{"id":"https://openalex.org/W2001175742","doi":"https://doi.org/10.1109/cdc.2011.6160907","title":"Model reduction of nonlinear systems with bounded incremental &amp;#x2122;&lt;inf&gt;2&lt;/inf&gt; gain","display_name":"Model reduction of nonlinear systems with bounded incremental &amp;#x2122;&lt;inf&gt;2&lt;/inf&gt; gain","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2001175742","doi":"https://doi.org/10.1109/cdc.2011.6160907","mag":"2001175742"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160907","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160907","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/A5083507299","display_name":"Bart Besselink","orcid":"https://orcid.org/0000-0001-5194-3306"},"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":"Bart Besselink","raw_affiliation_strings":["Dynamics and Control group, Department of Mechanical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","Dynamics and Control group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dynamics and Control group, Department of Mechanical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Dynamics and Control group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","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":"Nathan van de Wouw","raw_affiliation_strings":["Dynamics and Control group, Department of Mechanical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","Dynamics and Control group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dynamics and Control group, Department of Mechanical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Dynamics and Control group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022300438","display_name":"Henk Nijmeijer","orcid":"https://orcid.org/0000-0001-5883-6191"},"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":"Henk Nijmeijer","raw_affiliation_strings":["Dynamics and Control group, Department of Mechanical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","Dynamics and Control group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dynamics and Control group, Department of Mechanical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Dynamics and Control group, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":1.1023,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82170995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"7170","last_page":"7175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12810","display_name":"Real-time simulation and control systems","score":0.9700999855995178,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7596637010574341},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7375925183296204},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6942356824874878},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5477428436279297},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5248568058013916},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4952150881290436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39560794830322266},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37732934951782227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37386688590049744},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14383801817893982},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11559340357780457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10592198371887207}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7596637010574341},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7375925183296204},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6942356824874878},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5477428436279297},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5248568058013916},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4952150881290436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39560794830322266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37732934951782227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37386688590049744},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14383801817893982},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11559340357780457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10592198371887207},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2011.6160907","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160907","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1984714339","https://openalex.org/W1988376519","https://openalex.org/W2026769037","https://openalex.org/W2050759541","https://openalex.org/W2064733273","https://openalex.org/W2067070250","https://openalex.org/W2079665343","https://openalex.org/W2095477585","https://openalex.org/W2112823474","https://openalex.org/W2114105019","https://openalex.org/W2121557590","https://openalex.org/W2124214538","https://openalex.org/W2133642820","https://openalex.org/W2138190945","https://openalex.org/W2144355672","https://openalex.org/W2163439281","https://openalex.org/W2165808313","https://openalex.org/W4214690803"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W2006389905","https://openalex.org/W4297797135","https://openalex.org/W2904666330","https://openalex.org/W64182352"],"abstract_inverted_index":{"A":[0],"model":[1,54],"reduction":[2,55],"procedure":[3],"for":[4,40,61],"a":[5,25,32,90,98],"class":[6],"of":[7,28,35,63,78,104,113],"nonlinear":[8,33,66,84],"systems":[9,17],"is":[10,49,86,109],"presented":[11],"in":[12,43,76,101],"the":[13,46,64,79,83,102,105],"current":[14],"paper.":[15],"Nonlinear":[16],"are":[18,68],"considered":[19],"that":[20],"can":[21],"be":[22,97],"decomposed":[23],"into":[24],"linear":[26,47,53],"subsystem":[27,34,48,85],"high":[29],"order":[30],"and":[31],"relatively":[36],"low":[37],"order,":[38],"allowing":[39],"an":[41,73,114],"approach":[42],"which":[44,94],"only":[45],"reduced":[50],"using":[51],"well-developed":[52],"techniques.":[56],"For":[57],"this":[58],"approach,":[59],"conditions":[60],"stability":[62],"reduced-order":[65],"system":[67],"given,":[69],"as":[70,72],"well":[71],"error":[74],"bound":[75],"terms":[77],"\u21222signal":[80],"norm.":[81],"Herein,":[82],"assumed":[87],"to":[88,96],"have":[89],"bounded":[91],"incremental":[92],"\u21222gain,":[93],"proves":[95],"crucial":[99],"property":[100],"derivation":[103],"results.":[106],"The":[107],"method":[108],"illustrated":[110],"by":[111],"means":[112],"example.":[115]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
