Quasi-Monte Carlo Methods in Robust Control Design

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 2435-2440

  Hokayem, Peter F ^a   Abdallah, Chaouki T ^a   Dorato, Peter ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PARAMETER ESTIMATION; POLYNOMIALS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING; TRANSFER FUNCTIONS;

APPROXIMATION ERRORS; INDICATOR FUNCTION;

CONTROL SYSTEMS;

EID: 1542378825     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. T. Alpcan, T. Basar, and R. Tempo, "Randomized Algorithms for Stability and Robustness Analysis of High Speed Communication Networks", IEEE Trans. on Control Systems Technology, submitted, July 2002.
2. M.S. Branicky, S.M. LaValle, K. Olson, L. Yang, "Deterministic vs. Probabilistic Roadmaps", IEEE Trans. on Robotics and Automation, submitted, Jan. 2002.
3. I.N. Bronshtein and K.A. Semendyayev, Handbook of Mathematics, Springer, Berlin, 1998.
4. th Mediterranean Conference on Control and Automation, Rhodes, 2003.
5. L.K. Hua and Y. Wang, Applications of Number Theory to Numerical Analysis, Springer-Verlag, Berlin, 1981.
6. V. Koltchinskii, C.T. Abdallah, M. Ariola, P. Dorato and D. Panchenko, "Improved Sample Complexity Estimates for Statistical Learning Control of Uncertain Systems", IEEE Trans. Automatic Control, vol.45, no.12, pp.2383-2388, Dec. 2000.
7. V. Koltchinskii, C.T. Abdallah, M. Ariola, P. Dorato and D. Panchenko, "Statistical learning control of uncertain systems: It is better than it seems", Tech. Rep.EECE 99-001, EECE Dept., The University of New Mexico, Feb. 1999.
8. L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, John Wiley, NY, 1974.
9. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, 1992.
10. A. Papageorgiou and J.G. Traub, "Faster Evaluation of Multidimesional Integrals", Computers in Physics, pp. 574-578, Nov., 1997.
11. S. Paskov and J.G. Traub, "Faster Valuation of Financial Derivatives", Journal of Portfolio Management, Vol. 22:1, pp. 113-120, Fall, 1995.
12. P.D. Proinov, "Discrepancy and Integration of Continuous Functions", J. Approx. Theory, vol. 52, 1988, pp. 121-131.
13. P.D. Proinov, "Numerical Integration and Approximation of Differentiable Functions II", J. Approx. Theory, vol. 50, 1987, pp. 373-393.
14. L. Szirmay-Kalos, T. Fóris, L. Neumann, B. Csébfalvi, "An Analysis of Quasi-Monte Carlo Integration Applied to the Transillumination Radiosity Method", EURO-GRAPHICS, vol. 16, no. 3, Budapest, 1997.
15. L. Szirmay-Kalos, W. Purgathofer, "Analysis of the Quasi-Monte Carlo Integration of the Rendering Equation", Tech. Report, Dept. of Control Eng. and Information Technology, Technical University of Budapest, 20 Aug 1998.
16. R. Tempo and F. Dabbene, "Randomized Algorithms for Analysis and Control of Uncertain Systems: An Overview", Perspectives in Robust Control - Lecture Notes in Control and Information Science, (ed. S.O. Moheimani), pp. 347-362, Springer-Verlag, London, 2001.
17. S. Tezuka, "Financial Applications of Monte Carlo and Quasi-Monte Carlo Methods", in Random and Quasi-Random Point Sets, (Eds. P. Hellekalek and G. Larcher), Springer-Verlag, NY, 1998.
18. J.G. Truxal, "Control Systems-Some Unusual Design Problems", in Adaptive Control Systems, (Eds. E. Mishkin and L. Braun), McGraw-Hill, NY, 1961.