{"id":"https://openalex.org/W2177109275","doi":"https://doi.org/10.1109/cdc.2005.1582242","title":"Hybrid Necessary Principle","display_name":"Hybrid Necessary Principle","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2177109275","doi":"https://doi.org/10.1109/cdc.2005.1582242","mag":"2177109275"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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/A5049255296","display_name":"Mauro Garavello","orcid":"https://orcid.org/0000-0002-6127-8984"},"institutions":[{"id":"https://openalex.org/I4210131308","display_name":"I.R.C.C.S. Oasi Maria SS","ror":"https://ror.org/03cvbjc43","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210131308"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Garavello","raw_affiliation_strings":["I. A. C-C. N. R., Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I. A. C-C. N. R., Rome, Italy","institution_ids":["https://openalex.org/I4210131308"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057629608","display_name":"Benedetto Piccoli","orcid":"https://orcid.org/0000-0002-6000-5394"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"B. Piccoli","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"723","last_page":"728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12158","display_name":"Guidance and Control Systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/hybrid-system","display_name":"Hybrid system","score":0.7242139577865601},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6088777780532837},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5794034004211426},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5467457175254822},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5385104417800903},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4206228256225586},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41505396366119385},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39549505710601807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31020665168762207},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1823747754096985},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.142750084400177}],"concepts":[{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.7242139577865601},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6088777780532837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5794034004211426},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5467457175254822},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5385104417800903},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4206228256225586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41505396366119385},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39549505710601807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31020665168762207},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1823747754096985},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.142750084400177},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1582242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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":29,"referenced_works":["https://openalex.org/W1519743817","https://openalex.org/W1528856837","https://openalex.org/W1530117215","https://openalex.org/W1572548753","https://openalex.org/W1582706191","https://openalex.org/W1821711670","https://openalex.org/W1897974356","https://openalex.org/W2008695940","https://openalex.org/W2028475708","https://openalex.org/W2038636226","https://openalex.org/W2049723320","https://openalex.org/W2065740927","https://openalex.org/W2090451298","https://openalex.org/W2103176549","https://openalex.org/W2118590834","https://openalex.org/W2126554300","https://openalex.org/W2135667955","https://openalex.org/W2142440350","https://openalex.org/W2152185829","https://openalex.org/W2169434740","https://openalex.org/W2170619231","https://openalex.org/W2172919882","https://openalex.org/W2508247887","https://openalex.org/W2561419904","https://openalex.org/W2913332731","https://openalex.org/W6631668509","https://openalex.org/W6638202976","https://openalex.org/W6639853348","https://openalex.org/W6684710427"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W4248382324","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W3023605104","https://openalex.org/W2086351220","https://openalex.org/W2355865573","https://openalex.org/W2155981143","https://openalex.org/W2155245395"],"abstract_inverted_index":{"We":[0,14],"consider":[1],"a":[2,35],"hybrid":[3,32],"control":[4,9,23],"system":[5],"and":[6,25],"general":[7],"optimal":[8,31],"problems":[10],"for":[11,29],"this":[12],"system.":[13],"suppose":[15],"that":[16],"the":[17,48],"switching":[18],"strategy":[19],"imposes":[20],"restrictions":[21],"on":[22],"sets":[24],"weprovide":[26],"necessary":[27,44],"conditions":[28],"an":[30],"trajectory,":[33],"stating":[34],"Hybrid":[36],"Necessary":[37],"Principle":[38],"(HNP).":[39],"Our":[40],"result":[41],"generalizes":[42],"various":[43],"principles":[45],"available":[46],"in":[47],"literature.":[49]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}