Consensus Problem in High-Order Multiagent Systems With Lipschitz Nonlinearities and Jointly Connected Topologies

The leaderless consensus problem in a class of high-order multiagent systems with Lipschitz nonlinearities is studied in this paper. Despite existing leaderless consensus protocols devoted to high-order multiagent systems with Lipschitz nonlinearities, the proposed protocol in this paper guarantees...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2017-05, Vol.47 (5), p.741-748
Main Authors: Rezaee, Hamed, Abdollahi, Farzaneh
Format: Article
Language:English
Subjects:
Distributed processing
Eigenvalues and eigenfunctions
Fault tolerance
General linear
high-order
jointly connected
Lipschitz nonlinearity
Mathematical models
Multi-agent systems
Multiagent systems
Network topology
Oscillators
Protocol
Protocols
Switches
Switching theory
switching topology
Symmetric matrices
Topology
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Summary:The leaderless consensus problem in a class of high-order multiagent systems with Lipschitz nonlinearities is studied in this paper. Despite existing leaderless consensus protocols devoted to high-order multiagent systems with Lipschitz nonlinearities, the proposed protocol in this paper guarantees achieving consensus in networks of agents with jointly connected topologies. To achieve this goal, first a consensus protocol for high-order multiagent systems with general linear models is proposed. By introducing a common Lyapunov candidate for the set of switching topologies and based on the Cauchy convergence criterion, achieving consensus under the proposed protocol is studied. Then, sufficient conditions are derived under which the results are extended to the case of Lipschitz nonlinearities in agents models. Numerical examples validate the proposed consensus protocol.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2017.2654366