Nonlinear stability analysis for a class of TCP/AQM networks

Author

Hollot, C.V. ; Chait, Y

Author_Institution

Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA

Volume

3

fYear

2001

fDate

2001

Firstpage

2309

Abstract

Recent work has shown the benefit of using proportional feedback in TCP/AQM (transmission control protocol/active queue management) networks. By proportional feedback we mean the marking probability is proportional to the instantaneous queue length. Our earlier work (2001) relied on linearization of nonlinear fluid-flow models of TCP. In this work we address these nonlinearities directly and establish some stability results when the marking is proportional. In the case of delay-free marking, we show the system´s equilibrium point to be asymptotically stable for all proportional gains. In the more realistic case of delayed feedback, we establish local asymptotic stability and quantify a region of attraction

Keywords

Internet; asymptotic stability; feedback; queueing theory; telecommunication network management; transport protocols; Internet; TCP/AQM networks; Transmission Control Protocol; active queue management; asymptotic stability; delayed feedback; equilibrium point; linearization; nonlinear fluid flow models; probability; proportional feedback; Asymptotic stability; Bandwidth; Delay effects; Feedback control; Heart; Internet; Linearity; Probes; Propagation losses; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980604

Filename

980604