@misc{Malanowski_Kazimierz._Autor_A_2006, author={Malanowski, Kazimierz. Autor}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2006}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={In a series of the recent papers of the author, it was shown that, the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lip­schitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those condi­tions are not only sufficient, but also necessary. Thus, they constitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.}, title={A characterization of stability and sensitivity properties for state-constrained optimal control}, type={Text}, keywords={Optimal control, Nonlinear odes, State constraints, Parametric problems, Stability and sensitivity analysis, Analiza wrażliwości, Optymalna kontrola, Problemy parametryczne, Analiza stabilności i wrażliwości, Nieliniowe równanie różniczkowe zwyczajne, Analiza stabilności}, }