Another Jacobi sufficiency criterion for optimal control with smooth constraints
In order to tighten the gap between necessary and sufficient conditions, new second-order sufficient conditions are developed for optimal control problems, where the control set is given by smooth functions. When the control set if polyhedral, our criterion generalizes prior results of the same kind [see the second author, Appl. Math. Optimization 11, 209-226 (1984; Zbl 0558.49006), SIAM J. Control Optimization 22, 294-301 (1984; Zbl 0535.49014), and Decision and Control, Proc. 22th IEEE Conf., San Antonio/Texas 1983, Vol. 1, 379-383 (New York 1983)], namely, the Jacobi criterion in Hamiltonian form and that in Lagrangian form.
scientific article; zbMATH DE number 4024129
scientific article