Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.

The generalized Nyquist criterion is used to derive necessary and sufficient consensus conditions for large high-order linear multi-agent systems (MAS) with heterogeneous communication delays. The new consensus conditions are set-valued graphical conditions, from which inequality conditions are deri...

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Main Authors: Münz, U, Papachristodoulou, A, Allgöwer, F
Format: Conference item
Published: IEEE 2009
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author Münz, U
Papachristodoulou, A
Allgöwer, F
author_facet Münz, U
Papachristodoulou, A
Allgöwer, F
author_sort Münz, U
collection OXFORD
description The generalized Nyquist criterion is used to derive necessary and sufficient consensus conditions for large high-order linear multi-agent systems (MAS) with heterogeneous communication delays. The new consensus conditions are set-valued graphical conditions, from which inequality conditions are derived for single integrator MAS. The obtained conditions provide a unification and generalization of several results from the literature. Moreover, convergence rate conditions for single integrator MAS with delays are derived. ©2009 IEEE.
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spelling oxford-uuid:2a46a1eb-0409-4b77-8c31-46316e87903e2022-03-26T12:24:04ZGeneralized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.Conference itemhttp://purl.org/coar/resource_type/c_5794uuid:2a46a1eb-0409-4b77-8c31-46316e87903eSymplectic Elements at OxfordIEEE2009Münz, UPapachristodoulou, AAllgöwer, FThe generalized Nyquist criterion is used to derive necessary and sufficient consensus conditions for large high-order linear multi-agent systems (MAS) with heterogeneous communication delays. The new consensus conditions are set-valued graphical conditions, from which inequality conditions are derived for single integrator MAS. The obtained conditions provide a unification and generalization of several results from the literature. Moreover, convergence rate conditions for single integrator MAS with delays are derived. ©2009 IEEE.
spellingShingle Münz, U
Papachristodoulou, A
Allgöwer, F
Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.
title Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.
title_full Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.
title_fullStr Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.
title_full_unstemmed Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.
title_short Generalized Nyquist consensus condition for high-order linear multi-agent systems with communication delays.
title_sort generalized nyquist consensus condition for high order linear multi agent systems with communication delays
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AT papachristodouloua generalizednyquistconsensusconditionforhighorderlinearmultiagentsystemswithcommunicationdelays
AT allgowerf generalizednyquistconsensusconditionforhighorderlinearmultiagentsystemswithcommunicationdelays