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<h2>AAS 97-651</h2>
<h2>SUFFICIENCY FOR OPTIMAL CONTROL PROBLEMS INVOLVING PARAMETERS </h2>
<h4> D.G. Hull - The University of Texas </h4>
<h2> Abstract </h2>
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.