{"id":"https://openalex.org/W1515757649","doi":"https://doi.org/10.23919/ecc.2003.7085217","title":"Solution to the general robust strictly positive real synthesis problem for polynomial segments","display_name":"Solution to the general robust strictly positive real synthesis problem for polynomial segments","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1515757649","doi":"https://doi.org/10.23919/ecc.2003.7085217","mag":"1515757649"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2003.7085217","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085217","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-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/A5086819750","display_name":"Wensheng Yu","orcid":"https://orcid.org/0000-0002-3832-2748"},"institutions":[{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wensheng Yu","raw_affiliation_strings":["Chinese Academy of Sciences, Institute of Automation, Beijing, P. R. China","Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, P. R. China"],"affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences, Institute of Automation, Beijing, P. R. China","institution_ids":["https://openalex.org/I4210112150","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, P. R. China","institution_ids":["https://openalex.org/I4210094879","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100447536","display_name":"Long Wang","orcid":"https://orcid.org/0000-0001-5600-8157"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Wang","raw_affiliation_strings":["Department of Mechanics and Engineering Science, Peking University, Beijing, P. R. China","Center for Systems and Control, Department of Mechanics and Engineering Science Peking University, Beijing 100871, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanics and Engineering Science, Peking University, Beijing, P. R. China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science Peking University, Beijing 100871, P. R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112557868","display_name":"J\u00fcrgen Ackermann","orcid":null},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jurgen Ackermann","raw_affiliation_strings":["Robust Control Group, German Aerospace Center, Wessling, Germany","Robust Control Group, Institute of Robotics and Mechatronics, German Aerospace Center, DLR-Oberpfaffenhofen, Postfach 1116, D-82230 Wessling, Germany"],"affiliations":[{"raw_affiliation_string":"Robust Control Group, German Aerospace Center, Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]},{"raw_affiliation_string":"Robust Control Group, Institute of Robotics and Mechatronics, German Aerospace Center, DLR-Oberpfaffenhofen, Postfach 1116, D-82230 Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086819750"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210094879","https://openalex.org/I4210112150"],"apc_list":null,"apc_paid":null,"fwci":0.4264,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59317978,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1744","last_page":"1749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9909999966621399,"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":0.988099992275238,"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/hurwitz-polynomial","display_name":"Hurwitz polynomial","score":0.7561967372894287},{"id":"https://openalex.org/keywords/routh\u2013hurwitz-stability-criterion","display_name":"Routh\u2013Hurwitz stability criterion","score":0.6621227860450745},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6554129123687744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.630710244178772},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.552043080329895},{"id":"https://openalex.org/keywords/stable-polynomial","display_name":"Stable polynomial","score":0.5462940335273743},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5104492902755737},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4840616285800934},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4508882462978363},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35073840618133545},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.2986963391304016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1740676462650299},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.14875805377960205},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14055415987968445},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05573242902755737}],"concepts":[{"id":"https://openalex.org/C120501884","wikidata":"https://www.wikidata.org/wiki/Q1414214","display_name":"Hurwitz polynomial","level":3,"score":0.7561967372894287},{"id":"https://openalex.org/C1366977","wikidata":"https://www.wikidata.org/wiki/Q2621270","display_name":"Routh\u2013Hurwitz stability criterion","level":3,"score":0.6621227860450745},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6554129123687744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.630710244178772},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.552043080329895},{"id":"https://openalex.org/C45025165","wikidata":"https://www.wikidata.org/wiki/Q13424738","display_name":"Stable polynomial","level":5,"score":0.5462940335273743},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5104492902755737},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4840616285800934},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4508882462978363},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35073840618133545},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.2986963391304016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1740676462650299},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.14875805377960205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14055415987968445},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05573242902755737},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2003.7085217","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085217","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W98238789","https://openalex.org/W1486491956","https://openalex.org/W1561073192","https://openalex.org/W1574669531","https://openalex.org/W1575783483","https://openalex.org/W1647466600","https://openalex.org/W1931998932","https://openalex.org/W1976169918","https://openalex.org/W1979718153","https://openalex.org/W2014177127","https://openalex.org/W2026769037","https://openalex.org/W2038370511","https://openalex.org/W2041411543","https://openalex.org/W2046874050","https://openalex.org/W2059706201","https://openalex.org/W2069145696","https://openalex.org/W2108263041","https://openalex.org/W2115083867","https://openalex.org/W2119969833","https://openalex.org/W2122443984","https://openalex.org/W2128130424","https://openalex.org/W2148104278","https://openalex.org/W2152822439","https://openalex.org/W2153988454","https://openalex.org/W2156812376","https://openalex.org/W2164500605","https://openalex.org/W2169045266"],"related_works":["https://openalex.org/W2054556934","https://openalex.org/W2128729640","https://openalex.org/W2058989982","https://openalex.org/W2015410487","https://openalex.org/W1652604329","https://openalex.org/W2073950904","https://openalex.org/W1975676515","https://openalex.org/W2044942888","https://openalex.org/W2080704839","https://openalex.org/W3152675113"],"abstract_inverted_index":{"For":[0],"any":[1],"two":[2],"n-th":[3],"order":[4],"polynomials":[5],"a(s)":[6],"and":[7,18,30],"b(s),":[8],"the":[9,21],"Hurwitz":[10],"stability":[11],"of":[12,23],"their":[13],"convex":[14],"combination":[15],"is":[16],"necessary":[17],"sufficient":[19],"for":[20],"existence":[22],"a":[24],"polynomial":[25],"c(s)":[26],"such":[27],"that":[28],"c(s)/a(s)":[29],"c(s)/b(s)":[31],"are":[32],"both":[33],"strictly":[34],"positive":[35],"real.":[36]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}