@misc{Osmolovskii_Nikolai_Simple_2013,
 author={Osmolovskii, Nikolai},
 copyright={Licencja Creative Commons Uznanie autorstwa 4.0},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2013},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={The paper considers optimal control problems with initial-final state equality and inequality constraints and moxed state-control equality constraints given by smooth functions. The mixed constraints satisfy the regularity assumption of linear independence of gradients with respect to the control. Simple proofs of second-order necessary conditions of Pontryagin minimum for broken extremals in these problems are presented.},
 type={Tekst},
 title={Simple Proofs of Second order Necessary Conditions for Broken Extremals},
 URL={http://www.rcin.org.pl/Content/104670/PDF/RB-2013-03.pdf},
 keywords={Optimal control, Optymalna kontrola, Warunek konieczny optymalności, Necessary optimality conditions},
}