期刊
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
卷 5, 期 1, 页码 205-214出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2016.2594482
关键词
Consensus; integral quadratic constraints; multi-agent networks; synchronization; uncertainty; unstable dynamics
资金
- Institute for Mathematics and Applications
- National Science Foundation, USA
- Ministry of Science and Technology of Taiwan [MOST 103-2221-E-110-060, 104-2221-E-110-044]
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.
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