{"id":"https://openalex.org/W2118590834","doi":"https://doi.org/10.1137/s0363012903416219","title":"Hybrid Necessary Principle","display_name":"Hybrid Necessary Principle","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2118590834","doi":"https://doi.org/10.1137/s0363012903416219","mag":"2118590834"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012903416219","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012903416219","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":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/I2802557943","display_name":"Agostino Gemelli University Polyclinic","ror":"https://ror.org/00rg70c39","country_code":"IT","type":"healthcare","lineage":["https://openalex.org/I2802557943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Garavello","raw_affiliation_strings":["Fondazione Policlinico Universitario \u201cAgostino Gemelli\u201d IRCCS"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fondazione Policlinico Universitario \u201cAgostino Gemelli\u201d IRCCS","institution_ids":["https://openalex.org/I2802557943"]}]},{"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/I2802557943","display_name":"Agostino Gemelli University Polyclinic","ror":"https://ror.org/00rg70c39","country_code":"IT","type":"healthcare","lineage":["https://openalex.org/I2802557943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Benedetto Piccoli","raw_affiliation_strings":["Fondazione Policlinico Universitario \u201cAgostino Gemelli\u201d IRCCS"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fondazione Policlinico Universitario \u201cAgostino Gemelli\u201d IRCCS","institution_ids":["https://openalex.org/I2802557943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2802557943"],"apc_list":null,"apc_paid":null,"fwci":250.9259,"has_fulltext":false,"cited_by_count":135,"citation_normalized_percentile":{"value":0.99962252,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"43","issue":"5","first_page":"1867","last_page":"1887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9944000244140625,"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":0.9944000244140625,"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":0.9922999739646912,"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":0.9900000095367432,"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/mathematics","display_name":"Mathematics","score":0.770361065864563},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6338656544685364},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.575425386428833},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.527567982673645},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44896769523620605},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4277902841567993},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4241487681865692},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3913234770298004},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3254969120025635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1850954294204712},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12438938021659851}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.770361065864563},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6338656544685364},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.575425386428833},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.527567982673645},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44896769523620605},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4277902841567993},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4241487681865692},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3913234770298004},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3254969120025635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1850954294204712},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12438938021659851},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0363012903416219","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012903416219","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:boa.unimib.it:10281/37071","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/37071","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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/conferenceObject"},{"id":"pmh:oai:boa.unimib.it:10281/37078","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/37078","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W564809451","https://openalex.org/W1972908515","https://openalex.org/W2008695940","https://openalex.org/W2038636226","https://openalex.org/W2049723320","https://openalex.org/W2065740927","https://openalex.org/W2090451298","https://openalex.org/W2103176549","https://openalex.org/W2142440350","https://openalex.org/W2152185829","https://openalex.org/W2172919882","https://openalex.org/W2561419904","https://openalex.org/W2913332731","https://openalex.org/W4256323536","https://openalex.org/W4313060656"],"related_works":["https://openalex.org/W2962746246","https://openalex.org/W1967384683","https://openalex.org/W1520410026","https://openalex.org/W4292923857","https://openalex.org/W4285534277","https://openalex.org/W1989531755","https://openalex.org/W3209004265","https://openalex.org/W4211240924","https://openalex.org/W2031281152","https://openalex.org/W2771042763"],"abstract_inverted_index":{"We":[0,14],"consider":[1],"a":[2,36],"hybrid":[3,33,37],"control":[4,9,23],"system":[5],"and":[6,25],"general":[7],"optimal":[8,32],"problems":[10],"for":[11,30],"this":[12],"system.":[13],"suppose":[15],"that":[16],"the":[17,49],"switching":[18],"strategy":[19],"imposes":[20],"restrictions":[21],"on":[22],"sets":[24],"we":[26],"provide":[27],"necessary":[28,38,45],"conditions":[29],"an":[31],"trajectory,":[34],"stating":[35],"principle":[39],"(HNP).":[40],"Our":[41],"result":[42],"generalizes":[43],"various":[44],"principles":[46],"available":[47],"in":[48],"literature.":[50]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
