@ARTICLE{Yusubov_Shakir_Sh._Necessary_2023,
 author={Yusubov, Shakir Sh. and MahmudoV, Elimhan N.},
 volume={vol. 33},
 number={No 3},
 journal={Archives of Control Sciences},
 pages={463–496},
 howpublished={online},
 year={2023},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introduced and, on this basis, an analogue of the Legendre-Clebsch conditions is obtained. When the analogue of Legendre- Clebsch condition degenerates, a necessary high-order optimality condition is derived. An illustrative example is considered.},
 type={Article},
 title={Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives},
 URL={http://www.czasopisma.pan.pl/Content/128377/PDF-MASTER/art01_int.pdf},
 doi={10.24425/acs.2023.146955},
 keywords={fractional derivative, fractional optimal control, necessary optimality condition},
}