Distributed control of cluster synchronisation in networks with randomly occurring non-linearities
Aihua Hu, Jinde Cao, Manfeng Hu, Liuxiao Guo · International Journal of Systems Science · 2015
This paper is concerned with the issue of mean square cluster synchronisation in complex networks, which consist of non-identical nodes with randomly occurring non-linearities. In order to guarantee synchronisation, distributed controllers depending on the information from the neighbours in the same cluster are applied to each node, meanwhile, the control gains are supposed to be updated according to the given laws. Based on the Lyapunov stability theory, the sufficient synchronisation conditions are derived and proved theoretically. Finally, a numerical example is presented to demonstrate the effectiveness of the results.