{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T08:23:57Z","timestamp":1769675037111,"version":"3.49.0"},"reference-count":34,"publisher":"Informa UK Limited","issue":"2","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Control"],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1080\/00207179.2025.2522179","type":"journal-article","created":{"date-parts":[[2025,8,14]],"date-time":"2025-08-14T14:53:21Z","timestamp":1755183201000},"page":"519-530","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":0,"title":["Necessary optimality conditions for a new type of singular controls in optimal control problems"],"prefix":"10.1080","volume":"99","author":[{"given":"Misir J.","family":"Mardanov","sequence":"first","affiliation":[{"name":"Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan","place":["Baku, Azerbaijan"]},{"name":"Baku State University","place":["Baku, Azerbaijan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samin T.","family":"Malik","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan","place":["Baku, Azerbaijan"]},{"name":"ADA University","place":["Baku, Azerbaijan"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2025,8,14]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1070\/SM1976v029n04ABEH003685"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1134\/S0012266120020093"},{"issue":"4","key":"e_1_3_3_4_1","first-page":"591","article-title":"An analogue of Kelley's condition in optimal systems with lag","volume":"10","author":"Ashchepkov L. T.","year":"1974","unstructured":"Ashchepkov, L. T., & Eppel, D. S. (1974). An analogue of Kelley's condition in optimal systems with lag. Differentsial'nye Uravneniya, 10(4), 591\u2013597.","journal-title":"Differentsial'nye Uravneniya"},{"issue":"2","key":"e_1_3_3_5_1","first-page":"300","article-title":"On the theory of necessary conditions for optimality of singular controls","volume":"183","author":"Gabasov R.","year":"1968","unstructured":"Gabasov, R. (1968). On the theory of necessary conditions for optimality of singular controls. Doklady Akademii Nauk SSSR, 183(2), 300\u2013302.","journal-title":"Doklady Akademii Nauk SSSR"},{"key":"e_1_3_3_6_1","volume-title":"Singular optimal controls","author":"Gabasov R.","year":"1973","unstructured":"Gabasov, R., & Kirillova, F. M. (1973). Singular optimal controls. Nauka. In Russian."},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1137\/0304052"},{"key":"e_1_3_3_8_1","first-page":"860","article-title":"Different forms of the generalized Legendre\u2013Clebsch conditions","volume":"43","author":"Gorokhovik V. V.","year":"1982","unstructured":"Gorokhovik, V. V., & Gorokhovik, S. Y. (1982). Different forms of the generalized Legendre\u2013Clebsch conditions. Automation and Remote Control, 43, 860\u2013865.","journal-title":"Automation and Remote Control"},{"key":"e_1_3_3_9_1","unstructured":"Hestenes M. R. (1966). Calculus of variations and optimal control theory (pp. 405).\u00a0New York\/London:\u00a0John Wiley & Sons."},{"key":"e_1_3_3_10_1","doi-asserted-by":"publisher","DOI":"10.1137\/0307042"},{"key":"e_1_3_3_11_1","first-page":"26","article-title":"Necessary condition for singular extremums based on the second variation","volume":"2","author":"Kelley H. J.","year":"1964","unstructured":"Kelley, H. J. (1964). Necessary condition for singular extremums based on the second variation. Raketnaya texknika i kosmonavtika, 2, 26\u201329. https:\/\/arc.aiaa.org\/doi\/10.2514\/3.2562.","journal-title":"Raketnaya texknika i kosmonavtika"},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1137\/0315019"},{"key":"e_1_3_3_13_1","volume-title":"Methods and problems of optimal control","author":"Krotov V. F.","year":"1973","unstructured":"Krotov, V. F., & Gurman, V. I. (1973). Methods and problems of optimal control. Nauka."},{"key":"e_1_3_3_14_1","doi-asserted-by":"publisher","DOI":"10.1080\/01630563.2018.1489415"},{"issue":"4","key":"e_1_3_3_15_1","first-page":"815","article-title":"On optimality conditions for singular controls","volume":"253","author":"Mardanov M. J.","year":"1980","unstructured":"Mardanov, M. J. (1980). On optimality conditions for singular controls. Doklady Akademii Nauk SSSR, 253(4), 815\u2013818.","journal-title":"Doklady Akademii Nauk SSSR"},{"key":"e_1_3_3_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10883-017-9394-3"},{"key":"e_1_3_3_17_1","doi-asserted-by":"publisher","DOI":"10.1134\/S0965542517050086"},{"key":"e_1_3_3_18_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2016.1205755"},{"key":"e_1_3_3_19_1","doi-asserted-by":"publisher","DOI":"10.1134\/S1064562418070049"},{"issue":"1","key":"e_1_3_3_20_1","first-page":"135","article-title":"On strengthening of optimality conditions in discrete control systems","volume":"44","author":"Mardanov M. J.","year":"2018","unstructured":"Mardanov, M. J., Melikov, T. K., & Malik, S. T. (2018). On strengthening of optimality conditions in discrete control systems. Proceedings of the Institute of Mathematics and Mechanics, 44(1), 135\u2013154.","journal-title":"Proceedings of the Institute of Mathematics and Mechanics"},{"key":"e_1_3_3_21_1","doi-asserted-by":"publisher","DOI":"10.1134\/S0001434619090086"},{"key":"e_1_3_3_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2021.113723"},{"key":"e_1_3_3_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2022.114668"},{"issue":"5","key":"e_1_3_3_24_1","first-page":"843","article-title":"Recurrent optimality conditions for singular controls in delay systems","volume":"322","author":"Melikov T. K.","year":"1992","unstructured":"Melikov, T. K. (1992). Recurrent optimality conditions for singular controls in delay systems. Doklady Akademii Nauk, 322(5), 843\u2013846.","journal-title":"Doklady Akademii Nauk"},{"issue":"7","key":"e_1_3_3_25_1","first-page":"907","article-title":"Necessary conditions for high-order optimality","volume":"35","author":"Melikov T. K.","year":"1995","unstructured":"Melikov, T. K. (1995). Necessary conditions for high-order optimality. Computational Mathematics and Mathematical Physics, 35(7), 907\u2013911.","journal-title":"Computational Mathematics and Mathematical Physics"},{"issue":"9","key":"e_1_3_3_26_1","first-page":"1429","article-title":"An analogue of the Kelley condition for optimal systems with aftereffect of neutral type","volume":"38","author":"Melikov T. K.","year":"1998","unstructured":"Melikov, T. K. (1998). An analogue of the Kelley condition for optimal systems with aftereffect of neutral type. Computational Mathematics and Mathematical Physics, 38(9), 1429\u20131438.","journal-title":"Computational Mathematics and Mathematical Physics"},{"issue":"9","key":"e_1_3_3_27_1","first-page":"1267","article-title":"Optimality of singular controls in systems with aftereffects of neutral type","volume":"41","author":"Melikov T. K.","year":"2001","unstructured":"Melikov, T. K. (2001). Optimality of singular controls in systems with aftereffects of neutral type. Computational Mathematics and Mathematical Physics, 41(9), 1267\u20131278.","journal-title":"Computational Mathematics and Mathematical Physics"},{"issue":"3","key":"e_1_3_3_28_1","first-page":"1207","article-title":"On optimal singular control problem for general Mckean-Vlasov differential equations: Necessary and sufficient optimality conditions","volume":"39","author":"Mokhtar H.","year":"2018","unstructured":"Mokhtar, H., Shahlar, M., Shaban, E., & Deniz, H. G. (2018). On optimal singular control problem for general Mckean-Vlasov differential equations: Necessary and sufficient optimality conditions. Optimal Control Applications and Methods, 39(3), 1207\u20131219.","journal-title":"Optimal Control Applications and Methods"},{"key":"e_1_3_3_29_1","volume-title":"Approximation methods in problems of optimization and control","author":"Mordukhovich B. S.","year":"1988","unstructured":"Mordukhovich, B. S. (1988). Approximation methods in problems of optimization and control. Nauka."},{"key":"e_1_3_3_30_1","volume-title":"Mathematical theory of optimal processes","author":"Pontryagin L. S.","year":"1962","unstructured":"Pontryagin, L. S., & Mishenko, E. F. (1962). Mathematical theory of optimal processes. John Wiley & Sons."},{"issue":"12","key":"e_1_3_3_31_1","first-page":"1561","article-title":"Pontryagin's maximum principle in the theory of optimal systems","volume":"20","author":"Rozonoer L. I.","year":"1959","unstructured":"Rozonoer, L. I. (1959). Pontryagin's maximum principle in the theory of optimal systems. III \/\/ Avtomatika I Telemekhanika, 20(12), 1561\u20131578.","journal-title":"III \/\/ Avtomatika I Telemekhanika"},{"key":"e_1_3_3_32_1","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2023.3254210"},{"key":"e_1_3_3_33_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3261345"},{"key":"e_1_3_3_34_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2021.1929498"},{"issue":"6","key":"e_1_3_3_35_1","first-page":"1050","article-title":"Study of the second variation under singular controls","volume":"10","author":"Srochko V. A.","year":"1974","unstructured":"Srochko, V. A. (1974). Study of the second variation under singular controls. Differentsial'nye Uravneniya, 10(6), 1050\u20131066.","journal-title":"Differentsial'nye Uravneniya"}],"container-title":["International Journal of Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207179.2025.2522179","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T20:55:32Z","timestamp":1769633732000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207179.2025.2522179"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,14]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["10.1080\/00207179.2025.2522179"],"URL":"https:\/\/doi.org\/10.1080\/00207179.2025.2522179","relation":{},"ISSN":["0020-7179","1366-5820"],"issn-type":[{"value":"0020-7179","type":"print"},{"value":"1366-5820","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,14]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=tcon20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2023-08-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-14","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-08-14","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}