Title: Robust H∞ synchronisation for a class of complex dynamical networks with time-varying delay
Authors: Haiqing Zheng; Xiaoyun Sun
Addresses: School of Electrical and Electronics Engineering, Shijiazhuang Tiedao University, Shijiazhuang, Hebei, 050043, China. ' School of Electrical and Electronics Engineering, Shijiazhuang Tiedao University, Shijiazhuang, Hebei, 050043, China
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.
Keywords: complex dynamical networks; Lur'e system; robust H-infinity; H-infinity synchronisation; time-varying delay; linear matrix inequalities; LMIs; controller design.
DOI: 10.1504/IJMIC.2012.047729
International Journal of Modelling, Identification and Control, 2012 Vol.16 No.3, pp.212 - 220
Published online: 17 Dec 2014 *
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