Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Elimhan N. Mahmudov

doi:10.1007/s10883-017-9361-z

Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Elimhan N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Azerbaijan National Academy of Sciences

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

5 Atıf (Scopus)

Özet

The present paper deals with the optimal control theory given by second-order differential inclusions (P_C) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t₁-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	129-143
Sayfa sayısı	15
Dergi	Journal of Dynamical and Control Systems
Hacim	24
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s10883-017-9361-z
Yayın durumu	Yayınlandı - 1 Oca 2018

Bibliyografik not

Publisher Copyright:
© 2017, Springer Science+Business Media New York.

Belgeye Erişim

10.1007/s10883-017-9361-z

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints",

abstract = "The present paper deals with the optimal control theory given by second-order differential inclusions (PC) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t1-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.",

keywords = "Attainability, Differential inclusion, Euler-Lagrange, Free time, Second order",

author = "Mahmudov, \{Elimhan N.\}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media New York.",

year = "2018",

month = jan,

day = "1",

doi = "10.1007/s10883-017-9361-z",

language = "English",

volume = "24",

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journal = "Journal of Dynamical and Control Systems",

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TY - JOUR

T1 - Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

AU - Mahmudov, Elimhan N.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The present paper deals with the optimal control theory given by second-order differential inclusions (PC) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t1-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.

AB - The present paper deals with the optimal control theory given by second-order differential inclusions (PC) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t1-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.

KW - Attainability

KW - Differential inclusion

KW - Euler-Lagrange

KW - Free time

KW - Second order

UR - https://www.scopus.com/pages/publications/85014031535

U2 - 10.1007/s10883-017-9361-z

DO - 10.1007/s10883-017-9361-z

M3 - Article

AN - SCOPUS:85014031535

SN - 1079-2724

VL - 24

SP - 129

EP - 143

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 1

ER -

Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap