@ARTICLE{Chiranjeevi_Tirumalasetty_On_2021,
 author={Chiranjeevi, Tirumalasetty and Biswas, Raj Kumar and Devarapalli, Ramesh and Babu, Naladi Ram and García Márquez, Fausto Pedro},
 volume={vol. 31},
 number={No 4},
 journal={Archives of Control Sciences},
 pages={849-863},
 howpublished={online},
 year={2021},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.},
 type={Article},
 title={On optimal control problem subject to fractional order discrete time singular systems},
 URL={http://www.czasopisma.pan.pl/Content/121919/PDF/art05.pdf},
 doi={10.24425/acs.2021.139733},
 keywords={fractional optimal control problem, discrete time singular system, fractional derivative, Hamiltonian technique},
}