TY - JOUR
N2 - In this paper, we study the modern mathematical theory of the optimal control problem associated with the fractional Roesser model and described by Caputo partial derivatives, where the functional is given by the Riemann-Liouville fractional integral. In the formulated problem, a new version of the increment method is applied, which uses the concept of an adjoint integral equation. Using the Banach fixed point principle, we prove the existence and uniqueness of a solution to the adjoint problem. Then the necessary and sufficient optimality condition is derived in the form of the Pontryagin’s maximum principle. Finally, the result obtained is illustrated by a concrete example.
L1 - http://sd.czasopisma.pan.pl/Content/131939/art-2.pdf
L2 - http://sd.czasopisma.pan.pl/Content/131939
PY - 2024
IS - No 2
EP - 300
DO - 10.24425/acs.2024.149661
KW - fractional optimal control
KW - Pontryagin’s maximum principle
KW - Caputo derivative
KW - Roesser model
A1 - Yusubov, Shakir Sh.
A1 - Mahmudov, Elimhan N.
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 34
DA - 04.07.2024
T1 - Pontryagin’s maximum principle for the Roesser model with a fractional Caputo derivative
SP - 271
UR - http://sd.czasopisma.pan.pl/dlibra/publication/edition/131939
T2 - Archives of Control Sciences
ER -