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Lyapunov stability analysis of networks of scalar conservation laws

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Bastin, Georges [UCL] Haut, Bertrand [UCL] Coron, J-M. D'Andrea-Novel, B.

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.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Publication date 2007
Language Anglais
Conference "Workshop on Modelling and Control of Physical Networks", Pisa(Italy) (Apr 06, 2007)
Journal information "Networks and Heterogeneous Media : an applied mathematics journal" - Vol. 2, no. 4, p. 751-759 (2007)
Peer reviewed yes
issn 1556-1801
e-issn 1556-181X
Publisher Amer Inst Mathematical Sciences (Springfield)
Publication status Publié
Affiliation UCL - FSA/INMA - Département d'ingénierie mathématique
Keywords Lyapunov Stability ; Conservation Laws ; Physical Networks
Links
Bibliographic reference Bastin, Georges ; Haut, Bertrand ; Coron, J-M. ; D'Andrea-Novel, B.. Lyapunov stability analysis of networks of scalar conservation laws.Workshop on Modelling and Control of Physical Networks (Pisa(Italy), Apr 06, 2007). In: Networks and Heterogeneous Media : an applied mathematics journal, Vol. 2, no. 4, p. 751-759 (2007)
Permanent URL http://hdl.handle.net/2078.1/59416