Title :
On conditions of optimality for singular control problems
Author_Institution :
Harvard University, Cambridge, MA, USA
fDate :
2/1/1970 12:00:00 AM
Abstract :
Satisfaction of the generalized Legendre-Clebsch condition is known to be a necessary condition of optimality in singular control problems. Recently, a new additional necessary condition of optimality was discovered. In this note, we demonstrate by means of an example that together these two necessary conditions are, in general, insufficient for optimality in singular control problems.
Keywords :
Singular optimal control; Artificial intelligence; Automatic control; Control systems; Cost function; Differential equations; Dynamic programming; Lagrangian functions; Optimal control; Switches;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099361
