Stability of ABR congestion control using the theory of delayed differential equations
نویسندگان
چکیده
The stabilities of the Fixed Point, ERAQLES and ERICAþ ABR congestion control algorithms were investigated. By using the stability theory of delayed differential equations, the stability conditions for each algorithm are obtained and examples where these algorithms are not stable (the stability definition is given below) are given. Parameters are proposed for which ERICAþ is always stable. It is shown that for a range of control parameters, neither the Fixed Point nor ERAQLES algorithms are stable, whatever the parameters are (round trip times, etc.).
منابع مشابه
Stability analysis of impulsive fuzzy differential equations with finite delayed state
In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...
متن کاملStability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations
In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined....
متن کاملAnalysis of a Queueing Model with Delayed Feedback and its Application to the ABR Flow Control
A common method for regulating the input ow in today s telecommunication networks is the implementation of reactive tra c control mechanisms By limiting the user s ac cess according to the current network load situation the throughput is optimized while congestion is avoided In ATM networks for example a rate based feedback control is applied to dynamically adjust the transmission rates of conn...
متن کاملA Linear Dynamic Model for Design of Stable Explicit-Rate ABR
This contribution focuses on the important stability issue of ABR traac control with explicit-rate schemes. We develop a novel design approach with three advantages. First, the ABR rate is only adapted to the low-frequency variation of the underlying VBR traac, which eeectively prevents network congestion with much improved control stability. Second, a linear dynamic model is presented which ma...
متن کاملMathematical Modeling of Cancer Cells and Chemotherapy Protocol Dealing Optimization Using Fuzzy Differential Equations And Lypunov Stability Criterion
Mathematical models can simulate the growth and proliferation of cells in the interaction with healthy cells, the immune system and measure the toxicity of drug and its effects on healthy tissue pay. One of the main goals of modeling the structure and growth of cancer cells is to find a control model suitable for administration among patients. In this study, a new mathematical model is designed...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Int. J. Systems Science
دوره 34 شماره
صفحات -
تاریخ انتشار 2003