{"id":"https://openalex.org/W2522137343","doi":"https://doi.org/10.1080/00207179.2016.1221138","title":"Global asymptotic stabilisation of rational dynamical systems based on solving BMI","display_name":"Global asymptotic stabilisation of rational dynamical systems based on solving BMI","publication_year":2016,"publication_date":"2016-09-22","ids":{"openalex":"https://openalex.org/W2522137343","doi":"https://doi.org/10.1080/00207179.2016.1221138","mag":"2522137343"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2016.1221138","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1221138","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5044894354","display_name":"Farhad Esmaili","orcid":"https://orcid.org/0000-0003-1081-7041"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Farhad Esmaili","raw_affiliation_strings":["Department of Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037127708","display_name":"Ali Vahidian Kamyad","orcid":"https://orcid.org/0000-0001-5127-0690"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"A. V. Kamyad","raw_affiliation_strings":["Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033784677","display_name":"Mohammad Reza Jahed\u2010Motlagh","orcid":"https://orcid.org/0000-0001-7025-141X"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Reza Jahed-Motlagh","raw_affiliation_strings":["Electrical Engineering Department, Iran University of Science and Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Iran University of Science and Technology, Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056660688","display_name":"Naser Pariz","orcid":"https://orcid.org/0000-0001-6689-9176"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Naser Pariz","raw_affiliation_strings":["Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044894354"],"corresponding_institution_ids":["https://openalex.org/I155419210"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10998311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"90","issue":"8","first_page":"1769","last_page":"1777"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical 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/T12772","display_name":"Control and Stability of Dynamical 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9984999895095825,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9970999956130981,"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":0.6746617555618286},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5836061835289001},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5595831274986267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5408819317817688},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.4727174639701843},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.46349024772644043},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45986318588256836},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4488884210586548},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.44417765736579895},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4191287159919739},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3426181674003601},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29658305644989014},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2678651809692383},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23917022347450256},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2111414074897766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1345864236354828}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6746617555618286},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5836061835289001},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5595831274986267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5408819317817688},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.4727174639701843},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.46349024772644043},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45986318588256836},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4488884210586548},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.44417765736579895},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4191287159919739},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3426181674003601},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29658305644989014},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2678651809692383},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23917022347450256},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2111414074897766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1345864236354828},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2016.1221138","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1221138","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1480692184","https://openalex.org/W1484468503","https://openalex.org/W1525625886","https://openalex.org/W1937324737","https://openalex.org/W1966467357","https://openalex.org/W1969329655","https://openalex.org/W1987011453","https://openalex.org/W2001473319","https://openalex.org/W2013621063","https://openalex.org/W2037169651","https://openalex.org/W2043733263","https://openalex.org/W2047816224","https://openalex.org/W2071555678","https://openalex.org/W2091887612","https://openalex.org/W2095590702","https://openalex.org/W2146920002","https://openalex.org/W2149811200","https://openalex.org/W2155724501","https://openalex.org/W2162575040","https://openalex.org/W2494854090","https://openalex.org/W2536620281","https://openalex.org/W2914524479","https://openalex.org/W4238726034"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2417585376","https://openalex.org/W2043733263","https://openalex.org/W3036139884","https://openalex.org/W2060195842"],"abstract_inverted_index":{"In":[0],"this":[1,104],"paper,":[2],"the":[3,17,19,23,35,46,49,64,67,78,83,94,101],"global":[4,79],"asymptotic":[5,80],"stabiliser":[6],"design":[7],"of":[8,22,48,82,103],"rational":[9],"systems":[10],"is":[11,43,70],"studied":[12],"in":[13,41,66],"detail.":[14],"To":[15,99],"develop":[16],"idea,":[18],"state":[20,36],"equations":[21],"system":[24,65],"are":[25,90,108],"transformed":[26],"to":[27,77],"a":[28,59],"new":[29,68],"coordinate":[30,69],"via":[31],"polynomial":[32,87],"transformation":[33,88],"and":[34,74],"feedback":[37],"control":[38],"law.":[39],"This":[40],"turn":[42],"followed":[44],"by":[45,92],"satisfaction":[47],"linear":[50,60],"growth":[51],"condition":[52],"(i.e.":[53],"Lipschitz":[54],"at":[55],"zero).":[56],"Based":[57],"on":[58],"matrix":[61,96],"inequality":[62,97],"solution,":[63],"globally":[71],"asymptotically":[72],"stabilised":[73],"then,":[75],"leading":[76],"stabilisation":[81],"primary":[84],"system.":[85],"The":[86],"coefficients":[89],"derived":[91],"solving":[93],"bilinear":[95],"problem.":[98],"confirm":[100],"capability":[102],"method,":[105],"three":[106],"examples":[107],"highlighted.":[109]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}