{"id":"https://openalex.org/W2288877642","doi":"https://doi.org/10.1109/cdc.2015.7402665","title":"Averaging for non-homogeneous switched DAEs","display_name":"Averaging for non-homogeneous switched DAEs","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2288877642","doi":"https://doi.org/10.1109/cdc.2015.7402665","mag":"2288877642"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402665","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","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/A5040635395","display_name":"Elisa Mostacciuolo","orcid":"https://orcid.org/0000-0002-8920-9585"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Elisa Mostacciuolo","raw_affiliation_strings":["Department of Engineering, University of Sannio, Benevento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043502547","display_name":"Stephan Trenn","orcid":"https://orcid.org/0000-0002-0947-0282"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephan Trenn","raw_affiliation_strings":["Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082366820","display_name":"Francesco Vasca","orcid":"https://orcid.org/0000-0002-0960-8683"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Vasca","raw_affiliation_strings":["Department of Engineering, University of Sannio, Benevento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040635395"],"corresponding_institution_ids":["https://openalex.org/I16337185"],"apc_list":null,"apc_paid":null,"fwci":2.5303,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89580063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":null,"first_page":"2951","last_page":"2956"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9955999851226807,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.995199978351593,"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/homogeneous","display_name":"Homogeneous","score":0.8154290318489075},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6308563947677612},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5406714081764221},{"id":"https://openalex.org/keywords/homogeneous-differential-equation","display_name":"Homogeneous differential equation","score":0.531525194644928},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4490174651145935},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44057315587997437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42082086205482483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41845065355300903},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.39559677243232727},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36262574791908264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2308894693851471},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19128119945526123},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.17734774947166443}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.8154290318489075},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6308563947677612},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5406714081764221},{"id":"https://openalex.org/C22219631","wikidata":"https://www.wikidata.org/wiki/Q2434565","display_name":"Homogeneous differential equation","level":5,"score":0.531525194644928},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4490174651145935},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44057315587997437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42082086205482483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41845065355300903},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.39559677243232727},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36262574791908264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2308894693851471},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19128119945526123},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.17734774947166443},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2015.7402665","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.704.7448","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.704.7448","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.stephantrenn.de/tl_files/Preprints/Preprint-MTV150901.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1575655907","https://openalex.org/W1590511252","https://openalex.org/W1975752531","https://openalex.org/W1981640399","https://openalex.org/W1983435197","https://openalex.org/W2008402346","https://openalex.org/W2043822753","https://openalex.org/W2053538665","https://openalex.org/W2053769764","https://openalex.org/W2068302798","https://openalex.org/W2074210163","https://openalex.org/W2076420060","https://openalex.org/W2084865659","https://openalex.org/W2095877777","https://openalex.org/W2099122896","https://openalex.org/W2108877677","https://openalex.org/W2124818983","https://openalex.org/W2124882062","https://openalex.org/W2130073982","https://openalex.org/W2132814250","https://openalex.org/W2135531724","https://openalex.org/W2147987701","https://openalex.org/W2151030225","https://openalex.org/W2151468333","https://openalex.org/W2153392004","https://openalex.org/W2156649228","https://openalex.org/W2159151607","https://openalex.org/W2160453748","https://openalex.org/W2169158757","https://openalex.org/W2170470417","https://openalex.org/W2288472305","https://openalex.org/W2477590956","https://openalex.org/W6635686761","https://openalex.org/W6679765590"],"related_works":["https://openalex.org/W2347435260","https://openalex.org/W2382658150","https://openalex.org/W2348403575","https://openalex.org/W2419155800","https://openalex.org/W2359059858","https://openalex.org/W2379168511","https://openalex.org/W2361682731","https://openalex.org/W2353151757","https://openalex.org/W234466039","https://openalex.org/W2047656848"],"abstract_inverted_index":{"Averaging":[0],"is":[1,40,59],"widely":[2],"used":[3],"for":[4,55],"approximating":[5],"the":[6,20,28,66,70],"dynamics":[7],"of":[8,13,69],"switched":[9,29,35,57,62],"systems.":[10],"The":[11],"validity":[12],"an":[14,43,52],"averaged":[15,44],"model":[16,45],"typically":[17],"depends":[18],"on":[19,24],"switching":[21],"frequency":[22],"and":[23],"some":[25],"technicalities":[26],"regarding":[27],"system":[30],"structure.":[31],"For":[32],"homogeneous":[33],"linear":[34],"differential":[36],"algebraic":[37],"equations":[38],"it":[39],"known":[41],"that":[42],"can":[46],"be":[47],"obtained.":[48],"In":[49],"this":[50],"paper":[51],"averaging":[53],"result":[54],"non-homogeneous":[56],"systems":[58],"presented.":[60],"A":[61],"electrical":[63],"circuit":[64],"illustrates":[65],"practical":[67],"interest":[68],"result.":[71]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
