{"id":"https://openalex.org/W2527546017","doi":"https://doi.org/10.1109/cdc.2016.7798343","title":"Dynamic algorithms for solving coupled algebraic Riccati equations arising in mixed H&lt;inf&gt;2&lt;/inf&gt;=H&lt;inf&gt;\u221e&lt;/inf&gt; control for scalar linear systems","display_name":"Dynamic algorithms for solving coupled algebraic Riccati equations arising in mixed H&lt;inf&gt;2&lt;/inf&gt;=H&lt;inf&gt;\u221e&lt;/inf&gt; control for scalar linear systems","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2527546017","doi":"https://doi.org/10.1109/cdc.2016.7798343","mag":"2527546017"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798343","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","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/A5080045020","display_name":"Thulasi Mylvaganam","orcid":"https://orcid.org/0000-0003-1993-4607"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"T. Mylvaganam","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"A. Astolfi","raw_affiliation_strings":["DICII, Universita di Roma \u201cTor Vergata\u201d, Roma, Italy","Department of Electrical and Electronic Engineering, Imperial College London, London, UK","DICII, Universita di Roma \"Tor Vergata\", Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DICII, Universita di Roma \u201cTor Vergata\u201d, Roma, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"DICII, Universita di Roma \"Tor Vergata\", Roma, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"652","last_page":"657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9922999739646912,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9896000027656555,"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/scalar","display_name":"Scalar (mathematics)","score":0.6549888849258423},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6437020897865295},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5542365312576294},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.5411535501480103},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.505148708820343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44430011510849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4327974319458008},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4015922546386719},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3871598243713379},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.36970746517181396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33515679836273193},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.33186641335487366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32030805945396423},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.269689679145813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1770639717578888},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15098538994789124},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07120266556739807}],"concepts":[{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6549888849258423},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6437020897865295},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5542365312576294},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.5411535501480103},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.505148708820343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44430011510849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4327974319458008},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4015922546386719},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3871598243713379},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.36970746517181396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33515679836273193},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.33186641335487366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32030805945396423},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.269689679145813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1770639717578888},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15098538994789124},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07120266556739807}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2016.7798343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798343","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/38640","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/38640","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Conference on Decision &amp; Control","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1662246524","display_name":null,"funder_award_id":"EP/L014343/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W202410370","https://openalex.org/W1495711302","https://openalex.org/W1551784909","https://openalex.org/W1572306923","https://openalex.org/W1578630563","https://openalex.org/W1586288161","https://openalex.org/W1594802219","https://openalex.org/W1987541445","https://openalex.org/W2045689494","https://openalex.org/W2046588308","https://openalex.org/W2055300044","https://openalex.org/W2062374130","https://openalex.org/W2062697270","https://openalex.org/W2119066179","https://openalex.org/W2151852050","https://openalex.org/W2160029333","https://openalex.org/W2288748109","https://openalex.org/W2289227442","https://openalex.org/W2335063492","https://openalex.org/W2546768110","https://openalex.org/W2608634483","https://openalex.org/W2798574506","https://openalex.org/W4231011685","https://openalex.org/W6729687424","https://openalex.org/W6737097974"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2018296362","https://openalex.org/W2547959172","https://openalex.org/W2727200542","https://openalex.org/W2002357820","https://openalex.org/W2334216590","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W2244442793","https://openalex.org/W2107449083"],"abstract_inverted_index":{"The":[0],"problem":[1,35,86],"of":[2],"mixed":[3,76],"H":[4,77],"<sub":[5,9,78,82],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,10,79,83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[7,80],"/H":[8,81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[11,84],"control":[12,85],"can":[13],"be":[14],"formulated":[15],"as":[16,22],"a":[17],"two-player":[18],"nonzero-sum":[19],"differential":[20],"game":[21],"done":[23],"by":[24,38],"Limebeer":[25],"et":[26],"al.":[27],"in":[28],"the":[29,34,68,75],"1990s.":[30],"For":[31],"linear":[32,89],"systems":[33,90],"is":[36,91],"characterised":[37],"two":[39,62],"coupled":[40,69],"algebraic":[41,47,70],"Riccati":[42,48,71],"equations.":[43],"Solutions":[44],"for":[45,56,64,67,87],"such":[46],"equations":[49,72],"are":[50],"not":[51],"straight-forward":[52],"to":[53],"obtain,":[54],"particularly":[55],"infinite-horizon":[57],"problems.":[58],"In":[59],"this":[60],"paper":[61],"algorithms":[63],"obtaining":[65],"solutions":[66],"associated":[73],"with":[74,94],"scalar,":[88],"provided":[92],"along":[93],"illustrative":[95],"numerical":[96],"examples.":[97]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
