Dynamic Programming and a Distributed Parameter Maximum Principle

[+] Author and Article Information
W. L. Brogan

Electronics Division, Aerospace Corporation, Los Angeles, Calif.

J. Basic Eng 90(2), 152-156 (Jun 01, 1968) (5 pages) doi:10.1115/1.3605073 History: Received March 17, 1967; Online November 03, 2011


A proof of a distributed parameter maximum principle is given by using dynamic programming. An example problem involving a nonhomogeneous boundary condition is also treated by using the dynamic programming technique and by extending the definition of the differential operator. It is thus demonstrated that for linear systems the dynamic programming approach is just as powerful as the variational approach originally used to derive the maximum principle.

Copyright © 1968 by ASME
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