Conjugate Points for Variational Problems with Equality and Inequality State Constraints
Hidefumi Kawasaki, Vera M. Zeidan · SIAM Journal on Control and Optimization · 2000
In this paper, variational problems with equality and 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. For the case of inequality constraints, the envelope-like effect is taken into consideration in the accessory problem.