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Consensus stability of a class of second-order multi-agent systems with nonuniform time-delays. (English) Zbl 1395.93054
Summary: This paper is concerned with a consensus problem of a class of second-order multi-agent systems with nonuniform time-delays. A distributed consensus algorithm is adopted to drive all agents to reach consensus and move together with a constant velocity. By a frequency domain approach, an upper bound on the maximum of the time-delays that can be tolerated is given for the consensus of the system.

##### MSC:
 93A14 Decentralized systems 68T42 Agent technology and artificial intelligence 93B17 Transformations 93C80 Frequency-response methods in control theory 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory
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