Cover: Some aspects of the mathematical theory of control processes

Some aspects of the mathematical theory of control processes

by Richard Ernest Bellman, Irving Leonard Glicksberg, Oliver Alfred Gross

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback263 pages $55.00 $44.00 20% Web Discount

A presentation of (1) various representative mathematical problems that arise in the modern theory of the control of economic, industrial, engineering, and military systems, and (2) the types of mathematical theories and techniques that can be used to treat these problems. These problems are variational in the sense that the aim is to maximize or minimize some function which is being used as a criterion of the performance of the system under consideration. What distinguishes these problems form those encountered in the classical calculus of variations is the presence of constraints of physical origin, the consideration of random effects, or, alternatively, the introduction of the theory of games, and finally, the emphasis on computational solution. An attempt is make to indicate the new types of mathematical problems that have arisen from the more realistic description of old problems and from the pressure of new problems, and to illustrate the applicability of a wide variety of mathematical tools to their solution. 263 pp.

This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit

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.