TY - JOUR
T1 - OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES
AU - Yusubov, Shakir Sh
AU - Mahmudov, Elimhan N.
N1 - Publisher Copyright:
© 2023, Journal of Industrial and Management Optimization. All Rights Reserved.
PY - 2023/1
Y1 - 2023/1
N2 - In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.
AB - In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.
KW - Fractional derivative
KW - Optimal control
KW - Pontryagin maximum principle
KW - Representation formula
KW - Second-order necessary condition
UR - http://www.scopus.com/inward/record.url?scp=85138169686&partnerID=8YFLogxK
U2 - 10.3934/jimo.2021182
DO - 10.3934/jimo.2021182
M3 - Article
AN - SCOPUS:85138169686
SN - 1547-5816
VL - 19
SP - 246
EP - 264
JO - Journal of Industrial and Management Optimization
JF - Journal of Industrial and Management Optimization
IS - 1
ER -