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] 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
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