DocumentCode
74922
Title
Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks
Author
Proskurnikov, Anton ; Matveev, Alexey
Author_Institution
Inst. of Technol. & Manage., Univ. of Groningen, Groningen, Netherlands
Volume
45
Issue
8
fYear
2015
fDate
Aug. 2015
Firstpage
1537
Lastpage
1548
Abstract
This paper addresses consensus problems in nonlinearly coupled networks of dynamic agents described by a common and arbitrary linear model. Interagent interaction rules are uncertain but satisfy the standard sector condition with known sector bounds; both the agent´s model and interaction topology are time-invariant. A novel frequency-domain criterion for consensus is offered that is similar to and extends the classical Popov´s absolute stability criterion.
Keywords
complex networks; multi-agent systems; network theory (graphs); Popov absolute stability criterion; agent interaction topology; dynamic agents; frequency-domain criterion; interagent interaction rules; linear model; nonlinearly coupled networks; Couplings; Network topology; Protocols; Robustness; Stability criteria; Topology; Complex networks; consensus; multiagent systems; nonlinear network analysis; synchronization;
fLanguage
English
Journal_Title
Cybernetics, IEEE Transactions on
Publisher
ieee
ISSN
2168-2267
Type
jour
DOI
10.1109/TCYB.2014.2354519
Filename
6901282
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