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Bounding the smallest robustly control invariant sets in networks with discrete disturbances and controls

Published: 09 April 2013 Publication History

Abstract

This paper is concerned with the reliability of logistics networks, specifically the problem of guaranteeing their robustness to uncertainties in operating conditions while maintaining economical storage costs. Indeed, we investigate logistics networks in a setup where both the disturbances and control actions take their values in prescribed finite alphabet sets, we revisit recently derived bounds on the 'l1' norm of the smallest invariant hyperbox sets, we show that the existing bounds are conservative, and we propose a tighter new lower bound.

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      cover image ACM Conferences
      HiCoNS '13: Proceedings of the 2nd ACM international conference on High confidence networked systems
      April 2013
      152 pages
      ISBN:9781450319614
      DOI:10.1145/2461446
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Published: 09 April 2013

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      Author Tags

      1. finite alphabets
      2. invariant sets
      3. logistics networks
      4. robustness

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      HiCoNS '13 Paper Acceptance Rate 18 of 37 submissions, 49%;
      Overall Acceptance Rate 30 of 55 submissions, 55%

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