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.
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https://hal.archives-ouvertes.fr/hal-01576879
Contributor : Nicolás Espitia <>
Submitted on : Thursday, August 24, 2017 - 11:32:51 AM
Last modification on : Wednesday, November 13, 2019 - 9:44:01 AM

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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. 20th IFAC World Congress (IFAC WC 2017), Jul 2017, Toulouse, France. ⟨hal-01576879⟩

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