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Submodular Optimization for Smooth Convergence

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Submodularity in Dynamics and Control of Networked Systems

Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

Smooth convergence ensures that the networked nodes converge to their desired states with minimal delay and error in their intermediate states. A submodular optimization approach to smooth convergence in networked systems is presented in this chapter. The approach is based on identifying connections between the system dynamics and the statistics of a random walk on the network, and is developed for static and dynamic networks. The problem of minimizing convergence error when the topology dynamics are unknown is discussed, including bounds on the worst-case error and online optimization algorithms with provable guarantees.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA, USA

    Andrew Clark

  2. King Abdulaziz City for Science and Technology, Riyadh, Saudi Arabia

    Basel Alomair

  3. Department of Electrical Engineering, University of Washington, Seattle, WA, USA

    Linda Bushnell & Radha Poovendran

Authors
  1. Andrew Clark
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  2. Basel Alomair
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  3. Linda Bushnell
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  4. Radha Poovendran
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Corresponding author

Correspondence to Andrew Clark .

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Clark, A., Alomair, B., Bushnell, L., Poovendran, R. (2016). Submodular Optimization for Smooth Convergence. In: Submodularity in Dynamics and Control of Networked Systems. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-26977-1_5

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  • DOI: https://doi.org/10.1007/978-3-319-26977-1_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26975-7

  • Online ISBN: 978-3-319-26977-1

  • eBook Packages: EngineeringEngineering (R0)

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