{"id":"https://openalex.org/W4411086160","doi":"https://doi.org/10.1109/lcsys.2025.3577235","title":"On Sampling Time and Invariance","display_name":"On Sampling Time and Invariance","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4411086160","doi":"https://doi.org/10.1109/lcsys.2025.3577235"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2025.3577235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3577235","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/A5117851875","display_name":"Spencer Schutz","orcid":"https://orcid.org/0009-0003-7943-808X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Spencer Schutz","raw_affiliation_strings":["Mechanical Engineering Department, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0009-0003-7943-808X","affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007527502","display_name":"Charlott Vallon","orcid":"https://orcid.org/0000-0002-1505-1607"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charlott Vallon","raw_affiliation_strings":["Mechanical Engineering Department, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1505-1607","affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012870568","display_name":"Benjamin Recht","orcid":"https://orcid.org/0000-0002-0293-593X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Recht","raw_affiliation_strings":["EECS Department, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025067440","display_name":"Francesco Borrelli","orcid":"https://orcid.org/0000-0001-8919-6430"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francesco Borrelli","raw_affiliation_strings":["Mechanical Engineering Department, University of California at Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-8919-6430","affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.7779,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70997413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"919","last_page":"924"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9990000128746033,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.4575873613357544},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.45379674434661865},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3875248432159424},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3592471480369568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2887682616710663},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21373113989830017},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1184847354888916}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4575873613357544},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.45379674434661865},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3875248432159424},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3592471480369568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2887682616710663},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21373113989830017},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1184847354888916},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2025.3577235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3577235","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":[{"id":"https://openalex.org/G5183039297","display_name":null,"funder_award_id":"N00014-24-2099","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W2031471327","https://openalex.org/W2089557294","https://openalex.org/W2094677093","https://openalex.org/W2103622286","https://openalex.org/W2171505650","https://openalex.org/W2175888109","https://openalex.org/W2334480697","https://openalex.org/W2565023526","https://openalex.org/W2604410735","https://openalex.org/W2749680651","https://openalex.org/W2899352355","https://openalex.org/W2963314509","https://openalex.org/W2963606896","https://openalex.org/W3007975121","https://openalex.org/W3213848218","https://openalex.org/W4315472354","https://openalex.org/W4376464647","https://openalex.org/W4395687491","https://openalex.org/W4396214277","https://openalex.org/W4407414165","https://openalex.org/W4411086160","https://openalex.org/W6864945519"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W3107697994"],"abstract_inverted_index":{"Invariant":[0],"sets":[1,22,37],"define":[2],"regions":[3],"of":[4,16,61],"the":[5,72,94],"state":[6],"space":[7],"where":[8],"system":[9],"constraints":[10],"are":[11],"always":[12],"satisfied.":[13],"The":[14],"majority":[15],"numerical":[17],"techniques":[18],"for":[19,26,44,96],"computing":[20],"invariant":[21,36],"have":[23],"been":[24],"developed":[25],"discrete-time":[27],"systems":[28],"with":[29,39],"a":[30,59],"fixed":[31],"sampling":[32,40,76],"time.":[33],"Understanding":[34],"how":[35],"change":[38],"time":[41],"is":[42],"critical":[43],"designing":[45],"adaptive-sampling":[46,97],"control":[47,57,63,75,85,98],"schemes":[48],"that":[49],"ensure":[50],"constraint":[51,79],"satisfaction.":[52,80],"We":[53,81],"introduce":[54],"M-step":[55,83],"hold":[56,84],"invariance,":[58,64],"generalization":[60],"traditional":[62],"and":[65,78,90],"show":[66],"its":[67],"practical":[68],"use":[69],"to":[70],"assess":[71],"link":[73],"between":[74],"frequency":[77],"robustify":[82],"invariance":[86],"against":[87],"model":[88],"mismatches":[89],"discretization":[91],"errors,":[92],"paving":[93],"way":[95],"strategies.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
