Finite-time passivity and synchronisation of complex networks with multiple output couplings. Issue 6 (3rd June 2023)

• Record Type: Journal Article
• Authors: Liu, Ye-Peng; Zhao, Lin-Hao; Shi, Yi-Wei; Ren, Shun-Yan; Wang, Jin-Liang
• Is Part Of: International journal of control. Volume 96:Issue 6(2023)
• Page Start: 1470
• Page End: 1490
• Publication Date: 2023-06-03
• Subjects: Multiple output couplings -- finite-time synchronisation -- finite-time passivity -- complex networks; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2022.2053208
• Languages: English
• ISSNs: 0020-7179

Abstract

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.