{"id":"https://openalex.org/W3117532757","doi":"https://doi.org/10.23919/ecc54610.2021.9655152","title":"Simultaneous Input and State Interval Observers for Nonlinear Systems with Rank-Deficient Direct Feedthrough","display_name":"Simultaneous Input and State Interval Observers for Nonlinear Systems with Rank-Deficient Direct Feedthrough","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3117532757","doi":"https://doi.org/10.23919/ecc54610.2021.9655152","mag":"3117532757"},"language":"en","primary_location":{"id":"doi:10.23919/ecc54610.2021.9655152","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc54610.2021.9655152","pdf_url":null,"source":{"id":"https://openalex.org/S4363608272","display_name":"2021 European Control Conference (ECC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.01861","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021873369","display_name":"Mohammad Khajenejad","orcid":"https://orcid.org/0000-0002-1684-8167"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad Khajenejad","raw_affiliation_strings":["School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011843629","display_name":"Sze Zheng Yong","orcid":"https://orcid.org/0000-0002-2104-3128"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sze Zheng Yong","raw_affiliation_strings":["School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA","Arizona State University**"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Arizona State University**","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":1.35,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74206877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2311","last_page":"2316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9997000098228455,"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/T11236","display_name":"Control Systems and Identification","score":0.9997000098228455,"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":0.9994000196456909,"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":0.9991999864578247,"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7295978665351868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7160159945487976},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7106019854545593},{"id":"https://openalex.org/keywords/feedthrough","display_name":"Feedthrough","score":0.7028627395629883},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.654859185218811},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6516005992889404},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5802997946739197},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5632749795913696},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5294822454452515},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5045896768569946},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5026540756225586},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4445106089115143},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.44118836522102356},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.43621742725372314},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.418783038854599},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36545008420944214},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20821210741996765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1919296681880951},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15213614702224731},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12049254775047302},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11426517367362976}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7295978665351868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7160159945487976},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7106019854545593},{"id":"https://openalex.org/C2777303812","wikidata":"https://www.wikidata.org/wiki/Q5441253","display_name":"Feedthrough","level":2,"score":0.7028627395629883},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.654859185218811},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6516005992889404},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5802997946739197},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5632749795913696},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5294822454452515},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5045896768569946},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5026540756225586},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4445106089115143},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.44118836522102356},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.43621742725372314},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.418783038854599},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36545008420944214},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20821210741996765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1919296681880951},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15213614702224731},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12049254775047302},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11426517367362976},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/ecc54610.2021.9655152","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc54610.2021.9655152","pdf_url":null,"source":{"id":"https://openalex.org/S4363608272","display_name":"2021 European Control Conference (ECC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2004.01861","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.01861","pdf_url":"https://arxiv.org/pdf/2004.01861","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3117532757","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.01861.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2004.01861","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.01861","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.01861","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.01861","pdf_url":"https://arxiv.org/pdf/2004.01861","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3117532757.pdf","grobid_xml":"https://content.openalex.org/works/W3117532757.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1528619270","https://openalex.org/W1569020924","https://openalex.org/W1896002532","https://openalex.org/W1974422302","https://openalex.org/W1987692687","https://openalex.org/W2015700462","https://openalex.org/W2024595066","https://openalex.org/W2051714921","https://openalex.org/W2065798383","https://openalex.org/W2084628204","https://openalex.org/W2088876556","https://openalex.org/W2095189861","https://openalex.org/W2132934431","https://openalex.org/W2138639894","https://openalex.org/W2148089743","https://openalex.org/W2178974553","https://openalex.org/W2211800216","https://openalex.org/W2586497845","https://openalex.org/W2885853501","https://openalex.org/W2911841687","https://openalex.org/W2915240060","https://openalex.org/W2963860791","https://openalex.org/W2964178292","https://openalex.org/W2993990461","https://openalex.org/W3004380583","https://openalex.org/W3011232442","https://openalex.org/W3011349559","https://openalex.org/W3120477265","https://openalex.org/W4254971495","https://openalex.org/W6773100119","https://openalex.org/W6773300168","https://openalex.org/W6903680674"],"related_works":["https://openalex.org/W3004380583","https://openalex.org/W3128563653","https://openalex.org/W2570551995","https://openalex.org/W1572443740","https://openalex.org/W2119340873","https://openalex.org/W2415097366","https://openalex.org/W2084668496","https://openalex.org/W2967077428","https://openalex.org/W2575347492","https://openalex.org/W2030789943","https://openalex.org/W2001789048","https://openalex.org/W2184952803","https://openalex.org/W1986411007","https://openalex.org/W2904222681","https://openalex.org/W3214448994","https://openalex.org/W1980832950","https://openalex.org/W1983992214","https://openalex.org/W2731160321","https://openalex.org/W3133615204","https://openalex.org/W2724580303"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,28,42,48,56,70,76,82,89,95,102],"problem":[3],"of":[4,30,47,81,84,88],"designing":[5],"simultaneous":[6],"input":[7,96],"and":[8,22,34,44,59,66,72,92,105],"state":[9,103],"interval":[10,86,97],"observers":[11],"for":[12,69,75],"Lipschitz":[13],"continuous":[14],"nonlinear":[15,31],"systems":[16],"with":[17],"rank-deficient":[18],"feedthrough,":[19],"unknown":[20,60],"inputs":[21],"bounded":[23],"noise":[24],"signals.":[25],"Benefiting":[26],"from":[27],"existence":[29,71],"decomposition":[32,106],"functions":[33],"affine":[35],"abstractions,":[36],"our":[37],"proposed":[38],"observer":[39],"recursively":[40],"computes":[41],"maximal":[43],"minimal":[45],"elements":[46],"estimate":[49,85],"intervals":[50,104],"that":[51,94],"are":[52,99],"proven":[53],"to":[54],"contain":[55],"true":[57],"states":[58],"inputs.":[61],"Moreover,":[62],"we":[63],"provide":[64],"necessary":[65],"sufficient":[67,73],"conditions":[68,74],"stability":[77],"(i.e.,":[78],"uniform":[79],"boundedness":[80],"sequence":[83],"widths)":[87],"designed":[90],"observer,":[91],"show":[93],"estimates":[98],"tight,":[100],"given":[101],"functions.":[107]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
