Static Consensus in Passifiable Linear Networks

Static Consensus in Passifiable Linear Networks

Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurface...

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Main Author: Ibragim A. Junussov
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/9192127
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spelling doaj-a947a49f1ba34e24b5759ee3dd6d49162020-11-25T00:06:42ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/91921279192127Static Consensus in Passifiable Linear NetworksIbragim A. Junussov0Department of Control Engineering, Czech Technical University in Prague, Karlovo namesti 13, 121 35 Praha 2, Czech RepublicSufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented.http://dx.doi.org/10.1155/2016/9192127
collection DOAJ
language English
format Article
sources DOAJ
author Ibragim A. Junussov
spellingShingle Ibragim A. Junussov
Static Consensus in Passifiable Linear Networks
International Journal of Differential Equations
author_facet Ibragim A. Junussov
author_sort Ibragim A. Junussov
title Static Consensus in Passifiable Linear Networks
title_short Static Consensus in Passifiable Linear Networks
title_full Static Consensus in Passifiable Linear Networks
title_fullStr Static Consensus in Passifiable Linear Networks
title_full_unstemmed Static Consensus in Passifiable Linear Networks
title_sort static consensus in passifiable linear networks
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2016-01-01
description Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented.
url http://dx.doi.org/10.1155/2016/9192127
work_keys_str_mv AT ibragimajunussov staticconsensusinpassifiablelinearnetworks
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