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This work explores the edge agreement problem of second-order multi-agentsystem with dynamic quantization under directed communication. To begin with,by virtue of the directed edge laplacian, we derive a model reductionrepresentation of the closed-loop multi-agent system depended on the spanningtree subgraph. Considering the limitations of the finite bandwidth channels,the quantization effects of second-order multi-agent system under directedgraph are considered. Motivated by the observation that the static quantizeralways lead to the practical stability rather than the asymptotic stability,the dynamic quantized communication strategy referring to the roomingin-rooming out scheme is employed. Based on the reduced model associated withthe essential edge Laplacian, the asymptotic stability of second-ordermulti-agent system under dynamic quantized effects with only finitequantization level can be guaranteed. Finally, simulation results are providedto verify the theoretical analysis.

Edge Agreement of Second-order Multi-agent System with Dynamic Quantization via Directed Edge Laplacian