Second-Order Agents on Ring Digraphs
Provides a theoretical result for consensus in a specific network topology, but is incremental as it extends known conditions to a particular graph structure.
The paper derives a consensus condition for second-order agents on ring digraphs with regularly dropped arcs, showing the condition is independent of the number of agents.
The paper addresses the problem of consensus seeking among second-order linear agents interconnected in a specific ring topology. Unlike the existing results in the field dealing with one-directional digraphs arising in various cyclic pursuit algorithms or two-directional graphs, we focus on the case where some arcs in a two-directional ring graph are dropped in a regular fashion. The derived condition for achieving consensus turns out to be independent of the number of agents in a network.