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Coordinated Patterns of Unit Speed Particles on a Closed Curve

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Fumin Zhang and Naomi Ehrich Leonard

*Systems and Control Letters*, Vol. 56, pages 397-407, 2007.
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.

Email naomi@princeton.edu for electronic copy of paper.
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