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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i6.40
pages 34-50

On Solvability of a Vector Optimization Problem with State Constraints

Vladimir N. Bogomaz
Oles Honchar Dnepropetrovsk National University
Peter I. Kogut
Oles Honchar Dnepropetrovsk National University

要約

Vector optimization problem for dynamic objects with state and control constraints are considered. The existence of optimal solutions to this problem is established. Regularization approach to the state and control constraints is proposed. The main results are illustrated by the examples.

参考

  1. Kogut P.I., Manzo R., Nechay I. , On existence of efficient solutions to vector optimization problems in Banach spaces.

  2. Buttazzo G., Giaquinta M., Hildebrant S. , One-dimensional variational problems [Russian translation].

  3. Fillipov A.I. , Differential equations with discontinuous right-hand side [in Russian].

  4. Krasnoselskiy G.A., Lifshits E.A., Sobolev A.V. , Positive linear systems. Method of positive operators [in Russian].

  5. Bogomaz V.N. , On one optimization problem of mechanical vibrosystem.

  6. Kogut P.I., Manzo R., Nechay I.V. , Topological aspects of scalarization in vector optimization problems.


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