Abstract The problem of asymptotic generalized synchronization is investigated for a type of multi-linked networks with different dimensional partial similar nodes, uncertain structures, uncertain disturbance and time-varying delays via the decentralized delaydependent control method. For the case that the outer coupling link weight in the network is uncertain and its bound is also unknown in advance, decentralized delay-dependent controllers and parameter update laws are designed to realize the asymptotic generalized synchronization of our multi-linked networks. The correctness of the proposed decentralized delay-dependent control strategy is proved by the Lyapunov stability theory and the Barbalats lemma. Finally, a numerical example is provided to illustrate the effectiveness and correctness of the proposed theoretical result.
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