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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