中文摘要：

研究了改进的时变时滞FAST TCP系统的全局稳定性.针对解轨迹界全局稳定性分析方法存在的缺陷,提出了一种改进的分析方法.该方法计算时滞项在积分区间内的最大增长方向,应用倒推法计算时滞项每一时刻对应的更低保守的下界,采用连续积分的方法计算准确的解轨迹界,与解轨迹界全局稳定性分析方法相比,可获得更准确、更低保守性的全局稳定性条件.数值计算和NS-2实验仿真验证了该方法所获得的全局稳定性条件的准确性和该方法的有效性.

英文摘要：

The global stability of an improved fast active queue management scalable transmission control protocol（ FAST TCP） system with time-varying delay was investigated. In order to overcome the defects of the trajectory bounds anal- ysis method, an improved analysis method was proposed. The new method is characterized by the computation of the maximum growth direction of the time-delay term in the integral interval, the computation of the corresponding less conservative lower hounds of each moment in the integral interval with backward induction method, and the compu- tation of accurate trajectory bounds by using the continuous integral method. Compared with the trajectory bound analysis method,this method can obtain more accurate, less conservative global stability requirements for a FAST TCP system. The accuracy of the global stability requirements achieved with the proposed method and the method＇ s effectiveness were verified by numerical calculations and the NS-2 simulation.