Fluid-flow modeling and stability analysis of communication networks

Abstract : This paper deals with a fluid-flow modeling under compartmental representation of a network. The motivating example is a communication network made up of buffers and transmission lines where densities and flows of packets are viewed as macroscopic variables respecting the conservation laws. The main contribution lies in the resulting model. It is a coupled linear hyperbolic partial differential equations (PDEs) with an ordinary differential equation (ODEs) along with a dynamic boundary condition. Input-to-state stability of an optimal equilibrium is analyzed using Lyapunov techniques.
Type de document :
Communication dans un congrès
IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. 〈https://www.ifac2017.org/〉
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Contributeur : Nicolás Espitia <>
Soumis le : jeudi 24 août 2017 - 11:32:51
Dernière modification le : lundi 30 avril 2018 - 15:02:01

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  • HAL Id : hal-01576879, version 1

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Nicolás Espitia, Antoine Girard, Nicolas Marchand, Christophe Prieur. Fluid-flow modeling and stability analysis of communication networks. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. 〈https://www.ifac2017.org/〉. 〈hal-01576879〉

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