Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

E. N. Mahmudov

doi:10.1007/s10883-009-9073-0

Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

E. N. Mahmudov

Matematik Bölümü

Azerbaijan National Academy of Sciences

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

24 Atıf (Scopus)

Özet

Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ ₂ and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	587-610
Sayfa sayısı	24
Dergi	Journal of Dynamical and Control Systems
Hacim	15
Basın numarası	4
DOI'lar	https://doi.org/10.1007/s10883-009-9073-0
Yayın durumu	Yayınlandı - Eki 2009

Belgeye Erişim

10.1007/s10883-009-9073-0

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Optimal control of Cauchy problem for first-order discrete and partial differential inclusions",

abstract = "Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ 2 and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.",

keywords = "Approximation, Cauchy problem, Improper integral, Locally conjugate, Set-valued",

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

year = "2009",

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doi = "10.1007/s10883-009-9073-0",

language = "English",

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pages = "587--610",

journal = "Journal of Dynamical and Control Systems",

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TY - JOUR

T1 - Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

AU - Mahmudov, E. N.

PY - 2009/10

Y1 - 2009/10

N2 - Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ 2 and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.

AB - Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ 2 and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.

KW - Approximation

KW - Cauchy problem

KW - Improper integral

KW - Locally conjugate

KW - Set-valued

UR - https://www.scopus.com/pages/publications/70449526648

U2 - 10.1007/s10883-009-9073-0

DO - 10.1007/s10883-009-9073-0

M3 - Article

AN - SCOPUS:70449526648

SN - 1079-2724

VL - 15

SP - 587

EP - 610

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap