{"id":"https://openalex.org/W1901589309","doi":"https://doi.org/10.3233/jcm-2004-41-215","title":"Stability of continuous systems by Routh-Hurwitz and mathematica","display_name":"Stability of continuous systems by Routh-Hurwitz and mathematica","publication_year":2004,"publication_date":"2004-10-13","ids":{"openalex":"https://openalex.org/W1901589309","doi":"https://doi.org/10.3233/jcm-2004-41-215","mag":"1901589309"},"language":"en","primary_location":{"id":"doi:10.3233/jcm-2004-41-215","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2004-41-215","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","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/A5028590281","display_name":"Jos\u00e9 C. Valverde","orcid":"https://orcid.org/0000-0002-3214-9606"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose C. Valverde","raw_affiliation_strings":["Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain","(Corresponding author. E-mail: valverde@pol-ab.uclm.es) Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 - Albacete, Spain#TAB#"],"affiliations":[{"raw_affiliation_string":"Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]},{"raw_affiliation_string":"(Corresponding author. E-mail: valverde@pol-ab.uclm.es) Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 - Albacete, Spain#TAB#","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077645135","display_name":"Fernando L. Pelayo","orcid":"https://orcid.org/0000-0001-7849-087X"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Fernando L. Pelayo","raw_affiliation_strings":["Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain"],"affiliations":[{"raw_affiliation_string":"Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103816779","display_name":"Juan Antonio Mart\u00ednez","orcid":null},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan A. Martinez","raw_affiliation_strings":["Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain"],"affiliations":[{"raw_affiliation_string":"Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002502504","display_name":"J. J. Miralles","orcid":null},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan J. Miralles","raw_affiliation_strings":["Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain"],"affiliations":[{"raw_affiliation_string":"Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 \u2013 Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028590281"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.05904582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"1-2","first_page":"125","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9483000040054321,"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/T14082","display_name":"Modeling, Simulation, and Optimization","score":0.9419000148773193,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/routh\u2013hurwitz-stability-criterion","display_name":"Routh\u2013Hurwitz stability criterion","score":0.9547601938247681},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.7087355256080627},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6961443424224854},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.52833092212677},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.522354245185852},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5013468265533447},{"id":"https://openalex.org/keywords/hurwitz-polynomial","display_name":"Hurwitz polynomial","score":0.4840494990348816},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4603111743927002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4045931398868561},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3077352046966553},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.10839641094207764},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10567641258239746},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09776297211647034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09548905491828918},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.058585941791534424}],"concepts":[{"id":"https://openalex.org/C1366977","wikidata":"https://www.wikidata.org/wiki/Q2621270","display_name":"Routh\u2013Hurwitz stability criterion","level":3,"score":0.9547601938247681},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7087355256080627},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6961443424224854},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.52833092212677},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.522354245185852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5013468265533447},{"id":"https://openalex.org/C120501884","wikidata":"https://www.wikidata.org/wiki/Q1414214","display_name":"Hurwitz polynomial","level":3,"score":0.4840494990348816},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4603111743927002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4045931398868561},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3077352046966553},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.10839641094207764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10567641258239746},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09776297211647034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09548905491828918},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.058585941791534424},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jcm-2004-41-215","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2004-41-215","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2070524905","https://openalex.org/W2086481191","https://openalex.org/W2090664771","https://openalex.org/W2129638845","https://openalex.org/W2315955131","https://openalex.org/W2982723241","https://openalex.org/W3010782316","https://openalex.org/W3108418035"],"related_works":["https://openalex.org/W2520906213","https://openalex.org/W1971038577","https://openalex.org/W2922866143","https://openalex.org/W2393135971","https://openalex.org/W2058989982","https://openalex.org/W2023422048","https://openalex.org/W1975676515","https://openalex.org/W2367894943","https://openalex.org/W2508418100","https://openalex.org/W2128729640"],"abstract_inverted_index":{"Nowadays,":[0],"one":[1],"of":[2,13,29],"the":[3,10,16,27],"main":[4],"topics":[5],"in":[6,20],"Engineering":[7],"is,":[8],"undoubtedly,":[9],"Automatic":[11],"Control":[12],"Systems.":[14],"Probably,":[15],"most":[17],"important":[18],"problem":[19],"this":[21],"area":[22],"is":[23],"how":[24],"to":[25],"guarantee":[26],"stability":[28],"a":[30],"closed":[31],"loop":[32],"control":[33],"system.":[34],"The":[35],"Routh-Hurwith":[36],"Criterion,":[37],"RHC,":[38]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}
