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arXiv · 1010.4999

On the Stability of Swarm Consensus Under Noisy Control

Gregory K. Fricke·Bruce W. Rogers·Devendra P. Garg
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Abstract

Representation of a swarm of independent robotic agents under graph-theoretic constructs allows for more formal analysis of convergence properties. We consider the local and global convergence behavior of an N-member swarm of agents in a modified consensus problem wherein the connectivity of agents is governed by probabilistic functions. The addition of a random walk control ensures Lyapunov stability of the swarm consensus. Simulation results are given and planned experiments are described.

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Gregory K. Fricke, Bruce W. Rogers, Devendra P. Garg. 2010-10-24. On the Stability of Swarm Consensus Under Noisy Control. https://arxiv.org/abs/1010.4999

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