LMI stability criteria for tcp networks with time-varying delay

Author

Yan, Minxiu ; Shi, Hongyan ; Zhang, Nannan ; Niu, Dapeng

Author_Institution

Coll. of Inf., Shengyang Inst. of Chem. Technol., Shenyang

fYear

2008

fDate

1-3 Sept. 2008

Firstpage

1136

Lastpage

1140

Abstract

This paper presents a robust stability analysis method for congestion control in TCP networks based on a time-varying structured uncertainties and time-varying delays control theory. Some delay dependent stability criteria under which TCP system is global stability in terms of the error between instantaneous queue lengths and target queue length is devised. A linear matrix inequality (LMI) stability criterion is presented for congestion control algorithm of random exponential marking (REM) model. Numerical example demonstrates that this analytic method is effective.

Keywords

delays; linear matrix inequalities; robust control; stability criteria; telecommunication congestion control; time-varying systems; transport protocols; LMI stability criteria; TCP networks; TCP system; congestion control algorithm; delay dependent stability criteria; global stability; linear matrix inequality stability criterion; random exponential marking model; robust stability analysis; time-varying delays control theory; time-varying structured uncertainty; transport control protocol; Delay; Educational institutions; Feedback; Internet; Loss measurement; Mathematical model; Robust stability; Stability analysis; Stability criteria; Uncertainty; LMI; TCP networks; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation and Logistics, 2008. ICAL 2008. IEEE International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-2502-0

Electronic_ISBN

978-1-4244-2503-7

Type

conf

DOI

10.1109/ICAL.2008.4636322

Filename

4636322