Abstract
The first part reports an experiment in which a graphic interactive console was used to operate a gradient-type optimization program.
Some indications are provided on the program sturcture and the requirements for the graphic software. Conclusions are drawn both upon advantages and difficulties related to such project.
The second part deals with parameterization of optimal control problems (i.e. solution through non-linear programming). A local measure of the loss of freedom pertaining to such technique is established. Minimization of this loss leads to the concept of optimal parameterization. A first result is given and concerns the metric in parameters space.
The presence of a graphic package together with an already voluminous computing program results in a quite
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References
Part 1
FAVE, J. — Critère de convergence par approximation de l'optimum pour la méthode du gradient, in computing methods in optimization problems, springer verlag 1969, p. 101–113 (proceedings of the 2nd International Conference on Computational methods and optimization problems, San Remo, sept. 1968).
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Part 2
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SPEYER, J.L., KELLEY, H.J., LEVINE, N., DENHAM, W.F. — Accelerated gradient projection technique with application to rocket trajectory optimization. Automatica, vol. 7, p. 37–43, 1971.
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© 1973 Springer-Verlag Berlin Heidelberg
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Peltier, JP. (1973). Parameterization and graphic aid in gradient methods. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part I. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06583-0_51
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DOI: https://doi.org/10.1007/3-540-06583-0_51
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