Local stability of REM algorithm with time-varying delays

• Published in: IEEE communications letters Vol. 7; no. 3; pp. 142 - 144
• Main Authors: LONG, Cheng-Nian, JING WU, GUAN, Xin-Ping
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2003; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Congestion; Control theory; Convergence; Delay; Exact sciences and technology; Internet; IP networks; Length measurement; Linear matrix inequalities; Loss measurement; Matlab; Performance loss; Robust stability; Stability; Stability analysis; Systems, networks and services of telecommunications; TCP (protocol); Telecommunications; Telecommunications and information theory; Teletraffic; Stability; Linear matrix inequality; Traffic control; Teletraffic; linear matrix inequality (LMI); Internet; Congestion control; REM; Algorithm; Traffic congestion; Local stability
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2003.810070

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.