Optimization of approximating networks for optimal fault diagnosis

Optimization Methods and Software

Volumn 20, Issue 2-3, 2005, Pages 241-266

  Alessandri, A ^a   Sanguineti, M ^b  

^a CNR   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

Functional optimization; High dimensional admissible solutions; Model based fault diagnosis; Nonlinear programing; Optimal estimation; Polynomially complex approximators; Stochastic approximation

Indexed keywords

ACCIDENT PREVENTION; APPROXIMATION THEORY; ESTIMATION; FUNCTIONS; NONLINEAR PROGRAMMING; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; TRANSPORTATION;

FUNCTIONAL OPTIMIZATION; HIGH-DIMENSIONAL ADMISSIBLE SOLUTIONS; MODEL-BASED FAULT DIAGNOSIS; OPTIMAL ESTIMATION; POLYNOMIALLY COMPLEX APPROXIMATORS; STOCHASTIC APPROXIMATION;

RANDOM PROCESSES;

EID: 12444304456     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: 10.1080/10556780512331318245     Document Type: Conference Paper

References (37)

1. Gertler, J.J., 1988, IEEE Control Systems Magazine, 8(6), 3-11.
2. Frank, P.M., 1990, Automatica, 26(3), 459-474.
3. Zhang, X., Polycarpou, M.M. and Parisini, T., 2001, International Journal of Control, 74(133), 1295-1310.
4. Zhang, X., Polycarpou, M.M. and Parisini, T., 2002, IEEE Transactions on Automatic Control, 47(4), 576-593.
5. Alcorta-Garcia, E. and Frank, P.M., 1997, Control Engineering Practice, 5(5), 663-670.
6. De Persis, C. and Isidori, A., 2001, IEEE Transactions on Automatic Control, 46(6), 853-865.
7. Massoumnia, M.A., 1986, IEEE Transactions on Automatic Control, 31(9), 839-846.
8. Duyar, A., Eldem, V., Merril, W. and Guo, T., 1994, Journal of Guidance, Control, and Dynamics, 17(1), 104-108.
9. Niedźwiecki, M., 1994, Automatica, 30(3), 447-459.
10. Girosi, F., 1998, Neural Computation, 10(6), 1455-1480.
11. Zoppoli, R. and Parisini, T., 1992, In: A. Isidori and T.J. Tarn, (Eds) Systems, Models and Feedback: Theory and Applications (Boston: Birkhauser).
12. Parisini, T. and Zoppoli, R., 1996, IEEE Transactions on Automatic Control, 41(6), 889-895.
13. Parisini, T. and Zoppoli, R., 1994, IEEE Transactions on Neural Networks, 5(3), 436-449.
14. Zoppoli, R., Sanguineti, M. and Parisini, T., 2002, Journal of Optimization Theory and Applications, 112(2), 403-439.
15. Baglietto, M., Parisini, T. and Zoppoli, R., 2001, IEEE Transactions on Automatic Control, 46(9), 1471-1477.
16. Kůrková, V. and Sanguineti, M., 2004, SIAM Journal on Optimization, (in press).
17. Kainen, P.C., Kürková, V. and Sanguineti, M., 2003, SIAM Journal on Optimization, 14(3), 732-742.
18. Baglietto, M., Parisini, T. and Zoppoli, R., 2001, IEEE Transactions on Neural Networks, 12(3), 485-502.
19. Baglietto, M., Sanguineti, M. and Zoppoli, R., 2003, In: G. Di Pillo and A. Murli (Eds) Applied Optimization (Dordrecht, The Netherlands: Kluwer Academic Publishers), pp. 23-56.
20. Bellman, R., 1957, Dynamic Programming (Princeton, NJ: Princeton University Press).
21. Beard, R.W. and McLain, T.W., 1998, International Journal of Control, 71(5), 717-743.
22. Barron, A.R., 1993, IEEE Transactions on Information Theory, 39(3), 930-945.
23. Breiman, L., 1993, IEEE Transactions on Information Theory, 39(3), 993-1013.
24. Kůrková, V. and Sanguineti, M., 2001, IEEE Transactions on Information Theory, 47(6), 2659-2665.
25. Kůrková, V. and Sanguineti, M., 2002, IEEE Transactions on Information Theory, 48(1), 264-275.
26. Chen, V.C.P., Ruppert, D. and Shoemaker, C.A., 1999, Operations Research, 47, 38-53.
27. Johnson, S.A., Stedinger, J.R., Shoemaker, C., Li, Y. and Tejada-Guibert, J., 1993, Operations Research, 41, 484-500.
28. Alessandri, A., Parisini, T. and Zoppoli, R., 1997, International Journal of Control, 67(2), 275-302.
29. Sjöberg, J., Zhang, Q., Ljung, L., Benveniste, A., Glorennec, P.-Y., Delyon, B., Hjalmarsson, H. and Juditsky,A., 1995, Automatica, 31, 1691-1724.
30. Giulini, S. and Sanguineti, M., 2000, Proceedings of International Joint Conference on Neural Networks, Vol. 1, pp. 1283-1288.
31. Kushner, H.J. and Yin, G.G., 1997, Stochastic Approximation Algorithms and Applications (New York: Springer Verlag).
32. Srinivasan, B., Prasad, U.R. and Rao, N.J., 1994, IEEE Transactions on Neural Networks, 5(2), 213-228.
33. Rumelhart, D.E., Hinton, G.E. and Williams, R.J., 1986, In: D.E. Rumelhart, J.L. McClelland and the PDP Research Group (Eds) Parallel Distributed Processing: Explorations in the Micro structures of Cognition (Cambridge, MA: MIT).
34. Gelb, A., 1974, Applied Optimal Estimation (Reading, MA: MIT Press).
35. Zhang, Q., Basseville, M. and Benveniste, A., 1994, Automatica, 30(1), 95-113.
36. Parthasarathy, T., 1983, On Global Univalence Theorems, Lecture Notes in Mathematics (Berlin: Springer Verlag).
37. Rudin, W., 1976, Principles of Mathematical Analysis (Singapore: McGraw-Hill).