Projects per year
Abstract
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.
Original language | English |
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Title of host publication | 53rd IEEE Conference on Decision and Control |
Pages | 5125-5130 |
DOIs | |
Publication status | Published - 2014 |
Event | 53rd IEEE Conference on Decision and Control - Los Angeles, CA, United States Duration: 2014 Dec 15 → … |
Conference
Conference | 53rd IEEE Conference on Decision and Control |
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Country/Territory | United States |
City | Los Angeles, CA |
Period | 2014/12/15 → … |
Subject classification (UKÄ)
- Control Engineering
Keywords
- Dynamical flow networks
- multicommodity flows
- resilience
- distributed routing
- heterogeneous routing
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Dive into the research topics of 'On Resilience of Multicommodity Dynamical Flow Networks'. Together they form a unique fingerprint.Projects
- 1 Finished
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Modeling and Control of Large Scale Transportation Networks
Nilsson, G., Como, G., Rantzer, A. & Lovisari, E.
2013/09/20 → 2019/05/31
Project: Research