{"id":"https://openalex.org/W4391020491","doi":"https://doi.org/10.1109/cdc49753.2023.10383312","title":"Kernel-Based Learning of Stable Nonlinear State-Space Models","display_name":"Kernel-Based Learning of Stable Nonlinear State-Space Models","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020491","doi":"https://doi.org/10.1109/cdc49753.2023.10383312"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383312","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.tue.nl/ws/files/315106183/Shakib_-_Kernel-based_learning_of_stable_nonlinear_state-space_models_-_2023.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045435689","display_name":"M.F. Shakib","orcid":"https://orcid.org/0000-0003-4299-9433"},"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"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["GB","NL"],"is_corresponding":false,"raw_author_name":"M.F. Shakib","raw_affiliation_strings":["Imperial College London,Department of Electrical and Electronic Engineering,London,United Kingdom","Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom","Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London,Department of Electrical and Electronic Engineering,London,United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088619613","display_name":"Roland T\u00f3th","orcid":"https://orcid.org/0000-0001-7570-6129"},"institutions":[{"id":"https://openalex.org/I4210117195","display_name":"HUN-REN Institute for Computer Science and Control","ror":"https://ror.org/0249v7n71","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210117195","https://openalex.org/I4387152226"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["HU","NL"],"is_corresponding":false,"raw_author_name":"R. T\u00f3th","raw_affiliation_strings":["Eindhoven University of Technology,Department of Electrical Engineering,Eindhoven,The Netherlands","Department of Electrical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands","Institute for Computer Science and Control, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Electrical Engineering,Eindhoven,The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Electrical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Institute for Computer Science and Control, Budapest, Hungary","institution_ids":["https://openalex.org/I4210117195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067237042","display_name":"A. Pogromsky","orcid":"https://orcid.org/0000-0001-8755-9832"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A.Y. Pogromsky","raw_affiliation_strings":["Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009007685","display_name":"Alexey Pavlov","orcid":"https://orcid.org/0000-0002-6211-6258"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"A. Pavlov","raw_affiliation_strings":["NTNU,Department of Geoscience and Petroleum,Trondheim,Norway","Department of Geoscience and Petroleum, NTNU, Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTNU,Department of Geoscience and Petroleum,Trondheim,Norway","institution_ids":["https://openalex.org/I204778367"]},{"raw_affiliation_string":"Department of Geoscience and Petroleum, NTNU, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004028181","display_name":"Nathan van de Wouw","orcid":"https://orcid.org/0000-0002-6745-9137"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"N. van de Wouw","raw_affiliation_strings":["Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3403,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.9063341,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2897","last_page":"2902"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T10876","display_name":"Fault Detection and Control 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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9940999746322632,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.636528491973877},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5975523591041565},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5897408127784729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5824998617172241},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5684946179389954},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.507930338382721},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49970245361328125},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48277416825294495},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44995927810668945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.337867796421051},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32148560881614685},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23673900961875916},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07484954595565796}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.636528491973877},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5975523591041565},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5897408127784729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5824998617172241},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5684946179389954},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.507930338382721},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49970245361328125},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48277416825294495},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44995927810668945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.337867796421051},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32148560881614685},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23673900961875916},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07484954595565796},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383312","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/ed4a7612-2c59-458c-9bf0-c970bac6e88c","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/ed4a7612-2c59-458c-9bf0-c970bac6e88c","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Shakib, M F, T\u00f3th, R, Pogromskiy, A Y, Pavlov, A & van de Wouw, N 2024, Kernel-based learning of stable nonlinear state-space models. in 2023 62nd IEEE Conference on Decision and Control, CDC 2023., 10383312, Institute of Electrical and Electronics Engineers, pp. 2897-2902, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383312","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.tue.nl:publications/ed4a7612-2c59-458c-9bf0-c970bac6e88c","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85184828720&partnerID=8YFLogxK","pdf_url":"https://pure.tue.nl/ws/files/315106183/Shakib_-_Kernel-based_learning_of_stable_nonlinear_state-space_models_-_2023.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shakib, M F, T\u00f3th, R, Pogromskiy, A Y, Pavlov, A & van de Wouw, N 2024, Kernel-based learning of stable nonlinear state-space models. in 2023 62nd IEEE Conference on Decision and Control, CDC 2023., 10383312, Institute of Electrical and Electronics Engineers, pp. 2897-2902, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383312","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:eprints.sztaki.hu:10666","is_oa":false,"landing_page_url":"https://eprints.sztaki.hu/10666/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:publications/ed4a7612-2c59-458c-9bf0-c970bac6e88c","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85184828720&partnerID=8YFLogxK","pdf_url":"https://pure.tue.nl/ws/files/315106183/Shakib_-_Kernel-based_learning_of_stable_nonlinear_state-space_models_-_2023.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shakib, M F, T\u00f3th, R, Pogromskiy, A Y, Pavlov, A & van de Wouw, N 2024, Kernel-based learning of stable nonlinear state-space models. in 2023 62nd IEEE Conference on Decision and Control, CDC 2023., 10383312, Institute of Electrical and Electronics Engineers, pp. 2897-2902, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383312","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1167618198","display_name":"Model reduction from data","funder_award_id":"EP/W005557/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5615324102","display_name":null,"funder_award_id":"EP/W005557","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8174091143","display_name":null,"funder_award_id":"EP/W005557/1","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":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391020491.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1496317909","https://openalex.org/W1540723801","https://openalex.org/W1560724230","https://openalex.org/W1965324089","https://openalex.org/W1986280275","https://openalex.org/W1991667713","https://openalex.org/W2008663032","https://openalex.org/W2092766760","https://openalex.org/W2099768828","https://openalex.org/W2145601697","https://openalex.org/W2152759496","https://openalex.org/W2157699333","https://openalex.org/W2312915715","https://openalex.org/W2572801168","https://openalex.org/W2744687549","https://openalex.org/W2780439059","https://openalex.org/W2791909561","https://openalex.org/W2884629900","https://openalex.org/W2920889783","https://openalex.org/W2995198842","https://openalex.org/W3049641889","https://openalex.org/W3100362383","https://openalex.org/W3100383449","https://openalex.org/W3126941302","https://openalex.org/W3155988963","https://openalex.org/W3156516197","https://openalex.org/W3208387903","https://openalex.org/W3216401418","https://openalex.org/W4206556636","https://openalex.org/W4210335622","https://openalex.org/W4211049957","https://openalex.org/W4226326022","https://openalex.org/W4246840991","https://openalex.org/W6605566567","https://openalex.org/W6674989108","https://openalex.org/W6787503852"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W4229058035","https://openalex.org/W2560201613","https://openalex.org/W196429367","https://openalex.org/W2296389180"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,13,24,37,45,52,62,86,107],"kernel-based":[4],"learning":[5],"approach":[6,103],"for":[7,32],"black-box":[8],"nonlinear":[9],"state-space":[10],"models":[11,72],"with":[12,90],"focus":[14],"on":[15],"enforcing":[16],"model":[17,41,65],"stability.":[18],"Specifically,":[19],"we":[20],"aim":[21],"to":[22,44,73],"enforce":[23,94],"stability":[25,66],"notion":[26],"called":[27],"convergence":[28,97],"which":[29],"guarantees":[30],"that,":[31],"any":[33],"bounded":[34],"input":[35],"from":[36],"user-defined":[38,58],"class,":[39],"the":[40,70,78,95,102],"responses":[42],"converge":[43],"unique":[46],"steady-state":[47],"solution":[48],"that":[49,56,93],"remains":[50],"within":[51],"positively":[53],"invariant":[54],"set":[55],"is":[57,83],"and":[59],"bounded.":[60],"Such":[61],"form":[63],"of":[64,69,101],"provides":[67],"robustness":[68],"learned":[71],"new":[74],"inputs":[75],"unseen":[76],"during":[77],"training":[79],"phase.":[80],"The":[81,99],"problem":[82,89],"cast":[84],"as":[85],"convex":[87,91],"optimization":[88],"constraints":[92],"targeted":[96],"property.":[98],"benefits":[100],"are":[104],"illustrated":[105],"by":[106],"simulation":[108],"example.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}