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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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An extension of Ascoli’s theorem and its applications to the theory of optimal control
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by S. S. L. Chang PDF
Trans. Amer. Math. Soc. 115 (1965), 445-470 Request permission
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
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Additional 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