1 research outputs found
Edge Agreement of Second-order Multi-agent System with Dynamic Quantization via Directed Edge Laplacian
This work explores the edge agreement problem of second-order multi-agent
system with dynamic quantization under directed communication. To begin with,
by virtue of the directed edge laplacian, we derive a model reduction
representation of the closed-loop multi-agent system depended on the spanning
tree subgraph. Considering the limitations of the finite bandwidth channels,
the quantization effects of second-order multi-agent system under directed
graph are considered. Motivated by the observation that the static quantizer
always lead to the practical stability rather than the asymptotic stability,
the dynamic quantized communication strategy referring to the rooming
in-rooming out scheme is employed. Based on the reduced model associated with
the essential edge Laplacian, the asymptotic stability of second-order
multi-agent system under dynamic quantized effects with only finite
quantization level can be guaranteed. Finally, simulation results are provided
to verify the theoretical analysis.Comment: 21 pages; submitted to Nonlinear Analysis: Hybrid Systems, Ms. Ref.
No.: NAHS-D-15-00161. arXiv admin note: substantial text overlap with
arXiv:1501.0667