Consensus of Multi-Agents With Event-Based Nonlinear Coupling Over Time-Varying Digraphs

This brief addresses the consensus problem of a group of agents coupled via nonlinear locally passive functions over a time-varying network. A consensus protocol is designed which is solely dependent on an agent's own instantaneous state and the states broadcasted from its neighbors. A time-dep...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2018-12, Vol.65 (12), p.1969-1973
Main Authors: Jia, Qiang, Tang, Wallace K. S.
Format: Article
Language:English
Subjects:
Blinking
Consensus
Coupling
Couplings
event-triggered control
Graph theory
Laplace equations
multi-agent system
Multi-agent systems
Network topology
nonlinear coupling
Protocols
Switching theory
Time dependence
time-varying networks
Time-varying systems
Topology
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Summary:This brief addresses the consensus problem of a group of agents coupled via nonlinear locally passive functions over a time-varying network. A consensus protocol is designed which is solely dependent on an agent's own instantaneous state and the states broadcasted from its neighbors. A time-dependent triggering condition is defined to govern the broadcasting of one's state to all its neighbors. Information exchange only occurs when the triggering condition is met, as a result, communication overhead can be greatly reduced. It is mathematically proved that consensus is reachable and Zeno behavior is excluded if the union of the underlying graphs over any time interval of certain length admits a directed spanning tree. The proposal is applicable for various kinds of networks, such as continuously time-varying network, switching network, blinking network, and its effectiveness is confirmed with numerical examples.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2018.2790582