中文摘要：

FAST TCP是面向未来高带宽延迟积网络提出的新一代传输控制协议.在不同的网络环境中分析其稳定性是目前研究的热点之一.建立了单链路多源网络中,FAST TCP和路由器组成的闭环系统的非线性、延迟微分方程模型.根据模型得到系统的平衡点,在平衡点附近将非线性模型进行线性化,采用现代控制理论方法证明了系统局部稳定的充分条件,解除了稳定性条件与网络参数之间的耦合.大量的仿真实验验证了稳定性结论的正确性.

英文摘要：

FAST TCP is a recently proposed transfer control protocol for future networks with high bandwidth delay product.At present,analyzing the stability of FAST TCP in different networks is an active research area.The nonlinear delay differential equations are established to describe the closed loop system made up of FAST TCP and the routers in single-link multi-source networks.Based on this model,the equilibrium point of the system is deduced.Then the nonlinear model of the system is linearized around the equilibrium point.Moreover,the sufficient condition for local stability of the system is achieved using modern control theory.The stability condition is decoupled from network parameters.The conclusion presented here is strongly verified by extensive simulations.