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

Abstract

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.

Keywords:

• Multiple output couplings
• finite-time synchronisation
• finite-time passivity
• complex networks

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 62173244], and in part by the Natural Science Foundation of Tianjin, China [grant number 19JCYBJC18700].