Stability analysis of FAST TCP using PI transfer function

A new approach for the stability analysis of FAST TCP system is used for the investigation of one special kind of dynamical systems. This approach is based on results from the stability theory, optimal control theory, and variational methods. The optimal control approach allows us to obtain sufficient algebraic stability conditions for FAST TCP system. The way to obtain necessary and sufficient conditions for stability of systems with parameter r is shown in this paper. This method leads, in some cases, to algebraic necessity and sufficient conditions of absolute stability. Furthermore, case results illustrate the validity of parameter r for the stability of FAST TCP.