{"id":"https://openalex.org/W2971381151","doi":"https://doi.org/10.1080/00207179.2019.1661523","title":"Saddle point criteria for multi-dimensional control optimisation problem involving first-order PDE constraints","display_name":"Saddle point criteria for multi-dimensional control optimisation problem involving first-order PDE constraints","publication_year":2019,"publication_date":"2019-09-04","ids":{"openalex":"https://openalex.org/W2971381151","doi":"https://doi.org/10.1080/00207179.2019.1661523","mag":"2971381151"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2019.1661523","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1661523","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087624087","display_name":"Anurag Jayswal","orcid":"https://orcid.org/0000-0001-6715-087X"},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anurag Jayswal","raw_affiliation_strings":["Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100747952","display_name":"Preeti Preeti","orcid":null},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Preeti","raw_affiliation_strings":["Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India","institution_ids":["https://openalex.org/I189109744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100747952"],"corresponding_institution_ids":["https://openalex.org/I189109744"],"apc_list":null,"apc_paid":null,"fwci":2.3278,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89786415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"94","issue":"6","first_page":"1567","last_page":"1576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.8594434261322021},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6543084383010864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6123418211936951},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.599083662033081},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5720533132553101},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5152571201324463},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4953657388687134},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48724165558815},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.4631722569465637},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4459196925163269},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4216611385345459},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.058804601430892944}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.8594434261322021},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6543084383010864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6123418211936951},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.599083662033081},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5720533132553101},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5152571201324463},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4953657388687134},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48724165558815},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.4631722569465637},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4459196925163269},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4216611385345459},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.058804601430892944},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2019.1661523","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1661523","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G5056510503","display_name":null,"funder_award_id":"25(0266)/17/EMR-II","funder_id":"https://openalex.org/F4320320721","funder_display_name":"Council of Scientific and Industrial Research, India"}],"funders":[{"id":"https://openalex.org/F4320320721","display_name":"Council of Scientific and Industrial Research, India","ror":"https://ror.org/021wm7p51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1800296562","https://openalex.org/W1970495998","https://openalex.org/W1976086748","https://openalex.org/W1977235330","https://openalex.org/W1981169281","https://openalex.org/W1985319797","https://openalex.org/W2032266076","https://openalex.org/W2037160425","https://openalex.org/W2053661713","https://openalex.org/W2322172784","https://openalex.org/W2744494937","https://openalex.org/W2777825746","https://openalex.org/W2792996412","https://openalex.org/W2794358724","https://openalex.org/W2799435318","https://openalex.org/W2807101741","https://openalex.org/W2966671070","https://openalex.org/W2967195407"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W3127021889","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W4308799551","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W3105202832"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,24,28,32,37,45,49,58,64,70,81,88,95],"multi-dimensional":[4,72],"control":[5,39,73,83],"optimisation":[6,40,74],"problem":[7,41,75,84],"involving":[8],"first-order":[9],"PDE":[10],"constraints":[11],"is":[12,20,42,55,85],"considered.":[13],"The":[14],"absolute":[15,50],"value":[16,51],"penalty":[17,52],"function":[18,53],"method":[19,54],"used":[21],"to":[22],"solve":[23],"considered":[25],"problem.":[26],"Further,":[27],"saddle":[29,78],"point":[30,79],"of":[31,48,60,69,80],"Lagrange":[33],"functional":[34],"defined":[35],"for":[36],"aforesaid":[38,82],"discussed.":[43],"Thereafter,":[44],"exactness":[46],"property":[47],"studied":[56],"with":[57,98],"help":[59],"saddle-point":[61],"theory.":[62],"Then,":[63],"relationship":[65],"between":[66],"a":[67,77],"minimiser":[68],"penalised":[71],"and":[76],"established":[86],"under":[87],"convexity":[89],"assumption.":[90],"Moreover,":[91],"we":[92],"have":[93],"verified":[94],"theoretical":[96],"results":[97],"applications.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
