Stability of the Internet congestion control with diverse delays

  • Authors:
  • Yu-Ping Tian;Hong-Yong Yang

  • Affiliations:
  • Department of Automatic Control, Southeast University, Nanjing 210096, PR China;Department of Automatic Control, Southeast University, Nanjing 210096, PR China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

Based on the clockwise property of parameterized curves and the general Nyquist criterion of stability, a conjecture on the stability of the Internet 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 only of its own round-trip delay, but enlarges the stability region of control gains and admissible communication delays.