On the Computation of Singular Controls

We consider singular optimal control problems consisting of a state equation x dot = Ax + Bu for vectors x and scalars u and a cost functional to be minimized. Singular perturbation concepts can be used to compute solutions consisting of bang-bang controls followed by singular arcs. Prepared in coop...

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Hauptverfasser:	Flaherty,Joseph E, O'Malley,Robert E , Jr
Format:	Report
Sprache:	eng
Schlagworte:	ALGORITHMS ASYMPTOTIC SERIES COMPUTATIONS CONTROL THEORY COSTS EIGENVALUES FUNCTIONAL ANALYSIS Operations Research OPTIMIZATION PE61102F PERTURBATIONS PULSE MODULATION Singular optimal control SOLUTIONS(GENERAL) State equations WUAFOSR2304A3
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Zusammenfassung:	We consider singular optimal control problems consisting of a state equation x dot = Ax + Bu for vectors x and scalars u and a cost functional to be minimized. Singular perturbation concepts can be used to compute solutions consisting of bang-bang controls followed by singular arcs. Prepared in cooperation with Arizona Univ., Tucson. Dept. of Mathematics, Contract N00014-76-C-0326.