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Distributed Algebraic Connectivity Maximization for Robotic Networks: A Heuristic Approach

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Part of the book series: Springer Tracts in Advanced Robotics ((STAR,volume 83))

Abstract

We consider a weighted communication graph in a network of mobile robots, and its associated Laplacian whose entries depend on the pairwise distance between the robots.We propose a heuristic distributed solution for the maximization of the algebraic connectivity of the graph by moving the robots to appropriate positions. Our approach is optimization-based and can be extended to handle various constraints, such as the robots’ dynamics. Our proposed distributed solution uses local algorithms that utilize information only from nearby neighboring robots. Numerical simulations show the applicability and effectiveness of the algorithm and indicate that in certain cases the proposed distributed solution can perform better than the centralized version.

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Correspondence to Andrea Simonetto .

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Simonetto, A., Keviczky, T., Babuška, R. (2013). Distributed Algebraic Connectivity Maximization for Robotic Networks: A Heuristic Approach. In: Martinoli, A., et al. Distributed Autonomous Robotic Systems. Springer Tracts in Advanced Robotics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32723-0_20

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  • DOI: https://doi.org/10.1007/978-3-642-32723-0_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32722-3

  • Online ISBN: 978-3-642-32723-0

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