{"id":"https://openalex.org/W3005975131","doi":"https://doi.org/10.1155/2020/9450786","title":"Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump","display_name":"Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump","publication_year":2020,"publication_date":"2020-02-11","ids":{"openalex":"https://openalex.org/W3005975131","doi":"https://doi.org/10.1155/2020/9450786","mag":"3005975131"},"language":"en","primary_location":{"id":"doi:10.1155/2020/9450786","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/9450786","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/9450786.pdf","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://downloads.hindawi.com/journals/complexity/2020/9450786.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100652696","display_name":"Yanbo Li","orcid":"https://orcid.org/0000-0001-5144-2309"},"institutions":[{"id":"https://openalex.org/I163732180","display_name":"Guangxi University of Finance and Economics","ror":"https://ror.org/02ayg6516","country_code":"CN","type":"education","lineage":["https://openalex.org/I163732180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbo Li","raw_affiliation_strings":["School of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530001, China"],"raw_orcid":"https://orcid.org/0000-0001-5144-2309","affiliations":[{"raw_affiliation_string":"School of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530001, China","institution_ids":["https://openalex.org/I163732180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100630346","display_name":"Chaoyang Chen","orcid":"https://orcid.org/0000-0002-8095-399X"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Chao-Yang Chen","raw_affiliation_strings":["Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA","School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China"],"raw_orcid":"https://orcid.org/0000-0002-8095-399X","affiliations":[{"raw_affiliation_string":"Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055336658","display_name":"Chengqun Li","orcid":"https://orcid.org/0000-0001-7256-6239"},"institutions":[{"id":"https://openalex.org/I163732180","display_name":"Guangxi University of Finance and Economics","ror":"https://ror.org/02ayg6516","country_code":"CN","type":"education","lineage":["https://openalex.org/I163732180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengqun Li","raw_affiliation_strings":["School of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530001, China"],"raw_orcid":"https://orcid.org/0000-0001-7256-6239","affiliations":[{"raw_affiliation_string":"School of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530001, China","institution_ids":["https://openalex.org/I163732180"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100630346"],"corresponding_institution_ids":["https://openalex.org/I111088046","https://openalex.org/I121296143"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.1619,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50642029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958000183105469,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7199729084968567},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6231105923652649},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.6172643899917603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5412672162055969},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.5013236999511719},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4323536157608032},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.42805221676826477},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42306599020957947},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.4214848577976227},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.41060787439346313},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21579426527023315},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1598987877368927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15028557181358337}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7199729084968567},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6231105923652649},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.6172643899917603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5412672162055969},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.5013236999511719},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4323536157608032},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.42805221676826477},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42306599020957947},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.4214848577976227},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.41060787439346313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21579426527023315},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1598987877368927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15028557181358337},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/9450786","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/9450786","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/9450786.pdf","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:9450786","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/9450786.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:2d8831e5ea0c42138bb9e64f8e52df0f","is_oa":true,"landing_page_url":"https://doaj.org/article/2d8831e5ea0c42138bb9e64f8e52df0f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/9450786","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/9450786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/9450786","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/9450786","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/9450786.pdf","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":[],"awards":[{"id":"https://openalex.org/G318342086","display_name":null,"funder_award_id":"71961002","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G4178544759","display_name":null,"funder_award_id":"61503133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4316613645","display_name":null,"funder_award_id":"61973110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4401487862","display_name":null,"funder_award_id":"61503133","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G4456218730","display_name":null,"funder_award_id":"2019JJA110076","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G4934701646","display_name":null,"funder_award_id":"61973110","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G5052801960","display_name":null,"funder_award_id":"71961002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8033630516","display_name":null,"funder_award_id":"2016GXNSFAA380157","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3005975131.pdf","grobid_xml":"https://content.openalex.org/works/W3005975131.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1490813258","https://openalex.org/W1970872201","https://openalex.org/W1977942041","https://openalex.org/W1979387135","https://openalex.org/W1983315288","https://openalex.org/W1988357431","https://openalex.org/W1990463984","https://openalex.org/W1993092878","https://openalex.org/W1995559250","https://openalex.org/W2011018430","https://openalex.org/W2013488825","https://openalex.org/W2014622750","https://openalex.org/W2016014345","https://openalex.org/W2017671728","https://openalex.org/W2022492417","https://openalex.org/W2024485466","https://openalex.org/W2029210140","https://openalex.org/W2037378252","https://openalex.org/W2040313521","https://openalex.org/W2041200298","https://openalex.org/W2046448170","https://openalex.org/W2048177050","https://openalex.org/W2053695185","https://openalex.org/W2056004743","https://openalex.org/W2058136797","https://openalex.org/W2060199685","https://openalex.org/W2062362860","https://openalex.org/W2064633457","https://openalex.org/W2073612669","https://openalex.org/W2075735270","https://openalex.org/W2092756130","https://openalex.org/W2094951215","https://openalex.org/W2119631475","https://openalex.org/W2126451292","https://openalex.org/W2131269351","https://openalex.org/W2144154947","https://openalex.org/W2171850697","https://openalex.org/W2324645337","https://openalex.org/W2345600789","https://openalex.org/W2524237128","https://openalex.org/W2531278139","https://openalex.org/W2555783791","https://openalex.org/W2564934023","https://openalex.org/W2565879408","https://openalex.org/W2589748699","https://openalex.org/W2613912425","https://openalex.org/W2797863796","https://openalex.org/W2907777171","https://openalex.org/W2922423793","https://openalex.org/W2942253933","https://openalex.org/W2943990917","https://openalex.org/W2946837622"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2355499472","https://openalex.org/W2349230259","https://openalex.org/W2146459776","https://openalex.org/W2370818987","https://openalex.org/W1975201729","https://openalex.org/W2350226651","https://openalex.org/W2361379965","https://openalex.org/W2471027283","https://openalex.org/W1796128968"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,17],"the":[4,28,32,37,51,79,85,88,102,106,117,120],"problem":[5],"of":[6,12,31,70,73,84,87,119],"stochastic":[7,63],"stability":[8,64],"for":[9],"a":[10,62,71,110],"class":[11],"neutral":[13,89],"distributed":[14],"parameter":[15],"systems":[16],"Markovian":[18],"jump.":[19],"In":[20],"this":[21],"model,":[22],"we":[23,91],"only":[24],"need":[25,92],"to":[26,93,100,115],"know":[27],"absolute":[29],"maximum":[30],"state":[33],"transition":[34,42],"probability":[35],"on":[36,49],"principal":[38],"diagonal":[39],"line;":[40],"other":[41],"rates":[43],"can":[44],"be":[45],"completely":[46],"unknown.":[47],"Based":[48],"calculating":[50],"weak":[52],"infinitesimal":[53],"generator":[54],"and":[55,59],"combining":[56],"Poincare":[57],"inequality":[58],"Green":[60],"formula,":[61],"criterion":[65],"is":[66,113],"given":[67],"in":[68],"terms":[69,104],"set":[72],"linear":[74],"matrix":[75],"inequalities":[76],"(LMIs)":[77],"by":[78],"Schur":[80],"complement":[81],"lemma.":[82],"Because":[83],"existence":[86],"term,":[90],"construct":[94],"Lyapunov":[95],"functionals":[96],"showing":[97],"more":[98],"complexity":[99],"handle":[101],"cross":[103],"involving":[105],"Laplace":[107],"operator.":[108],"Finally,":[109],"numerical":[111],"example":[112],"provided":[114],"support":[116],"validity":[118],"mathematical":[121],"results.":[122]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
