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Convergence and synchronization in heterogeneous networks of smooth and piecewise smooth systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy.
2015 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 56, 1-11 p.Article in journal (Refereed) Published
Abstract [en]

This paper presents a framework for the study of convergence in networks where the nodes’ dynamics may be both piecewise smooth and/or nonidentical. Sufficient conditions are derived for global convergence of all node trajectories towards the same bounded region in the synchronization error space. The analysis is based on the use of set-valued Lyapunov functions and bounds are derived on the minimum coupling strength required to make all nodes in the network converge towards each other. We also provide an estimate of the asymptotic bound on the mismatch between the node state trajectories. The analysis is performed both for linear and nonlinear coupling protocols. The theoretical analysis is extensively illustrated and validated via its application to a set of representative numerical examples.

Place, publisher, year, edition, pages
2015. Vol. 56, 1-11 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-174688DOI: 10.1016/j.automatica.2015.03.003ISI: 000355047000001Scopus ID: 2-s2.0-84929401455OAI: oai:DiVA.org:kth-174688DiVA: diva2:869125
Note

QC 20151113

Available from: 2015-11-13 Created: 2015-10-07 Last updated: 2017-12-01Bibliographically approved

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