Robust H_∞ synchronisation for a class of complex dynamical networks with time-varying delay
by Haiqing Zheng; Xiaoyun Sun
International Journal of Modelling, Identification and Control (IJMIC), Vol. 16, No. 3, 2012

Abstract: 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.

Online publication date: Wed, 17-Dec-2014

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