Lyapunov stability analysis of networks of scalar conservation laws | Zendy

Georges Bastin | Zendy; Bertrand Haut | Zendy; JeanMichel Coron | Zendy; Brigitte d’Andréa-Novel | Zendy

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Lyapunov stability analysis of networks of scalar conservation laws

Author(s) -

Georges Bastin,

Bertrand Haut,

JeanMichel Coron,

Brigitte d’Andréa-Novel

Publication year - 2007

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2007.2.751

Subject(s) - conservation law , lyapunov function , scalar (mathematics) , stability (learning theory) , mathematics , entropy (arrow of time) , lyapunov stability , control theory (sociology) , computer science , law , mathematical analysis , control (management) , physics , geometry , quantum mechanics , nonlinear system , machine learning , artificial intelligence , political science

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.

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