{"id":"https://openalex.org/W1965517423","doi":"https://doi.org/10.1080/00207179.2015.1038587","title":"Optimal controls of multidimensional modified Swift\u2013Hohenberg equation","display_name":"Optimal controls of multidimensional modified Swift\u2013Hohenberg equation","publication_year":2015,"publication_date":"2015-04-08","ids":{"openalex":"https://openalex.org/W1965517423","doi":"https://doi.org/10.1080/00207179.2015.1038587","mag":"1965517423"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2015.1038587","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2015.1038587","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/A5077280174","display_name":"Jiashan Zheng","orcid":"https://orcid.org/0000-0002-1304-9853"},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]},{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiashan Zheng","raw_affiliation_strings":["School of Mathematics and Statistics, Ludong University, Yantai 264025, P.R. China; School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China","School of Mathematics and Statistics, Ludong University, Yantai 264025, P.R. China","School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ludong University, Yantai 264025, P.R. China; School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China","institution_ids":["https://openalex.org/I182707071"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Ludong University, Yantai 264025, P.R. China","institution_ids":["https://openalex.org/I182707071"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077280174"],"corresponding_institution_ids":["https://openalex.org/I125839683","https://openalex.org/I182707071"],"apc_list":null,"apc_paid":null,"fwci":2.3376,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89127545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"88","issue":"10","first_page":"2117","last_page":"2125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/swift","display_name":"Swift","score":0.8136053085327148},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7021952867507935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6128638982772827},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5544188618659973},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5484099388122559},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46697235107421875},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.4414086937904358},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.310111403465271},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2688206732273102},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06909477710723877}],"concepts":[{"id":"https://openalex.org/C116188536","wikidata":"https://www.wikidata.org/wiki/Q17118377","display_name":"Swift","level":2,"score":0.8136053085327148},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7021952867507935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6128638982772827},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5544188618659973},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5484099388122559},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46697235107421875},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.4414086937904358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.310111403465271},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2688206732273102},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06909477710723877},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2015.1038587","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2015.1038587","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W650746831","https://openalex.org/W1508622707","https://openalex.org/W1966703123","https://openalex.org/W1972250724","https://openalex.org/W1977255739","https://openalex.org/W1979335926","https://openalex.org/W1982999858","https://openalex.org/W1990769340","https://openalex.org/W2000883601","https://openalex.org/W2005306494","https://openalex.org/W2016339071","https://openalex.org/W2022400611","https://openalex.org/W2030028092","https://openalex.org/W2035080553","https://openalex.org/W2043991004","https://openalex.org/W2045459274","https://openalex.org/W2049967935","https://openalex.org/W2060226864","https://openalex.org/W2067136385","https://openalex.org/W2067222712","https://openalex.org/W2086694291","https://openalex.org/W2114892458","https://openalex.org/W2273769586","https://openalex.org/W2321262189","https://openalex.org/W2533263904","https://openalex.org/W3100919499"],"related_works":["https://openalex.org/W3198734187","https://openalex.org/W3175001965","https://openalex.org/W2350024083","https://openalex.org/W4250183494","https://openalex.org/W3130985054","https://openalex.org/W608019500","https://openalex.org/W3130134152","https://openalex.org/W2478736918","https://openalex.org/W3198661659","https://openalex.org/W1486573837"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,27],"deal":[4],"with":[5],"the":[6,18,21,29,44],"optimal":[7,34],"control":[8,22,35],"problem":[9,23,39],"governed":[10],"by":[11,40],"multidimensional":[12],"modified":[13],"Swift\u2013Hohenberg":[14],"equation.":[15],"After":[16],"showing":[17],"relationship":[19],"between":[20],"and":[24],"its":[25],"approximation,":[26],"derive":[28],"optimality":[30],"conditions":[31],"for":[32],"an":[33],"of":[36,43],"our":[37],"original":[38],"using":[41],"one":[42],"approximate":[45],"problems.":[46]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
