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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This research was supported in part by the National Natural Science Foundation of China under Grant Nos. 60874018, 60736022, and 60821091.
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Wang, X., Hong, Y. Distributed finite-time χ-consensus algorithms for multi-agent systems with variable coupling topology. J Syst Sci Complex 23, 209–218 (2010). https://doi.org/10.1007/s11424-010-7254-2
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DOI: https://doi.org/10.1007/s11424-010-7254-2