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A discrete optimal control problem

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2 Author(s)
J. Pearson ; Rice University, Houston, TX, USA ; R. Sridhar

A certain class of discrete optimization problems is investigated using the framework of nonlinear programming. It is shown that a discrete maximum principle similar to the Pontryagin maximum principle is valid for a subclass of these problems, specifically systems with linear dynamics, convex inequality constraints and convex performance criteria. This result extends the applicability of the discrete maximum principle to a class of problems not covered by the Rozonoer-Halkin formulation.

Published in:

IEEE Transactions on Automatic Control  (Volume:11 ,  Issue: 2 )