{"id":"https://openalex.org/W2809752353","doi":"https://doi.org/10.1155/2018/5139840","title":"Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems","display_name":"Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2809752353","doi":"https://doi.org/10.1155/2018/5139840","mag":"2809752353"},"language":"en","primary_location":{"id":"doi:10.1155/2018/5139840","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/5139840","pdf_url":null,"source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1155/2018/5139840","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050436285","display_name":"Yucai Ding","orcid":"https://orcid.org/0000-0002-6233-0297"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yucai Ding","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang 621010"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang 621010","institution_ids":["https://openalex.org/I1297991670"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100387509","display_name":"Hui Liu","orcid":"https://orcid.org/0000-0001-6654-4965"},"institutions":[{"id":"https://openalex.org/I1297991670","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474","country_code":"CN","type":"education","lineage":["https://openalex.org/I1297991670"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Liu","raw_affiliation_strings":["School of Science, Southwest University of Science and Technology, Mianyang 621010"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest University of Science and Technology, Mianyang 621010","institution_ids":["https://openalex.org/I1297991670"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050436285"],"corresponding_institution_ids":["https://openalex.org/I1297991670"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.498,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.83207073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"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":1.0,"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":1.0,"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/T11236","display_name":"Control Systems and Identification","score":0.9994000196456909,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.713011622428894},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.658485472202301},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6521154642105103},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.641310453414917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5905239582061768},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5131457448005676},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4809390902519226},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.47224491834640503},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.45004379749298096},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.42200955748558044},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40847790241241455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3546910285949707},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.26273006200790405},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17264077067375183},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15651065111160278},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10444295406341553}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.713011622428894},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.658485472202301},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6521154642105103},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.641310453414917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5905239582061768},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5131457448005676},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4809390902519226},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.47224491834640503},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.45004379749298096},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.42200955748558044},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40847790241241455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3546910285949707},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26273006200790405},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17264077067375183},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15651065111160278},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10444295406341553},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2018/5139840","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/5139840","pdf_url":null,"source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:5139840","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/5139840.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:c89b2a43b9214c19b7625ef22e1d6c5f","is_oa":true,"landing_page_url":"https://doaj.org/article/c89b2a43b9214c19b7625ef22e1d6c5f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/5139840","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/5139840","pdf_url":null,"source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G484588198","display_name":null,"funder_award_id":"2017JY0336","funder_id":"https://openalex.org/F4320322922","funder_display_name":"Department of Science and Technology of Sichuan Province"},{"id":"https://openalex.org/G5024021968","display_name":null,"funder_award_id":"17LZXY11","funder_id":"https://openalex.org/F4320322559","funder_display_name":"Southwest University of Science and Technology"},{"id":"https://openalex.org/G5219963261","display_name":null,"funder_award_id":"16ZA0146","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G6123076061","display_name":null,"funder_award_id":"13zx7141","funder_id":"https://openalex.org/F4320322559","funder_display_name":"Southwest University of Science and Technology"},{"id":"https://openalex.org/G7543699017","display_name":null,"funder_award_id":"11501474","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G911076876","display_name":null,"funder_award_id":"17LZX537","funder_id":"https://openalex.org/F4320322559","funder_display_name":"Southwest University of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322559","display_name":"Southwest University of Science and Technology","ror":"https://ror.org/04d996474"},{"id":"https://openalex.org/F4320322922","display_name":"Department of Science and Technology of Sichuan Province","ror":"https://ror.org/04323m874"},{"id":"https://openalex.org/F4320322970","display_name":"Education Department of Sichuan Province","ror":"https://ror.org/05s1c4z27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1530842515","https://openalex.org/W1567304421","https://openalex.org/W1830570888","https://openalex.org/W1977819612","https://openalex.org/W1984285111","https://openalex.org/W1988621090","https://openalex.org/W1990630015","https://openalex.org/W2007770514","https://openalex.org/W2030472623","https://openalex.org/W2036143902","https://openalex.org/W2049654589","https://openalex.org/W2052134087","https://openalex.org/W2074866165","https://openalex.org/W2077295112","https://openalex.org/W2087442520","https://openalex.org/W2098031711","https://openalex.org/W2106729971","https://openalex.org/W2127161747","https://openalex.org/W2130374522","https://openalex.org/W2152873182","https://openalex.org/W2164480029","https://openalex.org/W2250434383","https://openalex.org/W2320291507","https://openalex.org/W2403865117","https://openalex.org/W2462326144","https://openalex.org/W2469349402","https://openalex.org/W2591753073","https://openalex.org/W2594267261","https://openalex.org/W2605373881","https://openalex.org/W2672457609","https://openalex.org/W2735630641","https://openalex.org/W2752857562","https://openalex.org/W2762505315","https://openalex.org/W3210839039","https://openalex.org/W4242827397"],"related_works":["https://openalex.org/W2102092709","https://openalex.org/W1525431020","https://openalex.org/W2143900412","https://openalex.org/W2921693184","https://openalex.org/W2968009678","https://openalex.org/W3196858159","https://openalex.org/W2620261336","https://openalex.org/W2158860949","https://openalex.org/W2370979757","https://openalex.org/W2376709729"],"abstract_inverted_index":{"The":[0,67,79],"problems":[1],"of":[2,44,75,81],"reachable":[3,32,36,65],"set":[4,33,37],"estimation":[5],"and":[6,34,51],"state\u2010feedback":[7,56],"controller":[8,57],"design":[9],"are":[10,38,71],"investigated":[11],"for":[12],"singular":[13],"Markovian":[14],"jump":[15],"systems":[16],"with":[17],"bounded":[18],"input":[19],"disturbances.":[20],"Based":[21],"on":[22,30,62],"the":[23,42,48,63,82],"Lyapunov":[24],"approach,":[25],"several":[26],"new":[27],"sufficient":[28,69],"conditions":[29,70],"state":[31],"output":[35],"derived":[39,68],"to":[40],"ensure":[41],"existence":[43],"ellipsoids":[45],"that":[46],"bound":[47],"system":[49],"states":[50],"output,":[52],"respectively.":[53],"Moreover,":[54],"a":[55],"is":[58,85],"also":[59],"designed":[60],"based":[61],"estimated":[64],"set.":[66],"expressed":[72],"in":[73],"terms":[74],"linear":[76],"matrix":[77],"inequalities.":[78],"effectiveness":[80],"proposed":[83],"results":[84],"illustrated":[86],"by":[87],"numerical":[88],"examples.":[89]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
