@misc{Malanowski_Kazimierz._Autor_First_2005, author={Malanowski, Kazimierz. Autor}, copyright={Licencja Creative Commons Uznanie autorstwa 4.0}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2005}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={First and second order optimality conditions for nonlinear optimal control problems, subject to mixed control state and and pure state constraints of order one, are con­sidered. It is shown that, under the introduced constraints qualifications, a normal Lagrane multiplier exists, is unique and regular. Second order optimality conditions, both sufficient and necessary are derived. In each case strongly active constraints are taken into account.}, type={Tekst}, title={First and second order optimality conditions for state constrained optimal control problems}, keywords={Optimal control, Second order sufficient conditions, Nonlinear ordinary differential equations}, }