Second-order necessary optimality conditions for an optimal control problem with nonlinear state equations
Second-order necessary optimality conditions are derived for an optimal control problem (OCP) with nonconvex cost function, nonlinear state equation and mixed constraints using tools from functional analysis. An example is given showing that if the second-order necessary condition is not satisfied, then the admissible couple is not a solution even it satisfies first-order necessary conditions.
scientific article; zbMATH DE number 7490114
scientific article