DISTRIBUTED FINITE-TIME χ-CONSENSUS ALGORITHMS FORMULTI-AGENT SYSTEMS WITH VARIABLE COUPLING TOPOLOGY

Xiaoli WANG;Yiguang HONG

Journal of Systems Science & Complexity ›› 2010, Vol. 23 ›› Issue (2) : 209-218.

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Journal of Systems Science & Complexity ›› 2010, Vol. 23 ›› Issue (2) : 209-218. DOI: 10.1007/s11424-010-7254-2
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DISTRIBUTED FINITE-TIME χ-CONSENSUS ALGORITHMS FORMULTI-AGENT SYSTEMS WITH VARIABLE COUPLING TOPOLOGY

  • Xiaoli WANG, Yiguang HONG
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Abstract

This paper considers finite-time χ-consensus problem for a multi-agent system with first-order individual dynamics and switching interaction topologies. Several distributed finite-time consensus rules are constructed for multi-agent dynamics in a
unified way with the help of Lyapunov function and graph theory as well as homogeneity. Time-invariant non-smooth forms of finite-time neighbor-based controllers are proposed and a numerical example is shown for illustration.

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χ-consensus / distributed control / multi-agent networks / non-smoothness / switching graphs.

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Xiaoli WANG , Yiguang HONG. DISTRIBUTED FINITE-TIME χ-CONSENSUS ALGORITHMS FORMULTI-AGENT SYSTEMS WITH VARIABLE COUPLING TOPOLOGY. Journal of Systems Science and Complexity, 2010, 23(2): 209-218 https://doi.org/10.1007/s11424-010-7254-2
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