Multiagent Persistent Monitoring via Time-Inverted Kuramoto Dynamics

We present a novel distributed multi-robot coordination strategy to persistently monitor a closed path-like environment. Our monitoring strategy relies on a class of time-inverted Kuramoto dynamics, whose multiple equilibria coincide with different monitoring configurations and allow us to tune the covering time of specific areas based on their priority. We provide a detailed analysis of the equilibria of the considered class of time-inverted Kuramoto dynamics and demonstrate the effectiveness of the proposed monitoring strategy via numerical examples.