{"id":"https://openalex.org/W1545024462","doi":"https://doi.org/10.23919/ecc.2009.7074405","title":"The (multi-player) linear quadratic state feedback control problem for index one descriptor systems","display_name":"The (multi-player) linear quadratic state feedback control problem for index one descriptor systems","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1545024462","doi":"https://doi.org/10.23919/ecc.2009.7074405","mag":"1545024462"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074405","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-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/A5083899385","display_name":"Jacob Engwerda","orcid":"https://orcid.org/0000-0002-2539-8786"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J.C. Engwerda","raw_affiliation_strings":["Dept. of Econometrics and O.R, Tilburg University, LE Tilburg, The Netherlands","Tilburg University, Dept. of Econometrics and O.R., P.O. Box: 90153, 5000 LE, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Econometrics and O.R, Tilburg University, LE Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]},{"raw_affiliation_string":"Tilburg University, Dept. of Econometrics and O.R., P.O. Box: 90153, 5000 LE, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031298590","display_name":"Salmah Salmah","orcid":null},"institutions":[{"id":"https://openalex.org/I165230279","display_name":"Universitas Gadjah Mada","ror":"https://ror.org/03ke6d638","country_code":"ID","type":"education","lineage":["https://openalex.org/I165230279"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Salmah","raw_affiliation_strings":["Dept. of Mathematics, Gadjah Mada University, Yogyakarta, Indonesia","Gadjah Mada University, Dept. of Mathematics, Yogyakarta \u2212 55281, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Gadjah Mada University, Yogyakarta, Indonesia","institution_ids":["https://openalex.org/I165230279"]},{"raw_affiliation_string":"Gadjah Mada University, Dept. of Mathematics, Yogyakarta \u2212 55281, Indonesia","institution_ids":["https://openalex.org/I165230279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050182747","display_name":"Indah Emilia Wijayanti","orcid":"https://orcid.org/0000-0003-0390-8682"},"institutions":[{"id":"https://openalex.org/I165230279","display_name":"Universitas Gadjah Mada","ror":"https://ror.org/03ke6d638","country_code":"ID","type":"education","lineage":["https://openalex.org/I165230279"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"I.E. Wijayanti","raw_affiliation_strings":["Universitas Gadjah Mada, Yogyakarta, Daerah Istimewa Yogyakart, ID","Gadjah Mada University, Dept. of Mathematics, Yogyakarta \u2212 55281, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitas Gadjah Mada, Yogyakarta, Daerah Istimewa Yogyakart, ID","institution_ids":["https://openalex.org/I165230279"]},{"raw_affiliation_string":"Gadjah Mada University, Dept. of Mathematics, Yogyakarta \u2212 55281, Indonesia","institution_ids":["https://openalex.org/I165230279"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3103,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.88601408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"207","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9922000169754028,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9922000169754028,"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/T12158","display_name":"Guidance and Control Systems","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10545","display_name":"Optimization and Variational Analysis","score":0.9628000259399414,"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/quadratic-equation","display_name":"Quadratic equation","score":0.6568008065223694},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5885251760482788},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5803406238555908},{"id":"https://openalex.org/keywords/linear-control-systems","display_name":"Linear control systems","score":0.5449478030204773},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5422547459602356},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5184192657470703},{"id":"https://openalex.org/keywords/definiteness","display_name":"Definiteness","score":0.5162151455879211},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.49430155754089355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48883146047592163},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4873140752315521},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.47842937707901},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.447476327419281},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.44066882133483887},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41385209560394287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4129277467727661},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3719739317893982},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21961161494255066},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.18113359808921814},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13218018412590027},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08545196056365967},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07051524519920349}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6568008065223694},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5885251760482788},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5803406238555908},{"id":"https://openalex.org/C2987686001","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Linear control systems","level":3,"score":0.5449478030204773},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5422547459602356},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5184192657470703},{"id":"https://openalex.org/C2779056149","wikidata":"https://www.wikidata.org/wiki/Q1182686","display_name":"Definiteness","level":2,"score":0.5162151455879211},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.49430155754089355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48883146047592163},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4873140752315521},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.47842937707901},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.447476327419281},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.44066882133483887},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41385209560394287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4129277467727661},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3719739317893982},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21961161494255066},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.18113359808921814},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13218018412590027},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08545196056365967},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07051524519920349},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2009.7074405","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4210436583","https://openalex.org/W2774735586","https://openalex.org/W2383147277","https://openalex.org/W2380066421","https://openalex.org/W1595588025","https://openalex.org/W2380095870","https://openalex.org/W3181246138","https://openalex.org/W2362272984","https://openalex.org/W2393846871","https://openalex.org/W1531207307"],"abstract_inverted_index":{"This":[0],"note":[1],"gives":[2],"a":[3,51],"complete":[4],"characterization":[5],"of":[6,44],"all":[7],"optimal":[8],"linear":[9],"quadratic":[10,33],"static":[11],"state":[12],"feedback":[13],"controllers":[14],"if":[15],"the":[16,32,42,48],"system":[17],"is":[18,37],"described":[19],"by":[20],"an":[21],"index":[22],"one":[23],"descriptor":[24],"system.":[25],"No":[26],"definiteness":[27],"restrictions":[28],"are":[29],"made":[30],"w.r.t.":[31],"performance":[34],"criterium.":[35],"It":[36],"shown":[38],"that":[39,46],"in":[40],"general":[41],"set":[43],"solutions":[45],"solve":[47],"problem":[49],"constitutes":[50],"manifold.":[52]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}