Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equations

• Autorzy: Leiva Hugo

Identyfikatory

DOI

10.7862/rf.2023.2

• Języki publikacji: EN

Abstrakty

EN

In this paper, we derive the Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equations. Our method is based on Dubovitskii-Milyutin theory, but in doing so, we assumed that the linear variational impulsive differential equation around the optimal solution is exactly controllable, which can be satisfied in many cases. Then, we consider an example as an application of the main result. After that, we study the case when the differential equation is of neutral type. Finally, several possible problems are proposed for future research where the differential equation, the constraints, the time scale, the impulses, etc. are changed.

Słowa kluczowe

EN

Pontryagin maximum principle; optimal control problem; nonlinear impulsive differential equation; Dubovitskii-Milyutin theory; variational impulsive differential equation

PL

zasada maksimum Pontryagina; sterowanie optymalne; równanie różniczkowe; teoria Dubowickiego-Milutina

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2023
• Tom: Vol. 46
• Strony: 15--68
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Leiva Hugo

• School of Mathematical and Computational Sciences, Yachay Tech, Ibarra, Imbabura, Ecuador

• https://orcid.org/0000-0002-3521-6253

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).