Stability of distributed congestion control with diverse communication delays

Based on the clockwise property of parameterized curves and the general Nyquist criterion of stability, a conjecture on the stability of the Internet distributed congestion control algorithm with diverse propagation delays is proved. A more general stability criterion is also provided. The new criterion preserves the elegancy of the conjecture being decentralized and locally implemented. Each end system needs knowledge of its own round-trip delay, but enlarges the stability region of control gains and admissible communication delays.