NDLI: Robust synchronization of Lur'e networks with incremental nonlinearities

Content Provider	IEEE Xplore Digital Library
Author	Fan Zhang Trentelman, H.L. Scherpen, J.M.A.
Copyright Year	2013
Description	Author affiliation: Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands (Trentelman, H.L.) \|\| Res. Inst. of Technol. & Manage., Univ. of Groningen, Groningen, Netherlands (Fan Zhang; Scherpen, J.M.A.)
Abstract	This paper deals with robust synchronization problems for networks of diffusively interconnected identical Lur'e systems subject to incrementally passive nonlinearities and incrementally sector bounded nonlinearities, respectively. Whereas in stabilization of one single Lur'e system the conditions of passivity and sector boundedness for the nonlinear feedback loop are commonly assumed, in our context of networked Lur'e systems we adopt the stronger assumptions of incremental passivity and incremental sector boundedness. Throughout this paper the interconnection topologies among these Lur'e systems are assumed to be undirected and connected. The conventional a priori assumption on the existence of a synchronization manifold is not employed in this paper. Both for the case of incrementally passive as well as incrementally sector bounded nonlinearities we obtain necessary and sufficient conditions for the existence of the sufficient distributed robustly synchronizing protocols. The static feedback gains are computed by solving LMI's in terms of the matrices defining the individual agent dynamics.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	3439
Ending Page	3444
File Size	295545
Page Count	6
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6760410
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Synchronization Robustness Protocols Manifolds Matrix decomposition State feedback Network topology
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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