{"id":"https://openalex.org/W1578257013","doi":"https://doi.org/10.1109/cdc.2003.1272919","title":"A sufficient condition for locally controlled invariance of a manifold for general non linear systems","display_name":"A sufficient condition for locally controlled invariance of a manifold for general non linear systems","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1578257013","doi":"https://doi.org/10.1109/cdc.2003.1272919","mag":"1578257013"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1272919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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/A5048869539","display_name":"Luca Consolini","orcid":"https://orcid.org/0000-0002-3577-9398"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Consolini","raw_affiliation_strings":["Dipartimento di Ingegneria dellhformazione, Universit\u00e1 di Parma, Parma, Italy","Dipartimento di Ingegneria dell Informazione, Parma Univ., Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dellhformazione, Universit\u00e1 di Parma, Parma, Italy","institution_ids":["https://openalex.org/I124601658"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell Informazione, Parma Univ., Italy","institution_ids":["https://openalex.org/I124601658"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077595382","display_name":"Mario Tosques","orcid":"https://orcid.org/0000-0002-3710-7552"},"institutions":[{"id":"https://openalex.org/I124601658","display_name":"University of Parma","ror":"https://ror.org/02k7wn190","country_code":"IT","type":"education","lineage":["https://openalex.org/I124601658"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Tosques","raw_affiliation_strings":["Dipartimento di Ingegneria dellhformazione, Universit\u00e1 di Parma, Parma, Italy","Dipartimento di Ingegneria dell Informazione, Parma Univ., Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dellhformazione, Universit\u00e1 di Parma, Parma, Italy","institution_ids":["https://openalex.org/I124601658"]},{"raw_affiliation_string":"Dipartimento di Ingegneria dell Informazione, Parma Univ., Italy","institution_ids":["https://openalex.org/I124601658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I124601658"],"apc_list":null,"apc_paid":null,"fwci":0.4886,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54841021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"2053","last_page":"2058"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9976999759674072,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9976999759674072,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958999752998352,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","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/manifold","display_name":"Manifold (fluid mechanics)","score":0.553214430809021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3982188105583191},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37036240100860596},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35387006402015686},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0746530294418335}],"concepts":[{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.553214430809021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3982188105583191},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37036240100860596},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35387006402015686},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0746530294418335},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2003.1272919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1822791783","https://openalex.org/W1887006513","https://openalex.org/W1998112257","https://openalex.org/W2007454285","https://openalex.org/W2008030500","https://openalex.org/W2016086123","https://openalex.org/W2019442640","https://openalex.org/W2063533762","https://openalex.org/W2092405825","https://openalex.org/W2123702699","https://openalex.org/W3160954918","https://openalex.org/W4292872153"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,7,42,59,89],"sufficient":[4],"condition":[5,69],"for":[6],"manifold":[8,43],"\u00bf":[9,17,44,45,51,66,95],"to":[10,30,76],"be":[11],"locally":[12,47],"controlled":[13,48],"invariant":[14],"at":[15,49],"x0\u00bf":[16,50],"which":[18],"reduces,":[19],"in":[20,34,78,88,94],"the":[21,35,38],"cases":[22],"of":[23,54,91],"linear":[24,27],"and":[25],"non":[26],"affine":[28],"systems,":[29],"well":[31],"known":[32],"results":[33],"literature:":[36],"essentially":[37],"result":[39],"says":[40],"that":[41,63],"\u00bfnis":[46],"if":[52],"first":[53],"all":[55],"we":[56],"can":[57],"find":[58],"control":[60],"u0\u00bf":[61],"\u00bfmsuch":[62],"F(x0,":[64],"u0)":[65,93],"Tx0\u00bf":[67],"(this":[68],"is":[70],"evidently":[71],"necessary),":[72],"second":[73],"F(x,u)":[74],"continues":[75],"stay":[77],"something":[79],"larger":[80],"than":[81],"Tx\u00bf":[82,84],"(namely":[83],"+":[85],"\u00bfuF(x,":[86],"u)(\u00bfm))":[87],"neighborhood":[90],"(x0,":[92],"\u00d7":[96],"\u00bfm.":[97]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
