{"id":"https://openalex.org/W2053336042","doi":"https://doi.org/10.1016/s0167-6911(03)00222-6","title":"Stability of partial difference equations governing control gains in infinite-dimensional backstepping","display_name":"Stability of partial difference equations governing control gains in infinite-dimensional backstepping","publication_year":2003,"publication_date":"2003-09-12","ids":{"openalex":"https://openalex.org/W2053336042","doi":"https://doi.org/10.1016/s0167-6911(03)00222-6","mag":"2053336042"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-6911(03)00222-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6911(03)00222-6","pdf_url":null,"source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems &amp; Control Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt4c33f7vf/qt4c33f7vf.pdf?t=lnr102","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023194964","display_name":"Andr\u00e1s Balogh","orcid":"https://orcid.org/0000-0002-0634-1610"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andras Balogh","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018293076","display_name":"Miroslav Krsti\u0107","orcid":"https://orcid.org/0000-0002-5523-941X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Miroslav Krstic","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018293076"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":1.636,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.85559669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"2","first_page":"151","last_page":"164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.960099995136261,"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":0.8368047475814819},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.7823037505149841},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5689332485198975},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5364115834236145},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5178113579750061},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48667365312576294},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.47849076986312866},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4588930606842041},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4326321482658386},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34652596712112427},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20637673139572144},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11808818578720093},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.0944613516330719}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8368047475814819},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.7823037505149841},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5689332485198975},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5364115834236145},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5178113579750061},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48667365312576294},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.47849076986312866},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4588930606842041},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4326321482658386},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34652596712112427},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20637673139572144},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11808818578720093},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.0944613516330719},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0167-6911(03)00222-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6911(03)00222-6","pdf_url":null,"source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems &amp; Control Letters","raw_type":"journal-article"},{"id":"pmh:qt4c33f7vf","is_oa":true,"landing_page_url":"http://www.escholarship.org/uc/item/4c33f7vf","pdf_url":"https://escholarship.org/content/qt4c33f7vf/qt4c33f7vf.pdf?t=lnr102","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Balogh, Andras; &amp; Krstic, Miroslav. (2004). Stability of partial difference equations governing control gains in infinite-dimensional backstepping. Systems &amp; Control Letters, 51(2), 151 - 164. UC San Diego: Retrieved from: http://www.escholarship.org/uc/item/4c33f7vf","raw_type":"article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt4c33f7vf","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/4c33f7vf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Systems &amp; Control Letters, vol 51, iss 2","raw_type":"article"}],"best_oa_location":{"id":"pmh:qt4c33f7vf","is_oa":true,"landing_page_url":"http://www.escholarship.org/uc/item/4c33f7vf","pdf_url":"https://escholarship.org/content/qt4c33f7vf/qt4c33f7vf.pdf?t=lnr102","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Balogh, Andras; &amp; Krstic, Miroslav. (2004). Stability of partial difference equations governing control gains in infinite-dimensional backstepping. Systems &amp; Control Letters, 51(2), 151 - 164. UC San Diego: Retrieved from: http://www.escholarship.org/uc/item/4c33f7vf","raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2053336042.pdf","grobid_xml":"https://content.openalex.org/works/W2053336042.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W30907860","https://openalex.org/W245278405","https://openalex.org/W1571050689","https://openalex.org/W1602967628","https://openalex.org/W1973024161","https://openalex.org/W1994907531","https://openalex.org/W2011105296","https://openalex.org/W2026769037","https://openalex.org/W2066096538","https://openalex.org/W2072685235","https://openalex.org/W2077764904","https://openalex.org/W2097415784","https://openalex.org/W2161494168","https://openalex.org/W2307581080","https://openalex.org/W2326886507","https://openalex.org/W2330548796","https://openalex.org/W2334095483","https://openalex.org/W2798909945","https://openalex.org/W4245735018","https://openalex.org/W6634117643"],"related_works":["https://openalex.org/W2099991058","https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W2385175414","https://openalex.org/W1972359478","https://openalex.org/W2083817219","https://openalex.org/W2264582182","https://openalex.org/W3047860677","https://openalex.org/W1850237974","https://openalex.org/W2969693569"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}
