{"id":"https://openalex.org/W2118774253","doi":"https://doi.org/10.1002/nla.1822","title":"Robust Hurwitz and Schur stability via interval positivity","display_name":"Robust Hurwitz and Schur stability via interval positivity","publication_year":2012,"publication_date":"2012-01-11","ids":{"openalex":"https://openalex.org/W2118774253","doi":"https://doi.org/10.1002/nla.1822","mag":"2118774253"},"language":"en","primary_location":{"id":"doi:10.1002/nla.1822","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.1822","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5032201822","display_name":"L.H. Keel","orcid":null},"institutions":[{"id":"https://openalex.org/I75256744","display_name":"Tennessee State University","ror":"https://ror.org/01fpczx89","country_code":"US","type":"education","lineage":["https://openalex.org/I75256744"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. H. Keel","raw_affiliation_strings":["Department of Electrical and Computer Engineering Tennessee State University  Nashville TN 37209 U.S.A","Department of Electrical and Computer Engineering, Tennessee State University, Nashville, TN 37209, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Tennessee State University  Nashville TN 37209 U.S.A","institution_ids":["https://openalex.org/I75256744"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Tennessee State University, Nashville, TN 37209, U.S.A","institution_ids":["https://openalex.org/I75256744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072502943","display_name":"T. F. Stratton","orcid":null},"institutions":[{"id":"https://openalex.org/I75256744","display_name":"Tennessee State University","ror":"https://ror.org/01fpczx89","country_code":"US","type":"education","lineage":["https://openalex.org/I75256744"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. F. Stratton","raw_affiliation_strings":["Center of Excellence in Information Systems Tennessee State University  Nashville TN 37209 U.S.A","Center of Excellence in Information Systems Tennessee State University Nashville TN 37209 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Excellence in Information Systems Tennessee State University  Nashville TN 37209 U.S.A","institution_ids":["https://openalex.org/I75256744"]},{"raw_affiliation_string":"Center of Excellence in Information Systems Tennessee State University Nashville TN 37209 U.S.A","institution_ids":["https://openalex.org/I75256744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041121124","display_name":"S.P. Bhattacharyya","orcid":"https://orcid.org/0000-0001-9207-3298"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. P. Bhattacharyya","raw_affiliation_strings":["Department of Electrical and Computer Engineering Texas A&amp;M University  College Station TX 77843 U.S.A","Department of Electrical and Computer Engineering Texas A&amp;M University College Station TX 77843 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Texas A&amp;M University  College Station TX 77843 U.S.A","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering Texas A&amp;M University College Station TX 77843 U.S.A","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032201822"],"corresponding_institution_ids":["https://openalex.org/I75256744"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":0.5683,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7590475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"20","issue":"2","first_page":"281","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9993000030517578,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9993000030517578,"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/T10142","display_name":"Formal Methods in Verification","score":0.9869999885559082,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9747999906539917,"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":0.7744828462600708},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6403075456619263},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5636169910430908},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4986755847930908},{"id":"https://openalex.org/keywords/schur-decomposition","display_name":"Schur decomposition","score":0.48366865515708923},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.4538132846355438},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4529236853122711},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4249323010444641},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41904976963996887},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.41843974590301514},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2294001281261444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1575019657611847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14947107434272766}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7744828462600708},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6403075456619263},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5636169910430908},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4986755847930908},{"id":"https://openalex.org/C99383703","wikidata":"https://www.wikidata.org/wiki/Q1064218","display_name":"Schur decomposition","level":4,"score":0.48366865515708923},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.4538132846355438},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4529236853122711},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4249323010444641},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41904976963996887},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.41843974590301514},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2294001281261444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1575019657611847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14947107434272766},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/nla.1822","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.1822","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W594073344","https://openalex.org/W1968249360","https://openalex.org/W1997421730","https://openalex.org/W2037102990","https://openalex.org/W2052799855","https://openalex.org/W2087860679","https://openalex.org/W2125179080","https://openalex.org/W2618328971"],"related_works":["https://openalex.org/W1975201729","https://openalex.org/W2064598248","https://openalex.org/W3092306907","https://openalex.org/W2074771309","https://openalex.org/W2551678916","https://openalex.org/W1985400098","https://openalex.org/W3115487577","https://openalex.org/W1510582995","https://openalex.org/W1986380039","https://openalex.org/W2146459776"],"abstract_inverted_index":{"SUMMARY":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"develop":[5],"a":[6,18],"new":[7],"approach":[8],"to":[9,48],"computing":[10],"the":[11,42,57],"entire":[12],"set":[13],"of":[14,59],"stabilizing":[15],"controllers":[16],"for":[17],"given":[19],"continuous\u2010time":[20],"linear":[21],"time\u2010invariant":[22],"system":[23],"by":[24],"using":[25],"recent":[26],"results":[27],"from":[28],"interval":[29],"positivity.":[30],"The":[31,37],"discrete":[32],"counterpart":[33],"is":[34],"also":[35],"presented.":[36],"approaches":[38],"are":[39,53],"based":[40],"on":[41,56],"sign\u2010definite":[43],"decomposition":[44],"that":[45,52],"enables":[46],"us":[47],"deal":[49],"with":[50],"functions":[51],"polynomially":[54],"dependent":[55],"parameters":[58],"interests.":[60],"Copyright":[61],"\u00a9":[62],"2012":[63],"John":[64],"Wiley":[65],"&amp;":[66],"Sons,":[67],"Ltd.":[68]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
