@ARTICLE{Kamocki_Rafał_Existence_2022, author={Kamocki, Rafał}, volume={vol. 32}, number={No 2}, journal={Archives of Control Sciences}, pages={279-303}, howpublished={online}, year={2022}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={In this article we focus on optimal control problems involving a nonlinear fractional control system of different orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor fields combined with Filippov’s approach, we derive an existence result for at least one optimal solution for such a problem.}, type={Article}, title={Existence of optimal control for multi-order fractional optimal control problems}, URL={http://sd.czasopisma.pan.pl/Content/123554/PDF-MASTER/art03_int.pdf}, doi={10.24425/acs.2022.141713}, keywords={existence of optimal control, multi-order fractional control system, lower closure theorem}, }