An extension of Ascoli’s theorem and its applications to the theory of optimal control
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- by S. S. L. Chang
- Trans. Amer. Math. Soc. 115 (1965), 445-470
- DOI: https://doi.org/10.1090/S0002-9947-1965-0195612-0
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References
- R. V. Gamkrelidze, Optimal control processes for bounded phase coordinates, Izv. Akad. Nauk SSSR Ser. Mat. 24 (1960), 315–356 (Russian). MR 0120438 S. S. L. Chang, Minimal time control with multiple saturation limits, IEEE Trans. Automatic Control AC-8 (1963), 35-42.
- V. G. Boltjanskiĭ, R. V. Gamkrelidze, and L. S. Pontryagin, Theory of optimal processes. I. The maximum principle, Izv. Akad. Nauk SSSR Ser. Mat. 24 (1960), 3–42 (Russian). MR 0120437
- R. V. Gamkrelidze, Theory of processes in linear systems which are optimal with respect to rapidity of action, Izv. Akad. Nauk SSSR Ser. Mat. 22 (1958), 449–474 (Russian). MR 0097571
- L. Markus and E. B. Lee, On the existence of optimal controls, Trans. ASME Ser. D. J. Basic Engrg. 84 (1962), 13–22. MR 133564, DOI 10.1115/1.3657236
- Lawrence M. Graves, The theory of functions of real variables, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. 2d ed. MR 0075256
- M. E. Munroe, Introduction to measure and integration, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1953. MR 0053186 —, Introduction to measure and integration, Addison-Wesley, Reading, Mass., 1959; p. 222.
- Lawrence M. Graves, The theory of functions of real variables, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. 2d ed. MR 0075256
- Lawrence M. Graves, The theory of functions of real variables, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. 2d ed. MR 0075256
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 115 (1965), 445-470
- MSC: Primary 93.40
- DOI: https://doi.org/10.1090/S0002-9947-1965-0195612-0
- MathSciNet review: 0195612