{"id":"https://openalex.org/W2902320909","doi":"https://doi.org/10.1080/23307706.2018.1552208","title":"An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results","display_name":"An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results","publication_year":2018,"publication_date":"2018-11-29","ids":{"openalex":"https://openalex.org/W2902320909","doi":"https://doi.org/10.1080/23307706.2018.1552208","mag":"2902320909"},"language":"en","primary_location":{"id":"doi:10.1080/23307706.2018.1552208","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2018.1552208","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"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":"Journal of Control and Decision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/2590476","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018597173","display_name":"Mario Sassano","orcid":"https://orcid.org/0000-0003-4525-4656"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mario Sassano","raw_affiliation_strings":["Dipartimento di Ingegneria Civile e Ingegneria Informatica, Tor Vergata, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4525-4656","affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, Tor Vergata, Rome, Italy","institution_ids":[]}]},{"author_position":"middle","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":true,"raw_author_name":"Thulasi Mylvaganam","raw_affiliation_strings":["Department of Aeronautics, Imperial College London, London, UK"],"raw_orcid":"https://orcid.org/0000-0003-1993-4607","affiliations":[{"raw_affiliation_string":"Department of Aeronautics, 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/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":"Alessandro Astolfi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dipartimento di Ingegneria Civile e Ingegneria Informatica, Tor Vergata, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-4331-454X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, Tor Vergata, Rome, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080045020"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":1.3108,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82117287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"6","issue":"1","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9994999766349792,"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/algebraic-number","display_name":"Algebraic number","score":0.7165141105651855},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6597734689712524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45950835943222046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4271122217178345},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4192884564399719},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3415020704269409},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3333023190498352},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17285984754562378},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11621394753456116},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07198536396026611},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06512963771820068}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.7165141105651855},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6597734689712524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45950835943222046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4271122217178345},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4192884564399719},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3415020704269409},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3333023190498352},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17285984754562378},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11621394753456116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07198536396026611},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06512963771820068},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/23307706.2018.1552208","is_oa":false,"landing_page_url":"https://doi.org/10.1080/23307706.2018.1552208","pdf_url":null,"source":{"id":"https://openalex.org/S2475925340","display_name":"Journal of Control and Decision","issn_l":"2330-7706","issn":["2330-7706","2330-7714"],"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":"Journal of Control and Decision","raw_type":"journal-article"},{"id":"pmh:oai:art.torvergata.it:2108/211795","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/211795","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/66304","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/66304","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":"29","raw_type":"Journal Article"},{"id":"pmh:oai:zenodo.org:2590476","is_oa":true,"landing_page_url":"https://zenodo.org/record/2590476","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Control and Decision 6(1) 1-29","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:2590476","is_oa":true,"landing_page_url":"https://zenodo.org/record/2590476","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Control and Decision 6(1) 1-29","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5010439704","display_name":null,"funder_award_id":"739551","funder_id":"https://openalex.org/F4320335254","funder_display_name":"Horizon 2020"}],"funders":[{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W414210720","https://openalex.org/W1495711302","https://openalex.org/W1548148540","https://openalex.org/W1572306923","https://openalex.org/W1578630563","https://openalex.org/W1594802219","https://openalex.org/W1802441649","https://openalex.org/W1955916567","https://openalex.org/W1968076711","https://openalex.org/W1971767707","https://openalex.org/W1986277658","https://openalex.org/W1986787527","https://openalex.org/W2012655853","https://openalex.org/W2019493548","https://openalex.org/W2021313930","https://openalex.org/W2025794078","https://openalex.org/W2027903619","https://openalex.org/W2032085216","https://openalex.org/W2034288315","https://openalex.org/W2039992844","https://openalex.org/W2040158468","https://openalex.org/W2042106612","https://openalex.org/W2042994047","https://openalex.org/W2044818583","https://openalex.org/W2055300044","https://openalex.org/W2062697270","https://openalex.org/W2065313971","https://openalex.org/W2065529863","https://openalex.org/W2071555678","https://openalex.org/W2073778117","https://openalex.org/W2075093452","https://openalex.org/W2082337197","https://openalex.org/W2087784792","https://openalex.org/W2089924634","https://openalex.org/W2092078242","https://openalex.org/W2098432798","https://openalex.org/W2109640889","https://openalex.org/W2112014346","https://openalex.org/W2112507254","https://openalex.org/W2117175541","https://openalex.org/W2125256511","https://openalex.org/W2132876669","https://openalex.org/W2144355672","https://openalex.org/W2151852050","https://openalex.org/W2288748109","https://openalex.org/W2289227442","https://openalex.org/W2504288964","https://openalex.org/W2526862620","https://openalex.org/W2527546017","https://openalex.org/W2608634483","https://openalex.org/W2617887210","https://openalex.org/W2766056291","https://openalex.org/W2774299871","https://openalex.org/W2798574506","https://openalex.org/W2911478155","https://openalex.org/W2961703895","https://openalex.org/W2963455110","https://openalex.org/W4214690803","https://openalex.org/W4285716878"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832","https://openalex.org/W2383436541"],"abstract_inverted_index":{"Dynamic":[0],"optimisation,":[1],"with":[2,73],"a":[3,43,74,78,95],"particular":[4],"focus":[5],"on":[6],"optimal":[7,56],"control":[8,44,57,80],"and":[9,59],"nonzero-sum":[10],"differential":[11,30,60],"games,":[12],"is":[13,70],"considered.":[14],"For":[15],"nonlinear":[16,79],"systems":[17,91],"solutions":[18,54],"sought":[19],"via":[20],"the":[21,49,64,85,99],"dynamic":[22],"programming":[23],"strategy":[24],"are":[25,34,92],"inevitably":[26],"characterised":[27],"by":[28],"partial":[29],"equations":[31],"(PDEs)":[32],"which":[33,47],"often":[35],"difficult":[36],"to":[37],"solve.":[38],"A":[39],"detailed":[40],"overview":[41],"of":[42,52,67,77,87,98],"design":[45,76],"framework":[46],"enables":[48],"systematic":[50],"construction":[51],"approximate":[53],"for":[55],"problems":[58],"games":[61],"without":[62],"requiring":[63],"explicit":[65],"solution":[66],"any":[68],"PDE":[69],"provided":[71],"along":[72],"novel":[75],"gain":[81],"aimed":[82],"at":[83],"improving":[84],"\u2018level":[86],"approximation\u2019":[88],"achieved.":[89],"Multi-agent":[90],"considered":[93],"as":[94],"possible":[96],"application":[97],"theory.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2018-12-11T00:00:00"}