Coordinated patterns of unit speed particles on a closed curve

By Fumin Zhang, Naomi Ehrich Leonard. 2007

151 citations recorded by the source corpus.

We present methods to stabilize a class of motion patterns for unit speed particles in the plane. From their initial positions within a compact set in the plane, all particles converge to travel along a closed curve. The relative distance between each pair of particles along the curve is measured using the relative arc-length between the particles. These distances are controlled to converge to constant values.

Subfields: Biomedical Engineering, Condensed Matter Physics, Mechanical Engineering

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In Biomedical Engineering

In Condensed Matter Physics

In Mechanical Engineering

Citations in the corpus

An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, methodology): “For the case of circular formation and the like, the main rese arch in [170], [171], [184], [186], [188] was devoted to the collective motion for nonhonolomic mobil e robots with the dynamics given in ( 6).”
Formation tracking and attitude synchronization control of underactuated ships along closed orbits (2015, methodology): “Compared with the simple fully actuated particle [18, 20, 21, 23] and the nonholonomic vehicle [19, 22, 24], the underactuated ship is more difficult to control.”
Cooperative Filters and Control for Cooperative Exploration (2010, methodology): “The procedure can be found in our previous works [14], [15].”