Reduction of dimensionality, dynamic programming, and control processes.

by Richard Ernest Bellman, Robert E. Kalaba


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback12 pages $15.00 $12.00 20% Web Discount

A discussion of the occurrence of processes having state vectors of high dimension, a major difficulty in achieving a successful systematic approach to the study of control processes by means of dynamic-programming theory. However difficult the problem is for systems ruled by a finite set of differential equations, it is several orders of magnitude more complex for systems of infinite dimensionality and for systems with time lags. By combining a technique for dealing with finite- dimensional systems and various methods of successive approximations and quasilinearization, certain classes of control processes associated with infinite dimensional systems can be treated. The ideas are illustrated by examining not only the control of a system involving a time lag, but also the control of a thermal system. 12 pp.

This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.