Atıf İçin Kopyala
Mahmudov E.
APPLICABLE ANALYSIS, cilt.102, sa.17, ss.4717-4732, 2023 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
102
Sayı:
17
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Basım Tarihi:
2023
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Doi Numarası:
10.1080/00036811.2022.2136073
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Dergi Adı:
APPLICABLE ANALYSIS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Sayfa Sayıları:
ss.4717-4732
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Anahtar Kelimeler:
Endpoint constraints, Hamiltonian, necessary and sufficient, duality, support function, Euler-Lagrange, 2ND-ORDER, OPTIMIZATION, CONTROLLABILITY, EXISTENCE, DISCRETE
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İstanbul Teknik Üniversitesi Adresli:
Evet
Özet
The article considers a high-order optimal control problem and its dual problems described by high-order differential inclusions. In this regard, the established Euler-Lagrange type inclusion, containing the Euler-Poisson equation of the calculus of variations, is a sufficient optimality condition for a differential inclusion of a higher order. It is shown that the adjoint inclusion for the first-order differential inclusions, defined in terms of a locally adjoint mapping, coincides with the classical Euler-Lagrange inclusion. Then the duality theorems are proved.