Optimal control problems via a direct method

@article{Nistri1991OptimalCP,
  title={Optimal control problems via a direct method},
  author={Paolo Nistri},
  journal={Annali di Matematica Pura ed Applicata},
  year={1991},
  volume={159},
  pages={295-314}
}
SummaryIn this paper we deal with the minimization problem of a cost functional associated to a nonlinear boundary value control problem of a general form, defined in the fixed time interval [0, 1]. Specifically, we first give conditions which ensure that the nonlinear boundary value control problem is solvable and we study the structure of the relative solution set. Then, based on the properties of this set, we establish conditions ensuring both the existence of quasisolutions and that of… CONTINUE READING