{"id":"https://openalex.org/W1497718398","doi":"https://doi.org/10.23919/ecc.1999.7099445","title":"An exact solution to parameter-dependent convex differential inequalities","display_name":"An exact solution to parameter-dependent convex differential inequalities","publication_year":1999,"publication_date":"1999-08-01","ids":{"openalex":"https://openalex.org/W1497718398","doi":"https://doi.org/10.23919/ecc.1999.7099445","mag":"1497718398"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.1999.7099445","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.1999.7099445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1999 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5077788540","display_name":"Izumi Masubuchi","orcid":"https://orcid.org/0000-0003-1659-5136"},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Izumi Masubuchi","raw_affiliation_strings":["Kobe Daigaku, Kobe, Hyogo, JP","Dept. of Computer and Systems Engineering, Kobe University, 1-1 Rokkodai, Nada, Kobe 657-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kobe Daigaku, Kobe, Hyogo, JP","institution_ids":[]},{"raw_affiliation_string":"Dept. of Computer and Systems Engineering, Kobe University, 1-1 Rokkodai, Nada, Kobe 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077788540"],"corresponding_institution_ids":["https://openalex.org/I65837984"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.02739726,"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":"1043","last_page":"1048"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9969000220298767,"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/mathematics","display_name":"Mathematics","score":0.6990423798561096},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.6570221781730652},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6259745955467224},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.555831253528595},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5230792164802551},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5115984082221985},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4702398180961609},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4670298099517822},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.45992594957351685},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45912301540374756},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4516032934188843},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44259533286094666},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.43205684423446655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35314321517944336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21987032890319824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07435217499732971},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06934535503387451}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6990423798561096},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.6570221781730652},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6259745955467224},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.555831253528595},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5230792164802551},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5115984082221985},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4702398180961609},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4670298099517822},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.45992594957351685},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45912301540374756},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4516032934188843},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44259533286094666},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.43205684423446655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35314321517944336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21987032890319824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07435217499732971},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06934535503387451},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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:10.23919/ecc.1999.7099445","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.1999.7099445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1999 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1537682823","https://openalex.org/W1997041292","https://openalex.org/W2044464896","https://openalex.org/W2110331379","https://openalex.org/W2121496435","https://openalex.org/W2123219957","https://openalex.org/W2148190647","https://openalex.org/W2552850280"],"related_works":["https://openalex.org/W2391247224","https://openalex.org/W2363904277","https://openalex.org/W868123585","https://openalex.org/W2300145982","https://openalex.org/W2376997122","https://openalex.org/W3209021143","https://openalex.org/W4287823411","https://openalex.org/W2350695164","https://openalex.org/W4248569606","https://openalex.org/W2166480112"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,10,13,34,50],"numerical":[6],"algorithm":[7,33],"to":[8,12,24,36],"find":[9],"solution":[11,35],"parameter-dependent":[14],"convex":[15,55],"differential":[16],"inequality":[17,39],"problem,":[18],"which":[19],"involves":[20],"infinite":[21],"inequalities":[22],"corresponding":[23],"the":[25,28,31,37],"values":[26],"of":[27,54],"parameter.":[29],"With":[30],"proposed":[32],"given":[38],"problem":[40],"is":[41,46],"always":[42],"obtained":[43],"whenever":[44],"it":[45],"solvable,":[47],"by":[48],"solving":[49],"certain":[51],"finite":[52],"set":[53],"inequalities.":[56]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}