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Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems

Cui-Qin Ma, Ji-Feng Zhang·2010·IEEE Transactions on Automatic Control

Abstract

Consensusability of multi-agent systems (MASs) is a fundamental problem in the MAS research area, since when starting to design a consensus protocol, one should know whether or not there exists such a protocol that has the ability to make the MAS involved consensus. This technical note is aimed at studying the joint impact of the agent dynamic structure and the communication topology on consensusability. For the MASs with fixed topology and agents described by linear time-invariant systems, a necessary condition of consensusability with respect to a set of admissible consensus protocols is given, which is shown, under some mild conditions, to be necessary and sufficient.

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Metadata

Authors
Ma, C.-Q., & Zhang, J.-F.
Venue
IEEE Transactions on Automatic Control
Published
2010-05
Volume
55
Issue
5
Pages
1263-1268
ISSN
  • 0018-9286 (ISSN-L)
  • 1558-2523
OpenAlex
W2103759346
Cited by
752
References
1
FWCI
53.83
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems. https://app.cochat.ai/papers/10.1109/tac.2010.2042764
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Ma, C.-Q., & Zhang, J.-F. (2010). Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2010.2042764

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