AAS 97-651
SUFFICIENCY FOR OPTIMAL CONTROL PROBLEMS INVOLVING PARAMETERS
D.G. Hull - The University of Texas
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.