A note on Jacobson's necessary condition for an optimal singular control

A note on Jacobson's necessary condition for an optimal singular control

An example is used to show why some solutions to singular optimal control problems satisfy the generalized Legendre-Clebsch condition, but violate Jacobson's necessary condition. This example also demonstrates that Jacobson's condition may help in establishing if and when switching from a...

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Veröffentlicht in:IEEE transactions on automatic control 1971-02, Vol.16 (1), p.107-108
Hauptverfasser: Anderson, G., Jacobson, D.
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Equations
Jacobian matrices
Optimal control
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Beschreibung
Zusammenfassung:An example is used to show why some solutions to singular optimal control problems satisfy the generalized Legendre-Clebsch condition, but violate Jacobson's necessary condition. This example also demonstrates that Jacobson's condition may help in establishing if and when switching from a singular to a nonsingular subarc occurs in some problems.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1971.1099619