Conjugate points for calculus of variations with inequality state constraints
Hidefumi Kawasaki, Vera M. Zeidan · Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) · 2003
Variational problems with inequality state constraints are considered. The theory of conjugate points for these problems is developed, and necessary conditions for weak local optimality are derived in terms of this concept and the Legendre condition. The envelope-like effect is taken into consideration in the accessory problem.