TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/123554/PDF/art03_int.pdf L2 - http://www.czasopisma.pan.pl/Content/123554 PY - 2022 IS - No 2 EP - 303 DO - 10.24425/acs.2022.141713 KW - existence of optimal control KW - multi-order fractional control system KW - lower closure theorem A1 - Kamocki, Rafał PB - Committee of Automatic Control and Robotics PAS VL - vol. 32 DA - 2022.06.29 T1 - Existence of optimal control for multi-order fractional optimal control problems SP - 279 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/123554 T2 - Archives of Control Sciences ER -