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This paper is concerned with rigid formations of mobile autonomous agents. For the problem of relative formation stabilization, Nyquist-like criterion for formation stabilization is used in literature, where spectral properties of the Laplacian matrix play a role in evaluating desirable structural properties of formations. Establishing measures of near-periodicity would be useful in quantifying formation...
The paper studies the cyclic pursuit problem in presence of connectivity constraints among single-integrator agents. The robots, each one pursuing its leading neighbor along the line of sight rotated by a common offset angle, are supposed to have a communication set described by a disk of constant radius. Given the initial position of the agents, we determine the communication radii that preserve...
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