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dc.contributor.authorComo, Giacomo
dc.contributor.authorAcemoglu, Daron
dc.contributor.authorDahleh, Munther A.
dc.contributor.authorFrazzoli, Emilio
dc.contributor.authorSavla, Ketan D.
dc.date.accessioned2013-10-30T12:34:42Z
dc.date.available2013-10-30T12:34:42Z
dc.date.issued2013-01
dc.date.submitted2012-06
dc.identifier.issn0018-9286
dc.identifier.issn1558-2523
dc.identifier.urihttp://hdl.handle.net/1721.1/81860
dc.descriptionOriginal manuscript March 25, 2011en_US
dc.description.abstractRobustness of distributed routing policies is studied for dynamical networks, with respect to adversarial disturbances that reduce the link flow capacities. A dynamical network is modeled as a system of ordinary differential equations derived from mass conservation laws on a directed acyclic graph with a single origin-destination pair and a constant total outflow at the origin. Routing policies regulate the way the total outflow at each nondestination node gets split among its outgoing links as a function of the current particle density, while the outflow of a link is modeled to depend on the current particle density on that link through a flow function. The dynamical network is called partially transferring if the total inflow at the destination node is asymptotically bounded away from zero, and its weak resilience is measured as the minimum sum of the link-wise magnitude of disturbances that make it not partially transferring. The weak resilience of a dynamical network with arbitrary routing policy is shown to be upper bounded by the network's min-cut capacity and, hence, is independent of the initial flow conditions. Moreover, a class of distributed routing policies that rely exclusively on local information on the particle densities, and are locally responsive to that, is shown to yield such maximal weak resilience. These results imply that locality constraints on the information available to the routing policies do not cause loss of weak resilience. Fundamental properties of dynamical networks driven by locally responsive distributed routing policies are analyzed in detail, including global convergence to a unique limit flow. The derivation of these properties exploits the cooperative nature of these dynamical systems, together with an additional stability property implied by the assumption of monotonicity of the flow as a function of the density on each link.en_US
dc.description.sponsorshipNational Science Foundation (U.S.). Office of Emerging Frontiers in Research and Innovation (ARES Grant 0735956)en_US
dc.description.sponsorshipUnited States. Air Force Office of Scientific Research (Grant FA9950-09-1-0538)en_US
dc.language.isoen_US
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/tac.2012.2209951en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike 3.0en_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/en_US
dc.sourcearXiven_US
dc.titleRobust Distributed Routing in Dynamical Networks - Part I: Locally Responsive Policies and Weak Resilienceen_US
dc.typeArticleen_US
dc.identifier.citationComo, Giacomo, Ketan Savla, Daron Acemoglu, Munther A. Dahleh, and Emilio Frazzoli. “Robust Distributed Routing in Dynamical Networks - Part I: Locally Responsive Policies and Weak Resilience.” IEEE Transactions on Automatic Control 58, no. 2 (February 2013): 317-332.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Aeronautics and Astronauticsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Economicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Scienceen_US
dc.contributor.departmentMassachusetts Institute of Technology. Laboratory for Information and Decision Systemsen_US
dc.contributor.mitauthorSavla, Ketan D.en_US
dc.contributor.mitauthorAcemoglu, Daronen_US
dc.contributor.mitauthorDahleh, Munther A.en_US
dc.contributor.mitauthorFrazzoli, Emilioen_US
dc.relation.journalIEEE Transactions on Automatic Controlen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dspace.orderedauthorsComo, Giacomo; Savla, Ketan; Acemoglu, Daron; Dahleh, Munther A.; Frazzoli, Emilioen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-0505-1400
dc.identifier.orcidhttps://orcid.org/0000-0002-1470-2148
dc.identifier.orcidhttps://orcid.org/0000-0003-0908-7491
mit.licenseOPEN_ACCESS_POLICYen_US


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