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

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 s...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2010-05, Vol.55 (5), p.1263-1268
Main Authors: MA, Cui-Qin, ZHANG, Ji-Feng
Format: Article
Language:English
Subjects:
Agents (artificial intelligence)
Applied sciences
Artificial intelligence
Automatic control
Communication system control
Computer science
control theory
systems
Computer systems and distributed systems. User interface
consensus protocol
Consensusability
consensusability condition
Control system analysis
Control systems
Control theory. Systems
Design engineering
Dynamic structural analysis
Dynamical systems
Dynamics
Exact sciences and technology
Expert systems
Laboratories
Laplace equations
linear time-invariant (LTI) system
multi-agent system (MAS)
Multiagent systems
Network topology
Output feedback
Protocols
Software
Sufficient conditions
Topology
Weight control
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2010.2042764