{"id":"https://openalex.org/W2100711924","doi":"https://doi.org/10.1109/med.2013.6608820","title":"Further results on merging control Lyapunov functions for linear differential inclusions","display_name":"Further results on merging control Lyapunov functions for linear differential inclusions","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2100711924","doi":"https://doi.org/10.1109/med.2013.6608820","mag":"2100711924"},"language":"en","primary_location":{"id":"doi:10.1109/med.2013.6608820","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2013.6608820","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"21st Mediterranean Conference on Control and Automation","raw_type":"proceedings-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/A5006692330","display_name":"Sergio Grammatico","orcid":"https://orcid.org/0000-0002-6021-2350"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Sergio Grammatico","raw_affiliation_strings":["University of Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054472321","display_name":"Franco Blanchini","orcid":"https://orcid.org/0000-0002-4109-5531"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Franco Blanchini","raw_affiliation_strings":["University of Udine, Udine, Italy"],"affiliations":[{"raw_affiliation_string":"University of Udine, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079569776","display_name":"Andrea Caiti","orcid":"https://orcid.org/0000-0002-5780-3299"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Caiti","raw_affiliation_strings":["University of Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006692330"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16999898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"124","issue":null,"first_page":"840","last_page":"845"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987000226974487,"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/lyapunov-function","display_name":"Lyapunov function","score":0.6936118006706238},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6171393394470215},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5866597294807434},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.571600079536438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5341740250587463},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5283525586128235},{"id":"https://openalex.org/keywords/merge","display_name":"Merge (version control)","score":0.45484459400177},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.41467082500457764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3891248106956482},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.36967724561691284},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.368304967880249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36539456248283386},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35759928822517395},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16704952716827393},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08650088310241699}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6936118006706238},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6171393394470215},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5866597294807434},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.571600079536438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5341740250587463},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5283525586128235},{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.45484459400177},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.41467082500457764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3891248106956482},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.36967724561691284},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.368304967880249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36539456248283386},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35759928822517395},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16704952716827393},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08650088310241699},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/med.2013.6608820","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2013.6608820","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"21st Mediterranean Conference on Control and Automation","raw_type":"proceedings-article"},{"id":"pmh:oai:air.uniud.it:11390/1006952","is_oa":false,"landing_page_url":"http://hdl.handle.net/11390/1006952","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"4.1 Contributo in Atti di convegno"},{"id":"pmh:oai:arpi.unipi.it:11568/533116","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/533116","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W83782864","https://openalex.org/W578614108","https://openalex.org/W1522972598","https://openalex.org/W1525091166","https://openalex.org/W1597311754","https://openalex.org/W1880805667","https://openalex.org/W1969144114","https://openalex.org/W1973273925","https://openalex.org/W2020998673","https://openalex.org/W2021563297","https://openalex.org/W2024217766","https://openalex.org/W2026727219","https://openalex.org/W2045543512","https://openalex.org/W2049271566","https://openalex.org/W2057237107","https://openalex.org/W2057541071","https://openalex.org/W2068617307","https://openalex.org/W2071555678","https://openalex.org/W2076634083","https://openalex.org/W2085985420","https://openalex.org/W2089106311","https://openalex.org/W2093379483","https://openalex.org/W2095589469","https://openalex.org/W2101138302","https://openalex.org/W2101629603","https://openalex.org/W2103511860","https://openalex.org/W2104244890","https://openalex.org/W2116969400","https://openalex.org/W2120207446","https://openalex.org/W2123556633","https://openalex.org/W2137154260","https://openalex.org/W2141560115","https://openalex.org/W2147439098","https://openalex.org/W2149592887","https://openalex.org/W2162193446","https://openalex.org/W2171505650","https://openalex.org/W2178542250","https://openalex.org/W2500734973","https://openalex.org/W2734465626","https://openalex.org/W4242878961","https://openalex.org/W4298206858","https://openalex.org/W6631172057","https://openalex.org/W6642542322","https://openalex.org/W6664826822","https://openalex.org/W6669673427","https://openalex.org/W6675902639"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W3217133416","https://openalex.org/W2374426356","https://openalex.org/W2126112326","https://openalex.org/W1970635650","https://openalex.org/W2358066536","https://openalex.org/W2496188264","https://openalex.org/W2766646824","https://openalex.org/W2123782877"],"abstract_inverted_index":{"For":[0,72],"the":[1,21,29,32,41,69,107,119,125,129,133],"robust":[2],"stabilization":[3],"of":[4,23,53,68,110,124,132],"constrained":[5],"linear":[6],"differential":[7],"inclusions,":[8],"we":[9,75],"consider":[10],"non-homogeneous,":[11],"smooth,":[12],"composite":[13],"control":[14,49,56,116],"Lyapunov":[15],"functions":[16],"(CLFs)":[17],"which":[18],"belong":[19],"to":[20,34,81],"class":[22],"\u201cmerging\u201d":[24],"CLFs.":[25],"Previous":[26],"work":[27],"showed":[28],"equivalence":[30],"between":[31],"possibility":[33],"always":[35],"merge":[36,82],"two":[37,45],"given":[38],"CLFs":[39],"and":[40,55,91,128],"fact":[42],"that":[43],"these":[44],"share":[46],"a":[47,65,77,83,86,92,99,111,141],"common":[48],"law.":[50],"In":[51],"presence":[52],"state":[54,70],"constraints,":[57],"this":[58],"latter":[59],"property":[60],"may":[61],"hold":[62],"only":[63],"in":[64],"small":[66],"domain":[67],"space.":[71],"such":[73],"cases,":[74],"provide":[76],"novel":[78],"constructive":[79],"procedure":[80],"CLF":[84,93,127],"having":[85],"large":[87,120],"controlled":[88,101,121],"invariant":[89,102,122],"set":[90,123],"with":[94,98,118],"locally-optimal":[95,130],"performance":[96,131],"but":[97],"smaller":[100],"set.":[103],"Our":[104],"merging":[105],"allows":[106],"explicit":[108],"derivation":[109],"Lyapunov-based,":[112],"robustly":[113],"stabilizing,":[114],"continuous":[115],"law":[117],"former":[126],"latter.":[134],"The":[135],"theoretical":[136],"results":[137],"are":[138],"illustrated":[139],"via":[140],"numerical":[142],"example.":[143]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
