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Convergence of Distributed WSN Algorithms: The Wake-Up Scattering Problem

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Hybrid Systems: Computation and Control (HSCC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5469))

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Abstract

In this paper, we analyze the problem of finding a periodic schedule for the wake-up times of a set of nodes in a Wireless Sensor Network that optimizes the coverage of the region the nodes are deployed on. An exact solution of the problem entails the solution of an Integer Linear Program and is hardly viable on low power nodes. Giusti et. al. [6] have recently proposed an efficient decentralized approach that produces a generally good suboptimal solution. In this paper, we study the convergence of this algorithm by casting the problem into one of asymptotic stability for a particular class of linear switching systems. For general topologies of the WSN, we offer local stability results. In some specific special cases, we are also able to prove global stability properties.

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Authors and Affiliations

  1. Dipartimento di Ingegneria e Scienza dell’Informazione, University of Trento, Trento, Italy

    Daniele Fontanelli, Luigi Palopoli & Roberto Passerone

Authors
  1. Daniele Fontanelli
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  2. Luigi Palopoli
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  3. Roberto Passerone
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of California, 4531E Boelter Hall, CA 90095, Los Angeles, USA

    Rupak Majumdar

  2. Department of Electrical Engineering, University of California, 66-147F Engineering, IV Building, CA 90095-1594, Los Angeles, USA

    Paulo Tabuada

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© 2009 Springer-Verlag Berlin Heidelberg

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Fontanelli, D., Palopoli, L., Passerone, R. (2009). Convergence of Distributed WSN Algorithms: The Wake-Up Scattering Problem. In: Majumdar, R., Tabuada, P. (eds) Hybrid Systems: Computation and Control. HSCC 2009. Lecture Notes in Computer Science, vol 5469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00602-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-00602-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00601-2

  • Online ISBN: 978-3-642-00602-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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