Lyapunov stability analysis of networks of scalar conservation laws

Bastin, Georges;Haut, Bertrand;Coron, J-M.;D'Andrea-Novel, B.
(2007) Workshop on Modelling and Control of Physical Networks — Location: Pisa(Italy)

Files

No attached file found for this publication.

Details

Authors
  • Bastin, Georgesorcid-logoUCLouvain
    Author
  • Haut, BertrandUCLouvain
    Author
  • Coron, J-M.
    Author
  • D'Andrea-Novel, B.
    Author
Abstract
It is shown how an entropy-based Lyapunov function can be used for the stability analysis of equilibria in networks of scalar conservation laws. The analysis gives a sufficient stability condition which is weaker than the condition which was previously known in the literature. Various extensions and generalisations are briefly discussed. The approach is illustrated with an application to ramp-metering control of road traffic networks.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Bastin, G., Haut, B., Coron, J.-M., & D’Andrea-Novel, B. (2007). Lyapunov stability analysis of networks of scalar conservation laws. Networks and Heterogeneous Media (Print) : an applied mathematics journal, 2(4), 751-759. https://hdl.handle.net/2078.5/148265 (Original work published 2007)