Sufficiency for Optimal Control Problems Involving Parameters

D. G. Hull
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D. G. Hull: University of Texas

Journal of Optimization Theory and Applications, 1998, vol. 97, issue 3, No 3, 579-590

Abstract: Abstract The optimal control problem is extended to the case where the performance index, the differential constraints, and the prescribed final conditions contain parameters. The sufficient condition for a minimum is derived for nonsingular problems using the sweep method. As expected, it involves the finiteness of a matrix or the location of the conjugate point. The minimum-time navigation problem is solved as a fixed final time problem to illustrate the application of the theory.

Keywords: Optimal control theory; second variation; sufficient conditions (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022638025267

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