International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Global Finite-Time Convergence of TCP Vegas without Feedback Information Delay

  • Choi, Joon-Young (Department of Electronic Engineering, Pusan National University) ;
  • Koo Kyung-Mo (Department of Electrical Engineering Pohang University of Science and Technology) ;
  • Lee, Jin S. (Department of Electrical Engineering Pohang University of Science and Technology) ;
  • Low Steven H. (Department of Computer Science and Electrical Engineering, California Institute of Technology)
  • Published : 2007.02.28
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Abstract

We prove that TCP Vegas globally converges to its equilibrium point in finite time assuming no feedback information delay. We analyze a continuous-time TCP Vegas model with discontinuity and high nonlinearity. Using the upper right-hand derivative and applying the comparison lemma, we cope with the discontinuous signum function in the TCP Vegas model; using a change of state variables, we deal with the high nonlinearity. Although we ignore feedback information delay in analyzing the model of TCP Vegas, the simulation results illustrate that TCP Vegas in the presence of feedback information delay shows very similar dynamic trends to TCP Vegas without feedback information delay. Consequently, dynamic properties of TCP Vegas without feedback information delay can be used to estimate those of TCP Vegas in the presence of feedback information delay.

Keywords

References

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