Abstract

The problem of hybrid function projective synchronization behavior in discrete complex dynamical networks with delay coupling is investigated in this paper. Sufficient conditions are derived to guarantee the realization of the hybrid function projective synchronization with different nodes and different dimension based on Lyapunov stability theory and adaptive control schema. In addition, the adaptive control gains are designed. Furthermore, different cases of topological structure of nodes are considered. Finally, numerical examples demonstrate the effectiveness of the proposed method.

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