{"id":"https://openalex.org/W4399526185","doi":"https://doi.org/10.1109/lcsys.2024.3412864","title":"Stabilizability of Switched Differential Algebraic Equations: A Solvability-Based Approach","display_name":"Stabilizability of Switched Differential Algebraic Equations: A Solvability-Based Approach","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399526185","doi":"https://doi.org/10.1109/lcsys.2024.3412864"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3412864","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3412864","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","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/A5025117316","display_name":"Phani Raj","orcid":"https://orcid.org/0000-0002-4395-2568"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Phani Raj","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0002-4395-2568","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022706065","display_name":"Debasattam Pal","orcid":"https://orcid.org/0000-0002-4886-3003"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Debasattam Pal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"raw_orcid":"https://orcid.org/0000-0002-4886-3003","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I162827531"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12295082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"1457","last_page":"1462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9955999851226807,"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":0.9955999851226807,"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/T13286","display_name":"Modeling and Simulation Systems","score":0.9082000255584717,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6967953443527222},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.6124470829963684},{"id":"https://openalex.org/keywords/differential-algebraic-geometry","display_name":"Differential algebraic geometry","score":0.5941086411476135},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5853946805000305},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5677582621574402},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45064032077789307},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4435670077800751},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3572004437446594},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3379324674606323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3056768774986267},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.15858975052833557},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09173581004142761}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6967953443527222},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.6124470829963684},{"id":"https://openalex.org/C26959085","wikidata":"https://www.wikidata.org/wiki/Q5275330","display_name":"Differential algebraic geometry","level":5,"score":0.5941086411476135},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5853946805000305},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5677582621574402},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45064032077789307},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4435670077800751},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3572004437446594},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3379324674606323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3056768774986267},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.15858975052833557},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09173581004142761},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2024.3412864","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3412864","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W26747998","https://openalex.org/W1552094772","https://openalex.org/W1628230797","https://openalex.org/W1631683393","https://openalex.org/W2024872140","https://openalex.org/W2050273699","https://openalex.org/W2062421897","https://openalex.org/W2062974796","https://openalex.org/W2071853872","https://openalex.org/W2084970142","https://openalex.org/W2087617266","https://openalex.org/W2099446088","https://openalex.org/W2127715988","https://openalex.org/W2135526457","https://openalex.org/W2151030225","https://openalex.org/W2157184494","https://openalex.org/W2537197398","https://openalex.org/W2616673271","https://openalex.org/W3095908489","https://openalex.org/W3155942199","https://openalex.org/W4254671851","https://openalex.org/W4393241131","https://openalex.org/W6636671520"],"related_works":["https://openalex.org/W2502480061","https://openalex.org/W21216597","https://openalex.org/W2924426067","https://openalex.org/W2517966731","https://openalex.org/W2051868556","https://openalex.org/W4298202720","https://openalex.org/W4288410816","https://openalex.org/W2023803998","https://openalex.org/W4297727061","https://openalex.org/W2047656848"],"abstract_inverted_index":{"In":[0],"this":[1,46],"letter,":[2],"we":[3,65],"establish":[4],"a":[5,68,73],"Lie":[6,30,41,62],"algebraic":[7,15,42,63],"solvability-based":[8],"criterion":[9,44,52],"for":[10,57],"stabilizability":[11,43],"of":[12,20,45,84],"switched":[13,58],"differential":[14],"equations":[16],"(switched":[17],"DAEs)":[18],"consisting":[19],"individually":[21],"unstable":[22],"subsystems.":[23],"It":[24],"is":[25,36],"well":[26],"known":[27],"that":[28],"the":[29,40,49,54,61,79,82],"algebra":[31],"generated":[32],"by":[33],"commuting":[34],"matrices":[35],"trivially":[37],"solvable.":[38],"Thus,":[39],"letter":[47],"generalizes":[48],"existing":[50],"commutativity-based":[51],"in":[53],"literature.":[55],"Furthermore,":[56],"DAEs":[59],"satisfying":[60],"criterion,":[64],"explicitly":[66],"provide":[67],"simple":[69],"method":[70],"to":[71],"construct":[72],"stabilizing":[74],"switching":[75],"signal":[76],"and":[77],"demonstrate":[78],"same":[80],"with":[81],"help":[83],"an":[85],"example.":[86]},"counts_by_year":[],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}