- Biesinger, Z, Powell, J, Bentz, B, and Logan, J, 2000. Direct and indirect parameterization of a localized model for the mountain pine beetle-lodgepole pine system, Ecological Modelling 129 (2000), pp. 273–296.
- Cropper, WP, and Anderson, PJ, 2004. Population dynamics of a tropical palm: use of a genetic algorithm for inverse parameter estimation, Ecological Modelling 177 (2004), pp. 119–127.
- Mulder, JA, Chu, QP, Sridhar, JK, Breeman, JH, and Laban, M, 1999. Non-linear aircraft flight path reconstruction review and new advances, Progress in Aerospace Sciences 35 (1999), pp. 673–726.
- Liaqat, A, Fukuhara, M, and Takeda, T, 2003. Optimal estimation of parameters of dynamical systems by neural network collocation method, Computer Physics Communications 150 (2003), pp. 215–234.
- Chen, Y, Wen, C, Xu, J-X, and Sun, M, 1996. "Extracting projectile's aerodynamic drag coefficient curve via high-order iterative learning identification". In: Proceedings of the 35th IEEE Conference on Decision and Control. 1996. pp. 3070–3071, Dec. 1996.
- Coca, D, and Billings, SA, 1999. A direct approach to identification of nonlinear differential models from discrete data, Mechanical Systems and Signal Processing 13 (1999), pp. 739–755.
- Mehrvar, M, Anderson, WA, Moo-Young, M, and Reilly, PM, 2000. Non-linear parameter estimation for a dynamical model in photocatalytic reaction engineering, Chemical Engineering Science 55 (2000), pp. 4885–4891.
- Murakami, K, and Seborg, DE, 2000. Constrained parameter estimation with applications to blending operations, Journal of Process Control 10 (2000), pp. 195–202.
- Robertson, DG, and Lee, JH, 2002. On the use of constraints in least squares estimation and control, Automatica 38 (2002), pp. 1113–1123.
- Wang, Q-G, Bi, Q, and Zou, B, 1996. Parameter identification of continuous-time mechanical systems without sensing accelerations, Computers in Industry 28 (1996), pp. 207–217.
- Stortelder, WJH, 1996. Parameter estimation in dynamic systems, Mathematics and Computers in Simulation 42 (1996), pp. 135–142.
- Vechani, P, Rengaswamy, R, and Venkatasubramanian, V, 2001. A framework for integrating diagnostic knowledge with nonlinear optimization for data reconciliation and parameter estimation in dynamic systems, Chemical Engineering Science 56 (2001), pp. 2133–2148.
- Liebman, MJ, Edgar, TF, and Lasdon, L, 1992. Efficient data reconciliation and estimation for dynamic processes using nonlinear programming techniques, Computers & Chemical Engineering 16 (1992), pp. 963–986.
- Boyd, JP, 2000. Chebyshev and Fourier Spectral Methods. New York. 2000.
- Betts, JT, and Frank, PD, 2003. Large scale parameter estimation using sparse nonlinear programming methods, SIAM Journal of Optimization 14 (2003), pp. 223–244.
- Betts, JT, 2001. Practical Methods for Optimal Control using Nonlinear Programming. Philadelphia. 2001.
- Enright, PJ, and Conway, BA, 1992. Discrete approximations to optimal trajectories using direct transcription and nonlinear programming, Journal of Guidance, Control, and Dynamics 15 (1992), pp. 994–1002.
- Hargraves, CR, and Paris, SW, 1987. Direct trajectory optimization using nonlinear programming and collocation, Journal of Guidance, Control, and Dynamics 10 (1987), pp. 338–342.
- Herman, AL, and Conway, BA, 1996. Direct optimization using collocation based on high-order Gauss–Lobatto quadrature rules, Journal of Guidance, Control, and Dynamics 19 (1996), pp. 592–599.
- Elnagar, G, Kazemi, MA, and Razzaghi, M, 1995. The Legendre pseudospectral method for discretizing optimal control problems, IEEE Transactions on Automatic Control 40 (1995), pp. 1793–1796.
- Ross, IM, and Fahroo, F, 2003. Legendre pseudospectral approximations of optimal control problems, Lecture Notes on Information and Control 295 (2003), pp. 327–342.
- von Stryck, O, 1993. "Numerical solution of optimal control problems by direct collocation". In: Optimal Control – Calculus of Variations, Optimal Control Theory and Numerical Methods. Berlin. 1993. p. pp. 129–143, In: R. Burlische, A. Miele, J. Stoer and K.-H. Well (Eds).
- Gill, PE, Murray, W, and Saunders, MA, 2002. SNOPT: an SQP algorithm for large-scale constrained optimization, SIAM Journal of Optimization 12 (2002), pp. 979–1006.
- Williams, P, 2004. Jacobi pseudospectral method for solving optimal control problems, Journal of Guidance, Control, and Dynamics 27 (2004), pp. 293–297.
- Golub, GH, and Welsch, JH, 1969. Calculation of Gauss quadrature rules, Mathematics of Computation 23 (1969), pp. 221–230.
- Ross, IM, and Fahroo, F, 2002. "A perspective on methods for trajectory optimization". In: Proceedings of the AIAA/AAS Astrodynamics Specialist Conference. Monterey, CA. 2002. p. AIAA-2002-4727.
- Murray, RM, Li, Z, and Sastry, SS, 1994. A Mathematical Introduction to Robotic Manipulation. Boca Raton. 1994.
- Betts, JT, and Frank, PD, 1994. A sparse nonlinear optimization algorithm, Journal of Optimization Theory and Applications 82 (1994), pp. 519–541.
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Optimal parameter estimation of dynamical systems using direct transcription methods
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