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MASTER–SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS WITH GENERAL SECTOR-BOUNDED NONLINEARITIES

Centre for Intelligent and Networked Systems, School of Computing Sciences, Central Queensland University, Rockhampton Qld 4702, Australia

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DRISS MEHDI

LAII-ESIP, 40, Av. du Recteur Pineau, 86022 Poitiers, France

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DONGSHENG HAN

Centre for Intelligent and Networked Systems, School of Computing Sciences, Central Queensland University, Rockhampton Qld 4702, Australia

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https://doi.org/10.1142/S0218127409023160Cited by:7 (Source: Crossref)

Abstract

This paper deals with master–slave synchronization for Lur'e systems subject to a more general sector condition by using time delay feedback control. A new Lyapunov–Krasovskii functional and a new Lur'e–Postnikov Lyapunov functional are proposed to obtain some new delay-dependent synchronization criteria, which are formulated in the form of linear matrix inequalities (LMIs). These criteria cover some existing results as their special cases. An example shows that the result derived in this paper significantly improves some existing ones.

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