Análisis del algoritmo red con la teoría de control moderna

this paper presents a study of the stability of the system of the red (random early detection) algorithm in conjunction with tcp (transmission control protocol) based on the parameters of the system using modern control theory. we deduce the linearized equation of the system through which a study of stability depending on the position of the poles of the linearized system matrix is made. it was noted that as the number (n) of tcp connections grows, stability reduces. through simulations, the expected results were verified by theoretical analysis. the experiments include different system operating conditions with various values of highest probability of marking packets, noting that for high probability values, the relative stability also decreases