{"id":"https://openalex.org/W4415907021","doi":"https://doi.org/10.1137/24m167487x","title":"Data-Driven Input-to-State Stabilization of Polynomial Systems","display_name":"Data-Driven Input-to-State Stabilization of Polynomial Systems","publication_year":2025,"publication_date":"2025-11-05","ids":{"openalex":"https://openalex.org/W4415907021","doi":"https://doi.org/10.1137/24m167487x"},"language":"en","primary_location":{"id":"doi:10.1137/24m167487x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m167487x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/fd1bea38-8d5a-48d6-9331-38b9824b3b56","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100603640","display_name":"Hailong Chen","orcid":"https://orcid.org/0000-0001-6528-1091"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Hailong Chen","raw_affiliation_strings":["Engineering and Technology Institute, University of Groningen, 9747 AG Groningen, the Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-6528-1091","affiliations":[{"raw_affiliation_string":"Engineering and Technology Institute, University of Groningen, 9747 AG Groningen, the Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058794263","display_name":"Andrea Bisoffi","orcid":"https://orcid.org/0000-0001-5495-4481"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Bisoffi","raw_affiliation_strings":["Department of Electronics, Information and Bioengineering, Politecnico di Milano, 20133 Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0001-5495-4481","affiliations":[{"raw_affiliation_string":"Department of Electronics, Information and Bioengineering, Politecnico di Milano, 20133 Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073108827","display_name":"Claudio De Persis","orcid":"https://orcid.org/0000-0001-8574-1139"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Claudio De Persis","raw_affiliation_strings":["Engineering and Technology Institute, University of Groningen, 9747 AG Groningen, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering and Technology Institute, University of Groningen, 9747 AG Groningen, the Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.354577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"6","first_page":"3915","last_page":"3940"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.37540000677108765,"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/T11236","display_name":"Control Systems and Identification","score":0.37540000677108765,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.16030000150203705,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.08150000125169754,"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/control-theory","display_name":"Control theory (sociology)","score":0.645799994468689},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6093000173568726},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6055999994277954},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5543000102043152},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.5339000225067139},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5116999745368958},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5062000155448914},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4964999854564667},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4528999924659729}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7735999822616577},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.645799994468689},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6093000173568726},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6055999994277954},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5543000102043152},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.5339000225067139},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5116999745368958},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5062000155448914},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4964999854564667},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4528999924659729},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3824000060558319},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.36809998750686646},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3603000044822693},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3285999894142151},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.31929999589920044},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.31859999895095825},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.3158000111579895},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3095000088214874},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C2987333383","wikidata":"https://www.wikidata.org/wiki/Q1649571","display_name":"Process dynamics","level":3,"score":0.25940001010894775},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.2515999972820282}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/24m167487x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m167487x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:openaire/fd1bea38-8d5a-48d6-9331-38b9824b3b56","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/fd1bea38-8d5a-48d6-9331-38b9824b3b56","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chen, H, Bisoffi, A & De Persis, C 2025, 'Data-Driven Input-to-State Stabilization of Polynomial Systems', SIAM Journal on Control and Optimization, vol. 63, no. 6, pp. 3915-3940. https://doi.org/10.1137/24M167487X","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.rug.nl:publications/fd1bea38-8d5a-48d6-9331-38b9824b3b56","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/fd1bea38-8d5a-48d6-9331-38b9824b3b56","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Chen, H, Bisoffi, A & De Persis, C 2025, 'Data-Driven Input-to-State Stabilization of Polynomial Systems', SIAM Journal on Control and Optimization, vol. 63, no. 6, pp. 3915-3940. https://doi.org/10.1137/24M167487X","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/1305589","is_oa":false,"landing_page_url":"https://hdl.handle.net/11311/1305589","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/fd1bea38-8d5a-48d6-9331-38b9824b3b56","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/fd1bea38-8d5a-48d6-9331-38b9824b3b56","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chen, H, Bisoffi, A & De Persis, C 2025, 'Data-Driven Input-to-State Stabilization of Polynomial Systems', SIAM Journal on Control and Optimization, vol. 63, no. 6, pp. 3915-3940. https://doi.org/10.1137/24M167487X","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1502848176","display_name":null,"funder_award_id":"P18-03","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1964590153","https://openalex.org/W1967184028","https://openalex.org/W1978518835","https://openalex.org/W2017493230","https://openalex.org/W2033735082","https://openalex.org/W2061066021","https://openalex.org/W2084183955","https://openalex.org/W2112840220","https://openalex.org/W2146586176","https://openalex.org/W2155724501","https://openalex.org/W2165626406","https://openalex.org/W2169932488","https://openalex.org/W2239232218","https://openalex.org/W2491336180","https://openalex.org/W2804893772","https://openalex.org/W3095947501","https://openalex.org/W3139533914","https://openalex.org/W3202264307","https://openalex.org/W3202901906","https://openalex.org/W3210839039","https://openalex.org/W4205940976","https://openalex.org/W4327639797","https://openalex.org/W4361859938","https://openalex.org/W4380450824","https://openalex.org/W4388011652","https://openalex.org/W4388339703","https://openalex.org/W4388461221","https://openalex.org/W4388837959","https://openalex.org/W4391632062","https://openalex.org/W4407125171"],"related_works":[],"abstract_inverted_index":{"For":[0,68],"the":[1,12,51,54,90,107,119],"class":[2],"of":[3,14,50,53,59,118],"nonlinear":[4],"input-affine":[5],"systems":[6],"with":[7,20,72],"polynomial":[8],"dynamics,":[9],"we":[10,46,74],"consider":[11],"problem":[13,40],"designing":[15],"an":[16,80,84],"input-to-state":[17,81,98],"stabilizing":[18,82],"controller":[19],"respect":[21],"to":[22,78,101],"typical":[23],"exogenous":[24],"signals":[25],"in":[26,41,106,113,125],"a":[27,42,114],"feedback":[28],"control":[29],"system,":[30],"such":[31],"as":[32],"actuator":[33],"and":[34,89],"process":[35],"disturbances.":[36],"We":[37],"address":[38],"this":[39],"data-based":[43,109],"setting":[44,110],"when":[45],"cannot":[47],"avail":[48],"ourselves":[49],"dynamics":[52,70],"actual":[55],"system":[56],"but":[57,111],"only":[58,105],"data":[60],"generated":[61],"by":[62],"it":[63],"under":[64],"unknown":[65],"bounded":[66],"noise.":[67],"all":[69],"consistent":[71],"data,":[73],"derive":[75],"sum-of-squares":[76,121],"programs":[77,122],"design":[79,96],"controller,":[83],"input":[85],"to-state":[86],"Lyapunov":[87],"function,":[88],"corresponding":[91],"comparison":[92],"functions.":[93],"This":[94],"numerical":[95],"for":[97],"stabilization":[99],"seems":[100],"be":[102],"relevant":[103],"not":[104],"considered":[108],"also":[112],"model-based":[115],"setting.":[116],"Feasibility":[117],"provided":[120],"is":[123],"illustrated":[124],"anumerical":[126],"example.":[127]},"counts_by_year":[],"updated_date":"2025-11-06T04:12:42.849631","created_date":"2025-11-05T00:00:00"}