{"id":"https://openalex.org/W2014549695","doi":"https://doi.org/10.1109/acc.2010.5530652","title":"Robust stability of complex systems with applications to performance attainment problems","display_name":"Robust stability of complex systems with applications to performance attainment problems","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2014549695","doi":"https://doi.org/10.1109/acc.2010.5530652","mag":"2014549695"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5530652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5530652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","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/A5020137286","display_name":"Michael Knap","orcid":"https://orcid.org/0000-0002-7093-9502"},"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":"M J Knap","raw_affiliation_strings":["Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA","Center of Excellence in Information Systems, Tennessee State University, Nashville, 37209, USA"],"affiliations":[{"raw_affiliation_string":"Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA","institution_ids":["https://openalex.org/I75256744"]},{"raw_affiliation_string":"Center of Excellence in Information Systems, Tennessee State University, Nashville, 37209, USA","institution_ids":["https://openalex.org/I75256744"]}]},{"author_position":"middle","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":false,"raw_author_name":"L H Keel","raw_affiliation_strings":["Department of Electrical & Computer Engineering and Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA","Department of Electrical & Computer Engineering and Center of Excellence in Information Systems, Tennessee State University, Nashville, 37209, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering and Center of Excellence in Information Systems, Tennessee State University, Nashville, TN, USA","institution_ids":["https://openalex.org/I75256744"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering and Center of Excellence in Information Systems, Tennessee State University, Nashville, 37209, USA","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 & Computer Engineering, Texas A and M University, College Station, TX, USA","Department of Electrical & Computer Engineering, Texas A&M University, College Station, 77843, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Texas A&M University, College Station, 77843, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020137286"],"corresponding_institution_ids":["https://openalex.org/I75256744"],"apc_list":null,"apc_paid":null,"fwci":0.7226,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76184078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3907","last_page":"3912"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996399998664856,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9884999990463257,"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/margin","display_name":"Margin (machine learning)","score":0.7552130222320557},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7109325528144836},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6029947996139526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.518038809299469},{"id":"https://openalex.org/keywords/routh\u2013hurwitz-stability-criterion","display_name":"Routh\u2013Hurwitz stability criterion","score":0.5072388648986816},{"id":"https://openalex.org/keywords/complex-quadratic-polynomial","display_name":"Complex quadratic polynomial","score":0.5060080885887146},{"id":"https://openalex.org/keywords/phase-margin","display_name":"Phase margin","score":0.45816829800605774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43398264050483704},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37878352403640747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3644578754901886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33476144075393677},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15064778923988342},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06847772002220154}],"concepts":[{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.7552130222320557},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7109325528144836},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6029947996139526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.518038809299469},{"id":"https://openalex.org/C1366977","wikidata":"https://www.wikidata.org/wiki/Q2621270","display_name":"Routh\u2013Hurwitz stability criterion","level":3,"score":0.5072388648986816},{"id":"https://openalex.org/C6077466","wikidata":"https://www.wikidata.org/wiki/Q5156597","display_name":"Complex quadratic polynomial","level":3,"score":0.5060080885887146},{"id":"https://openalex.org/C81455027","wikidata":"https://www.wikidata.org/wiki/Q7180955","display_name":"Phase margin","level":5,"score":0.45816829800605774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43398264050483704},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37878352403640747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3644578754901886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33476144075393677},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15064778923988342},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06847772002220154},{"id":"https://openalex.org/C145366948","wikidata":"https://www.wikidata.org/wiki/Q178947","display_name":"Operational amplifier","level":4,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2010.5530652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5530652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","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":8,"referenced_works":["https://openalex.org/W1574669531","https://openalex.org/W1916017530","https://openalex.org/W2006692789","https://openalex.org/W2101314745","https://openalex.org/W2128838031","https://openalex.org/W2131946284","https://openalex.org/W2618328971","https://openalex.org/W3147145484"],"related_works":["https://openalex.org/W2039709469","https://openalex.org/W2015372119","https://openalex.org/W2021495666","https://openalex.org/W2034034300","https://openalex.org/W1652604329","https://openalex.org/W2922866143","https://openalex.org/W2012986472","https://openalex.org/W1979223951","https://openalex.org/W2088265333","https://openalex.org/W4388673175"],"abstract_inverted_index":{"Recently,":[0],"a":[1,12,38,59],"computationally":[2],"efficient":[3],"method":[4],"was":[5],"developed":[6],"to":[7,37,55],"deal":[8],"with":[9],"stability":[10,81],"of":[11,18,28,40,61],"control":[13],"system":[14],"where":[15],"the":[16,19,26,56],"coefficients":[17],"characteristic":[20],"polynomial":[21],"are":[22,88],"polynomially":[23],"dependent":[24],"on":[25],"parameters":[27],"interest.":[29],"In":[30],"this":[31,35],"paper,":[32],"we":[33],"extend":[34],"result":[36],"family":[39],"complex":[41,84],"polynomials":[42],"which":[43],"in":[44],"turn":[45],"solves":[46],"some":[47],"important":[48,62],"performance":[49,63],"attainment":[50,64],"problems.":[51],"This":[52],"is":[53],"due":[54],"fact":[57],"that":[58],"number":[60],"problems":[65,82],"(phase":[66],"margin,":[67,72],"H":[68],"<sub":[69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[71],"and":[73],"SPR":[74],"problem)":[75],"can":[76],"be":[77],"cast":[78],"as":[79],"robust":[80],"for":[83],"polynomials.":[85],"The":[86],"results":[87],"illustrated":[89],"by":[90],"examples.":[91]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}