{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:05:56Z","timestamp":1772294756963,"version":"3.50.1"},"reference-count":13,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2014,9,2]],"date-time":"2014-09-02T00:00:00Z","timestamp":1409616000000},"content-version":"vor","delay-in-days":244,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Problems in Engineering"],"published-print":{"date-parts":[[2014,1]]},"abstract":"<jats:p>We prove necessary optimality conditions of Euler\u2010Lagrange 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.<\/jats:p>","DOI":"10.1155\/2014\/250419","type":"journal-article","created":{"date-parts":[[2014,9,2]],"date-time":"2014-09-02T21:00:38Z","timestamp":1409691638000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Optimal Control with Time Delays via the Penalty Method"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0913-5329","authenticated-orcid":false,"given":"Mohammed","family":"Benharrat","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8641-2505","authenticated-orcid":false,"given":"Delfim F. 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