{"id":"https://openalex.org/W1178815054","doi":"https://doi.org/10.1007/0-387-23467-5_7","title":"Feedback Robust Control for a Parabolic Variational Inequality","display_name":"Feedback Robust Control for a Parabolic Variational Inequality","publication_year":2006,"publication_date":"2006-01-14","ids":{"openalex":"https://openalex.org/W1178815054","doi":"https://doi.org/10.1007/0-387-23467-5_7","mag":"1178815054"},"language":"en","primary_location":{"id":"doi:10.1007/0-387-23467-5_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23467-5_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/0-387-23467-5_7.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/0-387-23467-5_7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000692086","display_name":"\u0412. \u0418. \u041c\u0430\u043a\u0441\u0438\u043c\u043e\u0432","orcid":"https://orcid.org/0000-0001-5643-7998"},"institutions":[{"id":"https://openalex.org/I4210119369","display_name":"Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/02s4h3z39","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210119369"]},{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vyacheslav Maksimov","raw_affiliation_strings":["Institute of Mathematics and Mechanics Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mechanics Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I4210119369","https://openalex.org/I4210105350"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000692086"],"corresponding_institution_ids":["https://openalex.org/I4210105350","https://openalex.org/I4210119369"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0706664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.955299973487854,"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":0.955299973487854,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9110999703407288,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8105276823043823},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.6494500637054443},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6144387125968933},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5232747793197632},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.5220915079116821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5117949843406677},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4877679944038391},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38687950372695923},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3866422176361084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3780439496040344},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3394278883934021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2536036968231201},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.19813251495361328},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.1762281060218811},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13769656419754028},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09733164310455322}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8105276823043823},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.6494500637054443},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6144387125968933},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5232747793197632},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.5220915079116821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5117949843406677},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4877679944038391},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38687950372695923},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3866422176361084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3780439496040344},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3394278883934021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2536036968231201},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.19813251495361328},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.1762281060218811},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13769656419754028},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09733164310455322},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/0-387-23467-5_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23467-5_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/0-387-23467-5_7.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/0-387-23467-5_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23467-5_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/0-387-23467-5_7.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G5912715913","display_name":null,"funder_award_id":"00059","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1178815054.pdf","grobid_xml":"https://content.openalex.org/works/W1178815054.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1508622707","https://openalex.org/W1547240457","https://openalex.org/W2026026967","https://openalex.org/W2038244672","https://openalex.org/W6630519045"],"related_works":["https://openalex.org/W2064140307","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W2909053289","https://openalex.org/W2104243281","https://openalex.org/W2063245973","https://openalex.org/W2946037075","https://openalex.org/W2059694173","https://openalex.org/W3131922696","https://openalex.org/W1967850176"],"abstract_inverted_index":{"A":[0],"problem":[1],"of":[2,5,13,24,34,38],"robust":[3],"control":[4,15,40],"a":[6],"parabolic":[7],"variational":[8],"inequality":[9],"in":[10,28,41],"the":[11,25,29,35,36,42],"case":[12],"distributed":[14],"actions":[16],"and":[17,31],"disturbances":[18],"is":[19],"under":[20],"consideration.":[21],"The":[22,52],"goal":[23],"paper":[26,53],"consists":[27],"description":[30],"mathematical":[32],"substantiation":[33],"method":[37],"feedback":[39],"formalization":[43],"originated":[44],"from":[45],"works":[46],"by":[47],"N.N.":[48],"Krasovskii":[49],"[3],":[50],"[2].":[51],"continues":[54],"investigations":[55],"[5]-[4].":[56]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}