Robust H∞ synchronisation for a class of complex dynamical networks with time-varying delay
Haiqing Zheng, Xiaoyun Sun · International Journal of Modelling Identification and Control · 2012
This paper deals with the problem of robust H ∞ synchronisation for a class of complex dynamical networks with time-varying delay. Each node of the network is a general Lur’e system subject to an energy bounded input noise. A synchronisation criterion formulated in the form of linear matrix inequalities (LMIs) is obtained under which the controlled network can be robustly stabilised onto an expected homogeneous state with a guaranteed performance. The controller designed can be constructed via feasible solutions of LMIs. Finally, a dynamical network composed of identical Chua’s oscillators is adopted as a numerical example to demonstrate the effectiveness of the proposed results.