Adaptive synchronisation for a class of output-coupling complex networks with output feedback nodes

This study investigates the synchronisation problem of a class of output-coupling complex networks whose nodes are in the output feedback form and contain unknown non-linear functions. To tackle the unknown parameters in the non-linear nodes, adaptive dynamic output feedback controllers are designed. By employing the linear matrix inequality technique, several sufficient conditions are derived to ensure the global asymptotic synchronisation for the resulting closed-loop systems. An illustrative numerical example is given to show the effectiveness of the main results.