FAST TCP模型的稳定性

Stability of the FAST TCP Model

以FAST TCP模型为基础,研究往返时滞对系统的影响.研究时,将时滞取值固定在平衡点,引入往返时滞的倍数μ.同时,将系统在平衡点处进行线性化,得到线性化后的特征方程,从而得出平衡点稳定性的条件,并用数值模拟进行了验证.结论表明:往返时滞取值不能够太大,否则系统将因分岔失去稳定性,从而引起系统恶化.

Based on the FAST TCP model,the influence of round-trip delay on the system is studied in this paper. In the course of the study,the delay value is fixed at the equilibrium point,and the multiples μ of the round-trip delay are introduced. At the same time,the system is linearized at the equilibrium point,and the linearized characteristic equation is obtained.Therefore,the stability condition of the equilibrium point is obtained,and the numerical simulation is verified. The results show that the value of the round-trip delay can not be too large,otherwise the system will lose stability due to bifurcation,which will lead to system deterioration.