Optimality conditions of singular controls for systems with Caputo fractional derivatives | Zendy

Shakir Sh. Yusubov | Zendy; Elimhan N. Mahmudov | Zendy

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Optimality conditions of singular controls for systems with Caputo fractional derivatives

Author(s) -

Shakir Sh. Yusubov,

Elimhan N. Mahmudov

Publication year - 2021

Publication title -

journal of industrial and management optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 32

eISSN - 1553-166X

pISSN - 1547-5816

DOI - 10.3934/jimo.2021182

Subject(s) - pontryagin's minimum principle , optimal control , mathematics , maximum principle , nonlinear system , fractional calculus , order (exchange) , state (computer science) , dynamical systems theory , mathematical optimization , physics , algorithm , finance , quantum mechanics , economics

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.

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