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On the Stability of Swarm Consensus Under Noisy Control (1010.4999v1)
Published 24 Oct 2010 in nlin.AO and cs.MA
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.