Stability Test of AQM Network

The program can determine the stability of AQM networks.

Description

The program can determine the stability of AQM networks [1-3].
The detailed algorithm is provided in Ref. [1].
Copyright (C) Yang XIAO, Beijing Jiaotong Univ., Oct. 26, 2007

Contact Add: Prof. Yang XIAO
Institute of Information Science
Beijing Jiaotong University
Beijing 100044, China
 E-Mail: [e-mail].

Recent research reveals that the fluid-based model can describe the dynamic behavior for bottleneck networks [1-3]. The stability of the fluid-based model can reflect whether there exists a congestion of the network.

We develop a linearization processing [1] for fluid-based model [2,3] at equilibrium points for the stability analysis of the networks with Active Queue Management (AQM).

The bottleneck networks are described by uncertain linear time-delay systems [1], then 2-D (two-dimensional) Laplace-z transform has been applied in the stability test of the network [1]. Simulations [1] verify the stability analysis for AQM network to be valid, the AQM network approaches to full utilization, while the buffer size on the order of bandwidth-delay product is necessary for the stability of the fluid model with full utilization.

Ref:
[1] Y. Xiao, H. –F. Du, Z. –Z. Cao, and M. –H. Lee, “2-D stability analysis for bottleneck networks with active queue management (AQM)”, Chinese Journal of Electronics, v 16, n 3, July, 2007, p 519-523
[2] Y. Xiao and M. –H. Lee,”Nonlinear control of active queue management for multiple bottleneck network”, IEICE Transactions on Communications, v E89-B, n 11, November, 2006, p 3108-3113
[3] Y. Xiao, H. –F. Du, Z. –Z. Cao and M. –H. Lee, “Active queue management for differentiated network”, IET Conference Publications, n 525, IET International Conference on Wireless Mobile and Multimedia Networks Proceedings, ICWMMN 2006, 2006, p 95.

• MATLAB release: MATLAB 6.5 (R13)