Optimal Control with Time Delays via the Penalty Method
Joint Authors
Benharrat, Mohammed
Torres, Delfim F. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative.
Then, a more general optimal control problem with time delays is considered.
Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.
American Psychological Association (APA)
Benharrat, Mohammed& Torres, Delfim F. M.. 2014. Optimal Control with Time Delays via the Penalty Method. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1044127
Modern Language Association (MLA)
Benharrat, Mohammed& Torres, Delfim F. M.. Optimal Control with Time Delays via the Penalty Method. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1044127
American Medical Association (AMA)
Benharrat, Mohammed& Torres, Delfim F. M.. Optimal Control with Time Delays via the Penalty Method. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1044127
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044127