Large scale parameter estimation using sparse nonlinear programming methods

SIAM Journal on Optimization

Volumn 14, Issue 1, 2004, Pages 223-244

  Betts, John T ^a   Huffman, William P ^a  

^a BOEING COMPANY   (United States)

Author keywords

Inverse problems; Parameter estimation; Sparse nonlinear programming

Indexed keywords

EID: 1542321061     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623401399216     Document Type: Article

References (11)

1. J. T. BETTS, Practical Methods for Optimal Control Using Nonlinear Programming, Adv. Des. Control 3, SIAM, Philadelphia, 2001.
2. J. T. BETTS, M. J. CARTER, AND W. P. HUFFMAN, Software for Nonlinear Optimization, Mathematics and Engineering Analysis Library Report MEA-LR-83 R1, Boeing Information and Support Services, The Boeing Company, Seattle, WA, 1997.
3. J. T. BETTS AND P. D. FRANK, A sparse nonlinear optimization algorithm, J. Optim. Theory Appl., 82 (1994), pp. 519-541.
4. J. T. BETTS AND W. P. HUFFMAN, Sparse Optimal Control Software double struck S sign double struck O sign ℂ double struck S sign, Mathematics and Engineering Analysis Technical Document MEA-LR-085, Boeing Information and Support Services, The Boeing Company, Seattle, WA, 1997.
5. R. BULIRSCH, Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertproblemen und Aufgaben der optimalen Steuerung, Report of the Carl-Cranz Gesellschaft, Carl-Cranz Gesellschaft, Oberpfaffenhofen, Germany, 1971.
6. P. J. ENRIGHT AND B. A. CONWAY, Discrete approximations to optimal trajectories using direct transcription and nonlinear programming, AIAA Journal of Guidance, Control, and Dynamics, 15 (1992), pp. 994-1002.
7. H. G. BOCK, Recent advances in parameter identification techniques for O.D.E., in Numerical Treatment of Inverse Problems in Differential and Integral Equations, P. Deuflhard and E. Hairer, eds., Birkhäuser Verlag, Heidelberg, 1982, pp. 95-121.
8. E. HAIRER, S. P. NORSETT, AND G. WANNER, Solving Ordinary Differential Equations I. Non-stiff Problems, Springer-Verlag, New York, 1993.
9. C. R. HARGRAVES AND S. W. PARIS, Direct trajectory optimization using nonlinear programming and collocation, AIAA Journal of Guidance, Control, and Dynamics, 10 (1987), pp. 338-342.
10. K. SCHITTKOWSKI, Parameter estimation in dynamic systems, in Progress in Optimization, X. Yang, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000, pp. 183-204.
11. O. VON STRYK, Numerical solution of optimal control problems by direct collocation, in Optimal Control, Internat. Ser. Numer. Math. 111, R. Bulirsch, A. Miele, J. Stoer, and K. H. Well, eds., Birkhäuser Verlag, Basel, 1993, pp. 129-143.