Abstract
This paper analyzes the multi-cluster flocking behavior of a Cucker-Smale model involving delays and a short-range communication weight. In each sub-flocking group, the velocity between agents is alignment and the position locates at a limited domain; but in different sub-flocking groups, the position between agents is unbounded. By constructing dissipative differential inequalities of sub-ensembles together with Lyapunov functional methods, the authors provide the sufficient condition for the multi-cluster flocking emerging. The sufficient condition includes the estimation of the range of coupling strength and the upper bound of time delay. As a result, the authors show that the coupling strength among agents and initial threshold value determine the multi-cluster flocking behavior of the delayed Cucker-Smale model.
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This research was supported by the National Natural Science Foundation of China under Grant Nos. 11671011 and 11428101.
This paper was recommended for publication by Editor YOU Keyou.
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Qiao, Z., Liu, Y. & Wang, X. Multi-Cluster Flocking Behavior Analysis for a Delayed Cucker-Smale Model with Short-Range Communication Weight. J Syst Sci Complex 35, 137–158 (2022). https://doi.org/10.1007/s11424-021-0026-3
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DOI: https://doi.org/10.1007/s11424-021-0026-3