Accession Number : AD0616596

Title :   REDUCTION OF DIMENSIONALITY, DYNAMIC PROGRAMMING, AND CONTROL PROCESSES.

Descriptive Note : Rev. ed.,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bellman,Richard ; Kalaba,Robert

Report Date : 03 JUN 1960

Pagination or Media Count : 12

Abstract : A major difficulty in the way of a successful systematic approach to the study of control processes by way of the theory of dynamic programming is the occurrence of processes having state vectors of high dimension. 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 presented earlier 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 discussing control of a system involving a time lag and control of a thermal system.

Descriptors :   (*DYNAMIC PROGRAMMING, THEORY), (*TIME LAG THEORY, CONTROL), DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE