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Pontryagin's maximum principle for constrained impulsive control problems

Title
Pontryagin's maximum principle for constrained impulsive control problems
Type
Article in International Scientific Journal
Year
2012
Authors
Arutyunov, AV
(Author)
Other
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Yu. Y Karamzin
(Author)
Other
The person does not belong to the institution. The person does not belong to the institution. The person does not belong to the institution. Without AUTHENTICUS Without ORCID
Journal
Vol. 75
Pages: 1045-1057
ISSN: 0362-546X
Publisher: Elsevier
Indexing
Scientific classification
FOS: Natural sciences > Mathematics
CORDIS: Technological sciences
Other information
Authenticus ID: P-002-DRZ
Abstract (EN): Necessary conditions in the form of Pontryagin's maximum principle are derived for impulsive control problems with mixed constraints. A new mathematical concept of impulsive control is introduced as a requirement for the consistency of the impulsive framework. Additionally, this control concept enables the incorporation of the engineering needs to consider conventional control action while the impulse develops. The regularity assumptions under which the maximum principle is proved are weaker than those in the known literature. Ekeland's variational principle and Lebesgue's discontinuous time variable change are used in the proof. The article also contains an example showing how such impulsive controls could be relevant in actual applications.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 13
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