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
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
- [1] Richard Bellman, The theory of dynamic programming, Bull. Amer. Math. Soc. 60 (1954), 503–515. MR 0067459, https://doi.org/10.1090/S0002-9904-1954-09848-8
- [2] Richard Bellman, On a class of variational problems, Quart. Appl. Math. 14 (1957), 353–359. MR 0082622, https://doi.org/10.1090/S0033-569X-1957-82622-6
- [3] R. Bellman, I. Glicksberg, and O. Gross, On the “bang-bang” control problem, Quart. Appl. Math. 14 (1956), 11–18. MR 0078516, https://doi.org/10.1090/S0033-569X-1956-78516-4
- [4] Richard Bellman, Irving Glicksberg, and Oliver Gross, Some nonclassical problems in the calculus of variations, Proc. Amer. Math. Soc. 7 (1956), 87–94. MR 0075467, https://doi.org/10.1090/S0002-9939-1956-0075467-5
Retrieve articles in Quarterly of Applied Mathematics with MSC: 34.0X
Retrieve articles in all journals with MSC: 34.0X
Additional Information
DOI:
https://doi.org/10.1090/qam/82593
Article copyright:
© Copyright 1957
American Mathematical Society
