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Summary and comparison of several gradient-restoration algorithms for optimal control problems. (English) Zbl 0233.49009


MSC:

49M99 Numerical methods in optimal control
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[1] Miele, A., Pritchard, R. E., andDamoulakis, J. N.,Sequential Gradient-Restoration Algorithm for Optimal Control Problems, Journal of Optimization Theory and Applications, Vol. 5, No. 4, 1970. · Zbl 0192.51802
[2] Miele, A.,Combined Gradient-Restoration Algorithm for Optimal Control Problems, Rice University, Aero-Astronautics Report No. 91, 1971. · Zbl 0269.49043
[3] Miele, A.,Gradient Methods in Optimal Control Theory, Rice University, Aero-Astronautics Report No. 98, 1971. · Zbl 0269.49044
[4] Bliss, G. A.,Lectures on the Calculus of Variations, The University of Chicago Press, Chicago, 1946. · Zbl 0063.00459
[5] Hestenes, M. R.,Calculus of Variations and Optimal Control Theory, John Wiley and Sons, New York, 1966. · Zbl 0173.35703
[6] Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., andMishchenko, E. F.,The Mathematical Theory of Optimal Processes, John Wiley and Sons (Interscience Publishers), New York, 1962.
[7] Miele, A., Editor,Theory of Optimum Aerodynamic Shapes, Academic Press, New York, 1965. · Zbl 0265.76076
[8] Miele, A.,Method of Particular Solution for Linear, Two-Point Boundary-Value Problems, Journal of Optimization Theory and Applications, Vol. 2, No. 4, 1968. · Zbl 0176.04901
[9] Ralston, A.,Numerical Integration Methods for the Solution of Ordinary Differential Equations, Mathematical Methods for Digital Computers, Vol. 1, Edited by A. Ralston and H. S. Wilf, John Wiley and Sons, New York, 1960.
[10] Miele, A.,Iyer, R. R., andWell, K. H.,Modified Quasilinearization and Optimal Initial Choice of the Multipliers, Part 2, Optimal Control Problems, Journal of Optimization Theory and Applications, Vol. 6, No. 5, 1970. · Zbl 0192.51903
[11] Miele, A., Tietze, J. L., andLevy, A. V.,Comparison of Several Gradient Algorithms for Mathematical Programming Problems, Rice University, Aero-Astronautics Report No, 94, 1972. · Zbl 0276.65034
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