Local stability of REM algorithm with time-varying delays

Author

Long, Cheng-Nian ; Wu, Jing ; Guan, Xin-Ping

Author_Institution

Dept. of Electr. Eng., Yanshan Univ., Qinhuangdao, China

Volume

7

Issue

3

fYear

2003

fDate

3/1/2003 12:00:00 AM

Firstpage

142

Lastpage

144

Abstract

We investigate the local stability in equilibrium for an Internet congestion control algorithm proposed by Low (see IEEE/ACM Transactions on Networking, vol.7, p.861-875,1999). The network consists of multisource and one-bottleneck link with heterogenous time-varying propagation delays. Linear matrix inequality (LMI) stability criteria is presented for discrete congestion control algorithm of TCP/REM dual model, which can be efficiently and easily solved by the LMI toolbox provided by Matlab software. An important feature is to acquire the maximum network delays to guarantee the stability of congestion control algorithm, i.e., the scale stability domain of REM algorithm.

Keywords

Internet; delays; linear matrix inequalities; software tools; stability; telecommunication congestion control; transport protocols; Internet congestion control algorithm; LMI stability criteria; LMI toolbox; Matlab software; REM algorithm; TCP/REM dual model; congestion control algorithm stability; discrete congestion control algorithm; heterogenous time-varying propagation delays; linear matrix inequality stability criteria; local stability; maximum network delay; multisource link; one-bottleneck link; scale stability domain; Convergence; Delay; IP networks; Internet; Length measurement; Linear matrix inequalities; Loss measurement; Performance loss; Robust stability; Stability analysis;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2003.810070

Filename

1187389