moreover, a adaptive controller is also designed for ensuring the output synchronization of CDNMDC. In addition, we study the H_∞ output synchronization of these network models, and some sufficient conditions for guaranteeing H_∞ output synchronization of the network models are obtained by employing adaptive control strategy. Eventually, two examples are presented to demonstrate the effectiveness of the derived results.