ABSTRACT
Optimal control systems are of considerable practical and theoretical interest. Although solutions of certain optimal control problems have been known for many years, it is only recently that fairly general, rigorous solution techniques have been developed. Unfortunately, the computational aspects of these solution techniques still present formidable problems. The time-optimal problem which is treated in what follows has a very well developed theory. Our purpose here is to show the utility of hybrid computer techniques. Some of the programming procedures described may also be useful in the solution of other problems.
- J. P. LaSalle, "The Time Optimal Control Problem," Contributions to Theory of Non-linear Oscillations, vol. 5, Princeton Univ. Press. 1960.Google Scholar
- L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Interscience Publishers, New York, 1962.Google Scholar
- L. W. Neustadt, "Synthesizing Time Optimal Control Systems," Journal of Math. Analysis and Applications, vol. 1, pp. 484--493, 1960.Google ScholarCross Ref
- E. G. Gilbert and E. J. Fadden, article to appear.Google Scholar
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