Sufficient optimality conditions for nonconvex control problems with state constraints
The sufficient optimality conditions of \textit{V. Zeidan} [Appl. Math. Optimization 11, 209-226 (1984; Zbl 0558.49006); and Trans. Am. Math. Soc. 275, 561-586 (1983; Zbl 0513.49010)] for optimal control problems are generalized such that they are applicable to problems with pure state-variable inequality constraints. We derive conditions which do neither assume the concavity of the Hamiltonian nor the quasiconcavity of the constraints. Global as well as local optimality conditions are presented.
scientific article; zbMATH DE number 4062010