Abstract The output synchronization was investigated for a kind of time-varying complex dynamical networks with uncertain nonlinear functions and different dimensional nodes by the method of decentralized output feedback control. The inevitable uncertain nonlinear function in each node was considered into our network model, which is different from other network models in the existing literature on the output synchronization. Besides, in our network model, the outer coupling matrix was allowed to be time-varying, non-zero row sum, uncertain and asymmetric. Thus, the network model can better describe the actual networks. The definition of the asymptotic output synchronization was introduced for our network. In addition, to realize the output synchronization of our network, a decentralized output feedback control strategy was proposed and the correctness of the strategy was strictly proved by the Lyapunov stability theory and Barbalat's lemma. Finally, the effectiveness of the theoretical result was verified by numerical simulations.
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