Synchronisation for multi‐network with two types of inter‐network coupling faults: pinning control effects. Issue 11 (16th June 2020)

• Record Type: Journal Article
• Authors: Ren, Tao; Sun, Shixiang; YanJie, Xu; Zhe, Li; Wang, Ranran; Cheng, Xiaoyan; Dimirovski, Georgi Marko
• Is Part Of: IET control theory & applications. Volume 14:Issue 11(2020)
• Page Start: 1497
• Page End: 1507
• Publication Date: 2020-06-16
• Subjects: stability -- synchronisation -- complex networks -- Lyapunov methods -- control system synthesis -- network theory (graphs) -- graph theory -- matrix algebra; inter‐network coupling faults -- permanent faults -- recoverable faults -- coupled nodes -- multinetwork structure -- coupling terms -- network synchronisation -- coupled networks -- dimension‐transformation matrix -- synchronisation controller design -- sufficient stability condition -- Lyapunov stability theory -- complex nonlinear dynamics -- computer simulation -- numerical case study -- random pinning -- pinning control effects; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2019.0842
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : Investigation of simultaneous occurrence of permanent and/or recoverable faults of coupled nodes within different networks in a larger network structure is an appealing timely research topic. For the modelling of such a multi‐network structure, the coupling terms in the same network and the coupling terms among different networks are described separately in order to explain clearly the multi‐network feature here. The dimension‐transformation matrix is used to deal with the mismatched dimensions of nodes in the different networks. Then a synchronisation controller is designed from the underlying theory of pinning control schemes. Furthermore, following the ideas of Lyapunov stability theory, a sufficient stability condition under the pinning control is derived which guarantees nodes in the same network synchronisation. Computer simulation results for a numerical case study of three coupled networks with nodes that possess rather complex non‐linear dynamics demonstrate that the proposed controllers can enforce synchronisation despite different types of faults being occurred in the multi‐network. It is also shown that the specific pinning control scheme is more effective than the random pinning.