Finite-time passivity and synchronisation of complex networks with multiple output couplings

In this paper, we, respectively, discuss the finite-time passivity (FTP) and finite-time synchronisation (FTS) of multi-output coupled complex networks (MOCCNs) under directed topology and undirected topology. Firstly, through designing an appropriate state feedback controller and adaptive state feedback controller, using some inequality techniques, we investigate the FTP of MOCCNs. Furthermore, we study the relationship between the FTP and FTS of the MOCCNs, and establish the sufficient conditions to ensure that MOCCNs can realise FTS based on the result we get about FTP. Lastly, we verify the proposed FTP and FTS criteria using two numerical examples.