On Resilience of Multicommodity Dynamical Flow Networks

Gustav Nilsson, Giacomo Como, Enrico Lovisari

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5 Citeringar (SciVal)
166 Nedladdningar (Pure)

Sammanfattning

Dynamical flow networks with heterogeneous routing are analyzed in terms of stability and resilience to perturbations. Particles flow through the network and, at each junction, decide which downstream link to take on the basis of the local state of the network. Differently from single-commodity scenarios, particles belong to different classes, or commodities, with different origins and destinations, each reacting differently to the observed state of the network. As such, the commodities compete for the shared resource that is the flow capacity of each link of the network. This implies that, in contrast to the single-commodity case, the resulting dynamical system is not monotone, hence harder to analyze. It is shown that, in an acyclic network, when a feasible globally asymptotically stable aggregate equilibrium exists, then each commodity also admits a unique equilibrium. In addition, a sufficient condition for stability is provided. Finally, it is shown that, differently from the single-commodity case, when this condition is not satisfied, the possible unique equilibrium may be arbitrarily fragile to perturbations of the network.
Originalspråkengelska
Titel på värdpublikation53rd IEEE Conference on Decision and Control
Sidor5125-5130
DOI
StatusPublished - 2014
Evenemang53rd IEEE Conference on Decision and Control - Los Angeles, CA, USA
Varaktighet: 2014 dec 15 → …

Konferens

Konferens53rd IEEE Conference on Decision and Control
Land/TerritoriumUSA
OrtLos Angeles, CA
Period2014/12/15 → …

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