Passage to lagrange multipliers for determination of the high-order constant for Pontryagin minimum

E. S. Levitin, A. A. Milyutin, and N. P. Osmolovskii, "High-order conditions of local minimum in constrained problems," Usp. Mat. Nauk,33, No. 6, 85–148 (1978). A. Ya. Dubovitskii and A. A. Milyutin, "Constrained extremum problems," Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3, 395–453 (1965). A. V. Dmitruk, "Quadratic conditions of Pontryagin minimum in an optimal control problem linear in control with control constraints," Dokl. Akad. Nauk SSSR,272, No. 2, 285–289 (1983). A. V. Dmitruk, "Quadratic conditions of Pontryagin minimum in the optimal control problem linear in control. I. Evaluation theorem," Izv. Akad. Nauk SSSR, Ser. Mat.,50, No. 2, 284–312 (1986). A. V. Dmitruk, "Linearization of differential constraints in quadratic conditions for the optimal control problem linear in control," in: Optimality of Controlled Dynamic Systems [in Russian], No. 19, 12–20, VNIISI, Moscow (1988). J. L. Kelly, General Topology [Russian translation], Nauka, Moscow (1968). A. V. Dmitruk, "Maximum principle for the general optimal control problem with phase and regular mixed constraints," this volume.