Leaderless and Leader-Following Consensus With Communication and Input Delays Under a Directed Network Topology

Leaderless and Leader-Following Consensus With Communication and Input Delays Under a Directed Network Topology

In this paper, time-domain (Lyapunov theorems) and frequency-domain (the Nyquist stability criterion) approaches are used to study leaderless and leader-following consensus algorithms with communication and input delays under a directed network topology. We consider both the first-order and second-o...

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Veröffentlicht in:IEEE transactions on cybernetics 2011-02, Vol.41 (1), p.75-88
Hauptverfasser: Meng, Ziyang, Ren, Wei, Cao, Yongcan, You, Zheng
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Communication and input delays
Complex networks
Computer simulation
consensus tracking
Control systems
Criteria
Cybernetics
Delay
Delay estimation
directed network graph
Engineering profession
Frequency domain analysis
leaderless consensus
multiagent system
Multiagent systems
Network topology
Networks
Robustness
Stability
Stability criteria
Time domain analysis
Topology
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Beschreibung
Zusammenfassung:In this paper, time-domain (Lyapunov theorems) and frequency-domain (the Nyquist stability criterion) approaches are used to study leaderless and leader-following consensus algorithms with communication and input delays under a directed network topology. We consider both the first-order and second-order cases and present stability or boundedness conditions. Several interesting phenomena are analyzed and explained. Simulation results are presented to support the theoretical results.
ISSN:1083-4419
2168-2267
1941-0492
2168-2275
DOI:10.1109/TSMCB.2010.2045891