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OPTIMAL CONTROL WITH NONREGULAR MIXED CONSTRAINTS: AN OPTIMIZATION APPROACH

Title
OPTIMAL CONTROL WITH NONREGULAR MIXED CONSTRAINTS: AN OPTIMIZATION APPROACH
Type
Article in International Scientific Journal
Year
2021
Authors
J. A. Becerril
(Author)
Other
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Maria do Rosário de Pinho
(Author)
FEUP
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Journal
Vol. 59
Pages: 2093-2120
ISSN: 0363-0129
Other information
Authenticus ID: P-00V-9BG
Abstract (EN): We derive necessary conditions for optimality for control problems with smooth mixed constraints in the absence of regularity conditions. We show that the lack of regularity is reflected by the appearance of purely finitely additive set functions as multipliers corresponding to the mixed constraints. We illustrate with examples the rule of such set functions. Additionally, we show how our approach allows to treat regular mixed constraints and pure state constraints as particular cases; for the latter, we also provide a connection to well-established results involving only countably additive measures.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 28
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