Stability of a circular system with multiple asymmetric Laplacians

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F15%3A00232500" target="_blank" >RIV/68407700:21230/15:00232500 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ifacol.2015.10.324" target="_blank" >http://dx.doi.org/10.1016/j.ifacol.2015.10.324</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ifacol.2015.10.324" target="_blank" >10.1016/j.ifacol.2015.10.324</a>

Result language
angličtina
Original language name
Stability of a circular system with multiple asymmetric Laplacians
Original language description
We consider an asymptotic stability of a circular system where the coupling Laplacians are different for each state used for synchronization. It is shown that there must be a symmetric coupling in the output state to guarantee the stability for agents with two integrators in the open loop. Systems with agents having three or more integrators cannot be stabilized by any coupling. In addition, recent works in analysis of a scaling in vehicular platoons relate the asymptotic stability of a circular systemto a string stability. Therefore, as confirmed by simulations in the paper, our results have an application also in path graphs.
Czech name
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Czech description
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Project
<a href="/en/project/GA13-06894S" target="_blank" >GA13-06894S: Semidefinite programming for polynomial optimal control problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Preprints of the 5th IFAC Workshop on Distributed Estimation and Control in Networked Systems
ISBN
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ISSN
1474-6670
e-ISSN
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Number of pages
6
Pages from-to
162-167
Publisher name
IFAC
Place of publication
Laxenburg
Event location
Philadelphia
Event date
Sep 10, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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