Fluid-flow modeling and stability analysis of communication networks

Nicolás Espitia (1) , Antoine Girard (2) , Nicolas Marchand (1) , Christophe Prieur (1)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 L2S - Laboratoire des signaux et systèmes

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.

Mots clés: Compartmental networks; Lyapunov techniques; Fluid-flow modeling; Hyperbolic systems of conservation laws

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]

Nicolás Espitia, Antoine Girard, Nicolas Marchand, Christophe Prieur. Fluid-flow modeling and stability analysis of communication networks. IFAC WC 2017 - 20th IFAC World Congress, Jul 2017, Toulouse, France. ⟨hal-01576879⟩