{"id":"https://openalex.org/W2124001174","doi":"https://doi.org/10.1109/tac.2009.2036329","title":"Absolute Stability of Second-Order Systems With Asymmetric Sector Boundaries","display_name":"Absolute Stability of Second-Order Systems With Asymmetric Sector Boundaries","publication_year":2010,"publication_date":"2010-01-12","ids":{"openalex":"https://openalex.org/W2124001174","doi":"https://doi.org/10.1109/tac.2009.2036329","mag":"2124001174"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2009.2036329","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2036329","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5050604885","display_name":"Guojian Lin","orcid":"https://orcid.org/0000-0001-8650-0345"},"institutions":[{"id":"https://openalex.org/I4210110242","display_name":"Digital Science (United States)","ror":"https://ror.org/020h4b682","country_code":"US","type":"company","lineage":["https://openalex.org/I4210110242","https://openalex.org/I4210112888","https://openalex.org/I4210118830"]},{"id":"https://openalex.org/I4210126846","display_name":"Information Technology Laboratory","ror":"https://ror.org/0440c3437","country_code":"US","type":"government","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210126846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guojian Lin","raw_affiliation_strings":["Digital Technology Laboratory Corporation, Davis, CA, USA","Digital Technol. Lab. Corp., Davis, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Digital Technology Laboratory Corporation, Davis, CA, USA","institution_ids":["https://openalex.org/I4210126846"]},{"raw_affiliation_string":"Digital Technol. Lab. Corp., Davis, CA, USA","institution_ids":["https://openalex.org/I4210110242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101751074","display_name":"Balakumar Balachandran","orcid":"https://orcid.org/0000-0002-3132-1937"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Balachandran","raw_affiliation_strings":["Department of Mechanical Engineering, University of Maryland, College Park, MD, USA","Dept. of Mech. Eng., Univ. of Maryland, College Park, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Univ. of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087867089","display_name":"Eyad H. Abed","orcid":"https://orcid.org/0000-0002-1545-3630"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E.H. Abed","raw_affiliation_strings":["Department of Electrical and Computer Engineering and the Institute of Systems Research, University of Maryland, College Park, MD, USA","Dept of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Institute of Systems Research, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9239,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.76802806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"2","first_page":"458","last_page":"463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9754999876022339,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5612338185310364},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5478323698043823},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.535033643245697},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5346903204917908},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5226252675056458},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5206953287124634},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4937988221645355},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.41075146198272705},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36472055315971375},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3559233546257019},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18548700213432312},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1754905879497528},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13594654202461243},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07067713141441345}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5612338185310364},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5478323698043823},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.535033643245697},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5346903204917908},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5226252675056458},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5206953287124634},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4937988221645355},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.41075146198272705},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36472055315971375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3559233546257019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18548700213432312},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1754905879497528},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13594654202461243},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07067713141441345},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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:10.1109/tac.2009.2036329","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2036329","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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":19,"referenced_works":["https://openalex.org/W1526025251","https://openalex.org/W1820286729","https://openalex.org/W1977840056","https://openalex.org/W1987011203","https://openalex.org/W2000921066","https://openalex.org/W2001992881","https://openalex.org/W2004802757","https://openalex.org/W2013002997","https://openalex.org/W2050972928","https://openalex.org/W2064486942","https://openalex.org/W2085582194","https://openalex.org/W2093426486","https://openalex.org/W2098470425","https://openalex.org/W2109912732","https://openalex.org/W2115689755","https://openalex.org/W2116845400","https://openalex.org/W2151452586","https://openalex.org/W2154308127","https://openalex.org/W6638475120"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2080152487","https://openalex.org/W2239445980","https://openalex.org/W3083152911","https://openalex.org/W2120455979","https://openalex.org/W2381411913"],"abstract_inverted_index":{"Absolute":[0],"stability":[1,17],"is":[2,124,128],"considered":[3,125],"under":[4],"an":[5,115],"asymmetric":[6,25,51],"sector":[7,26,52,56,149],"condition,":[8],"resulting":[9],"in":[10,61],"a":[11,119,147],"generalization":[12],"of":[13,36,64,103,109,118,146],"the":[14,22,28,33,65,70,73,80,100,104,131],"classical":[15,141],"absolute":[16,48],"analysis.":[18],"In":[19],"addition":[20],"to":[21,24,58,78,88],"extension":[23],"conditions,":[27],"current":[29],"approach,":[30],"based":[31],"on":[32],"recent":[34],"work":[35,86],"Leonov":[37],"(2005),":[38],"yields":[39],"results":[40,133],"that":[41,72,108,130],"are":[42,96,134],"both":[43],"necessary":[44,92],"and":[45,68,82,93,126],"sufficient":[46,94],"for":[47],"stability.":[49],"An":[50],"condition":[53],"allows":[54],"different":[55,62],"bounds":[57],"be":[59,76],"imposed":[60],"regions":[63],"state":[66],"space,":[67],"removes":[69],"restriction":[71],"system":[74,106,123],"nonlinearity":[75],"confined":[77],"only":[79],"first":[81],"third":[83],"quadrants.":[84],"This":[85],"applies":[87],"second-order":[89],"systems.":[90,113],"The":[91],"conditions":[95],"derived":[97],"by":[98],"comparing":[99],"vector":[101],"field":[102],"nonlinear":[105],"with":[107,140],"certain":[110],"piecewise":[111],"linear":[112],"As":[114],"example,":[116],"stabilization":[117],"supercavitating":[120],"(underwater)":[121],"vehicle":[122],"it":[127],"shown":[129],"new":[132],"less":[135],"conservative":[136],"than":[137],"those":[138],"obtained":[139],"theory,":[142],"which":[143],"requires":[144],"imposition":[145],"symmetric":[148],"condition.":[150]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
