Title: Global asymptotic stability of internet adaptive congestion control algorithm

Authors: Hong-yong Yang, Si-ying Zhang

Addresses: School of Computer Science and Technology, Ludong University, Yantai, 264025, China. ' School of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

Abstract: To ensure the quality of service of the network, the internet applies network congestion control algorithms to adjust the rate to improve the serving capacity. Based on the working mechanisms of internet communication systems, a dynamic internet congestion control primal dual algorithm is presented. By applying the Lyapunov stability theorem, the global asymptotic stability of the dynamic algorithm with negligible communication delays is studied. Furthermore, the global asymptotic stability of the dynamic algorithm with communication delays is analysed by means of the Lyapunov-Krasovskii theorem. Finally, computer simulations show the validity of these results.

Keywords: quality of service; QoS; adaptive control; network congestion control; Lyapunov-Krasovskii theorem; global asymptotic stability; internet; communication delays; simulation.

DOI: 10.1504/IJSCC.2008.021123

International Journal of Systems, Control and Communications, 2008 Vol.1 No.2, pp.215 - 226

Published online: 04 Nov 2008 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article