Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives

Autor:	Shakir Sh. Yusubov, Elimhan N. MahmudoV
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional derivative fractional optimal control necessary optimality condition Information technology T58.5-58.64 Mathematics QA1-939
Zdroj:	Archives of Control Sciences, Vol vol. 33, Iss No 3 (2023)
Druh dokumentu:	article
ISSN:	1230-2384
DOI:	10.24425/acs.2023.146955
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/26b7f76b612441f69b076ed3042f0f5e Zobrazit plný text záznamu View record in DOAJ