Robust Synchronization in Multi-Agent Networks With Unstable Dynamics

The problem of synchronization in heterogenous linear time-invariant networks is investigated. An approach blending the theory of integral quadratic constraints (IQCs) with the gap metric is proposed to study the problem within a unifying framework, where both the agents and communication channels c...

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Bibliographic Details
Published inIEEE transactions on control of network systems Vol. 5; no. 1; pp. 205 - 214
Main Authors Sei Zhen Khong, Lovisari, Enrico, Chung-Yao Kao
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2018
Subjects
Consensus
integral quadratic constraints
Linear systems
multi-agent networks
Power system dynamics
Robustness
Synchronization
Transfer functions
Uncertainty
unstable dynamics
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Summary:The problem of synchronization in heterogenous linear time-invariant networks is investigated. An approach blending the theory of integral quadratic constraints (IQCs) with the gap metric is proposed to study the problem within a unifying framework, where both the agents and communication channels can be dynamic, infinite-dimensional, unstable, and uncertain. Structural properties of the uncertainty are described by IQCs and exploited in the analysis to reduce conservatism. The homotopy employed in IQC analysis is defined with respect to the graph topology induced by the gap metric, whereby open-loop unstable dynamics are accommodated. Sufficient conditions for synchronism are provided, extending recent developments which have been shown to unify several existing synchronization analysis results in the literature.
ISSN:2325-5870
2325-5870
2372-2533
DOI:10.1109/TCNS.2016.2594482