{"id":"https://openalex.org/W2024708635","doi":"https://doi.org/10.1016/0005-1098(95)00025-r","title":"A popov criterion for uncertain linear multivariable systems","display_name":"A popov criterion for uncertain linear multivariable systems","publication_year":1995,"publication_date":"1995-07-01","ids":{"openalex":"https://openalex.org/W2024708635","doi":"https://doi.org/10.1016/0005-1098(95)00025-r","mag":"2024708635"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(95)00025-r","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(95)00025-r","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"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":"Automatica","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/A5009770702","display_name":"Dennis S. Bernstein","orcid":"https://orcid.org/0000-0003-0399-3039"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dennis S. Bernstein","raw_affiliation_strings":["Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2118, U.S.A","Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109\u20102118, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2118, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109\u20102118, U.S.A","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033711937","display_name":"Wassim M. Haddad","orcid":"https://orcid.org/0000-0002-4362-3043"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wassim M. Haddad","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, U.S.A","School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332\u20100150, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, U.S.A","institution_ids":[]},{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332\u20100150, U.S.A","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111912613","display_name":"Andrew G. Sparks","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew G. Sparks","raw_affiliation_strings":["Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2118, U.S.A","Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109\u20102118, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2118, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109\u20102118, U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009770702"],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":6.5798,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.96722523,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"7","first_page":"1061","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9976999759674072,"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":0.7744681239128113},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.7290738821029663},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6909455060958862},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6487026214599609},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.5200569033622742},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4972884953022003},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4487334191799164},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4472382068634033},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4338884651660919},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.4246992766857147},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3585013151168823},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.20224618911743164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13598686456680298},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1351148784160614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13082081079483032},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12965700030326843},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07392275333404541}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7744681239128113},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7290738821029663},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6909455060958862},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6487026214599609},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.5200569033622742},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4972884953022003},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4487334191799164},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4472382068634033},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4338884651660919},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.4246992766857147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3585013151168823},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.20224618911743164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13598686456680298},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1351148784160614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13082081079483032},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12965700030326843},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07392275333404541},{"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0005-1098(95)00025-r","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(95)00025-r","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"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":"Automatica","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":6,"referenced_works":["https://openalex.org/W1537654242","https://openalex.org/W1556195853","https://openalex.org/W1948872058","https://openalex.org/W2120581895","https://openalex.org/W6632115073","https://openalex.org/W6678132449"],"related_works":["https://openalex.org/W1576377477","https://openalex.org/W2721687755","https://openalex.org/W2224575301","https://openalex.org/W418212511","https://openalex.org/W2388146630","https://openalex.org/W2086932047","https://openalex.org/W2099048101","https://openalex.org/W1964208669","https://openalex.org/W2112363989","https://openalex.org/W13811253"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
