Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Notes on control processes. I. On the minimum of maximum deviation

Author: Richard Bellman
Journal: Quart. Appl. Math. 14 (1957), 419-423
MSC: Primary 34.0X
DOI: https://doi.org/10.1090/qam/82593
MathSciNet review: 82593
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Abstract: The functional equation technique of the theory of dynamic programming is applied to the problem of determining the minimum of the maximum deviation of a system from a preassigned state.

References [Enhancements On Off] (What's this?)

  • [1] R. Bellman, The theory of dynamic programming, Bull. Am. Math. Soc. 60, 503-516 (1954) MR 0067459
  • [2] R. Bellman, On a class of variational problems, Quart. Appl. Math. (to appear) MR 0082622
  • [3] R. Bellman, I. Glicksberg, and O. Gross, On the 'bang-bang' control problem, Quart. Appl. Math. (to appear) MR 0078516
  • [4] R. Bellman, I. Glicksberg, and O. Gross, Some non-classical problems in the calculus of variations, Proc. Am. Math. Soc. (to appear) MR 0075467

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DOI: https://doi.org/10.1090/qam/82593
Article copyright: © Copyright 1957 American Mathematical Society

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