Randomized algorithms for stability and robustness analysis of high speed communication networks

IEEE Conference on Control Applications - Proceedings

Volumn 1, Issue , 2003, Pages 397-403

  Alpcan, Tansu ^a   Başar, Tamer ^a   Tempo, Roberto ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONGESTION CONTROL (COMMUNICATION); DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; LINEARIZATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY; QUEUEING THEORY; RANDOM PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); TELECOMMUNICATION NETWORKS;

NONLINEAR MODEL; QUEUEING DELAY; RANDOMIZED ALGORITHMS;

SYSTEM STABILITY;

EID: 0344496093     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. T. Alpcan and T. Başar, "A Utility-Based Congestion Control Scheme for Internet-Style Networks with Delay," in Proc. IEEE Infocom, San Francisco, CA, March 30-April 3, 2003.
2. V. Anantharam and J. Walrand (Guest Editors), "A Special Issue on Control Methods for Communication Networks," Automatica, vol. 35, December 1999.
3. L. Bushnell (Guest Editor), "Special Selection on Networks and Control," Control Systems Magazine, vol. 21, February 2001.
4. W. Gong and T. Başar (Guest Editors), "Special Issue of the IEEE Transactions on Automatic Control on Systems and Control Methods for Communication Networks," IEEE Transactions on Automatic Control, vol. 47, June 2002.
5. G. Calafiore, F. Dabbene and R. Tempo, "Randomized Algorithms for Probabilistic Robustness with Real and Complex Structured Uncertainty," IEEE Transactions on Automatic Control, vol. AC-45, pp. 2218-2235, 2000.
6. R. Tempo and F. Dabbene, "Randomized Algorithms for Analysis and Control of Uncertain Systems: An Overview," in Perspectives in Robust Control, Springer-Verlag, London, 2001.
7. M. Vidyasagar, "Statistical Learning Theory and Randomized Algorithms for Control," IEEE Control Systems Magazine, vol. 18, pp. 69-85, December 1998.
8. M.Vidyasagar, A Theory of Learning and Generalization with Applications to Neural Networks and Control Systems, Springer-Verlag, Berlin, 1996.
9. L. Devroye, Non-Uniform Random Variate Generation, Springer-Verlag, New York, 1996.
10. D. E. Knuth, The Art of Computer Programming, Seminumerical Algorithms, Addison-Wesley, Reading, MA, 1996.
11. P. Hellekalek, "Good Random Number Generators are (not so) Easy to Find", Mathematics and Computers in Simulation, vol. 46, pp. 485-505, 1998.
12. T.Başar and G. J.Olsder, Dynamic Noncooperative Game Theory, 2nd ed. Philadelphia, PA: SIAM, 1999.
13. F. Kelly, A. Maulloo, and D. Tan, "Rate control in communication networks: Shadow prices, proportional fairness and stability," Journal of the Operational Research Society, vol. 49, pp. 237-252, 1998.
14. J. E. Gentle, Statistics and Computing: Random Number Generation and Monte Carlo Methods, Springer, Berlin, 1996.
15. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, Pennsylvania, 1992.
16. M. S. Branicky, S. M. LaValle, K. Olson, and L. Yang, "Deterministic vs. Probabilistic Roadmaps," submitted to the IEEE Transactions on Robotics and Automation, January 2002.