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RESEARCH PAPERS

Optimum Control of Distributed-Parameter Systems

[+] Author and Article Information
P. K. C. Wang, F. Tung

International Business Machines Corporation, San Jose Research Laboratory, San Jose, Calif.

J. Basic Eng 86(1), 67-79 (Mar 01, 1964) (13 pages) doi:10.1115/1.3653117 History: Received July 26, 1963; Online November 03, 2011

Abstract

This paper presents a general discussion of the optimum control of distributed-parameter dynamical systems. The main areas of discussion are: (a) The mathematical description of distributed parameter systems, (b) the controllability and observability of these systems, (c) the formulation of optimum control problems and the derivation of a maximum principle for a particular class of systems, and (d) the problems associated with approximating distributed systems by discretization. In order to illustrate the applicability of certain general results and manifest some of the properties which are intrinsic to distributed systems, specific results are obtained for a simple, one-dimensional, linear-diffusion process.

Copyright © 1964 by ASME
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