Open AccessPinning control of complex networks with time-varying inner and outer coupling
Author(s) -
Hai Lin,
Jingcheng Wang
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021172
Subject(s) - coupling (piping) , synchronization (alternating current) , coupling strength , complex network , control theory (sociology) , nonlinear system , computer science , state (computer science) , node (physics) , topology (electrical circuits) , adaptive control , state space , control (management) , mathematics , engineering , physics , algorithm , artificial intelligence , mechanical engineering , statistics , structural engineering , combinatorics , quantum mechanics , world wide web , condensed matter physics
This paper addresses the pinning synchronization of nonlinear multiple time-varying coupling complex networks. Time-varying inner coupling in the single node state space and time-varying outer coupling among nodes in an entire complex network are taken into consideration. The main contribution is to propose some pinning synchronization criterion by which time-varying complex networks can be synchronized to the desired state. Besides, different parameters of linear controllers, adaptive controllers and adaptive coupling strength on the synchronization have been investigated. It is found that complex networks can achieve global synchronization by adaptively adjusting the coupling strength or controllers. Finally, simulation examples of random networks are given to verify the theoretical results.