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Kingston et al.'s synchronization conjecture for perimeter surveillance
A configuration consists of a time $t$ together with the positions, directions, and estimates of all drones at that time. A drone is left synchronized at time $t$ if thereafter it…
opencontrol-theory multi-agent-systems perimeter-surveillance
07
Kingston et al.'s perimeter surveillance convergence conjecture
A configuration consists of a time $t$ together with the positions, directions, and estimates of all drones at that time. A drone is left synchronized at time $t$ if thereafter it…
opencontrol-theory multi-agent-systems perimeter-surveillance
04
Apollonius-boundary conjecture for active pursuers in the MPSE problem
Let an MPSE problem have pursuers and evaders at positions at time $t$ , with $0\leq t<t_c$ . Let $\mathcal{B}^t$ be the Apollonius boundary and let $\mathcal{A}_i$ denote the Apollo…
openapollonius-circles multi-agent-systems pursuit-evasion
06
Convergence to a stable equilibrium for random initial opinions
Consider the continuous-time opinion-dynamics system with $n$ agents, and choose the agents' initial opinions independently and randomly according to a bounded probability density…
openmulti-agent-systems opinion-dynamics stochastic-processes
04

Kingston et al.'s synchronization conjecture for perimeter surveillance