Robust adaptive synchronisation of complex networks with multiple coupling time-varying delays
Ping He, Chun Guo Jing, Tao Fan, Chang Zhong Chen · International Journal of Automation and Control · 2013
The synchronisation problem of complex networks with multiple coupled time-varying delays is investigated in this paper. By using Lyapunov stability theory and robust adaptive principle, several synchronisation criteria are deduced for both complex networks with and without norm uncertainties. The main results show that the states of all nodes of complex networks globally asymptotically synchronise to a desired synchronisation state by designing suitable robust adaptive synchronisation controllers which have strong robustness against the uncertainties in coupling matrices. Finally, several illustrative examples with numerical simulations are given to show the feasibility and robustness of theoretical results.