Fluid-flow modeling and stability analysis of communication networks. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Espitia, Nicolás; Girard, Antoine; Marchand, Nicolas; Prieur, Christophe
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 4534
• Page End: 4539
• Publication Date: 2017-07
• Subjects: Compartmental networks -- Fluid-flow modeling -- Hyperbolic systems of conservation laws -- Lyapunov techniques; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.727
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper deals with a fluid-flow modeling under compart mental 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.