Consensus stability of a class of second-order multi-agent systems with nonuniform time-delays.

*(English)*Zbl 1395.93054Summary: 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 |

##### Keywords:

consensus stability; multi-agent systems; nonuniform time-delays; frequency domain approach
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\textit{P. Lin} et al., J. Franklin Inst. 351, No. 3, 1571--1576 (2014; Zbl 1395.93054)

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