{"id":"https://openalex.org/W4387197027","doi":"https://doi.org/10.1109/access.2023.3320943","title":"Exponential Stability of Discrete-Time Markovian Jump Nonlinear Systems With Stochastic Impulses","display_name":"Exponential Stability of Discrete-Time Markovian Jump Nonlinear Systems With Stochastic Impulses","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4387197027","doi":"https://doi.org/10.1109/access.2023.3320943"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3320943","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3320943","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10267962.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10267962.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006465866","display_name":"Ting Cai","orcid":"https://orcid.org/0000-0001-5732-7993"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ting Cai","raw_affiliation_strings":["School of Artificial Intelligence and Big Data, Hefei University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0001-5732-7993","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Big Data, Hefei University, Hefei, China","institution_ids":["https://openalex.org/I39774598"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068315311","display_name":"Pei Cheng","orcid":"https://orcid.org/0000-0002-3615-5624"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pei Cheng","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006465866"],"corresponding_institution_ids":["https://openalex.org/I39774598"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14736378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"108245","last_page":"108256"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9947999715805054,"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":0.9940999746322632,"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/exponential-function","display_name":"Exponential function","score":0.48542389273643494},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46204066276550293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46191951632499695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45541974902153015},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.45331454277038574},{"id":"https://openalex.org/keywords/jump-process","display_name":"Jump process","score":0.43336570262908936},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4312132000923157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4096727669239044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39325395226478577},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.35550063848495483},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3494362533092499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24258917570114136},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1534874439239502},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12190017104148865},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0856575071811676}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.48542389273643494},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46204066276550293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46191951632499695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45541974902153015},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.45331454277038574},{"id":"https://openalex.org/C2776825372","wikidata":"https://www.wikidata.org/wiki/Q3922411","display_name":"Jump process","level":3,"score":0.43336570262908936},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4312132000923157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4096727669239044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39325395226478577},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.35550063848495483},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3494362533092499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24258917570114136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1534874439239502},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12190017104148865},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0856575071811676},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3320943","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3320943","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10267962.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e787bb8d097c4b94845951eaa62e5ad7","is_oa":true,"landing_page_url":"https://doaj.org/article/e787bb8d097c4b94845951eaa62e5ad7","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":"IEEE Access, Vol 11, Pp 108245-108256 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3320943","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3320943","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10267962.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1478385982","display_name":null,"funder_award_id":"11771001","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G3530698464","display_name":null,"funder_award_id":"21-22RC22","funder_id":"https://openalex.org/F4320326536","funder_display_name":"Hefei University"},{"id":"https://openalex.org/G5680658593","display_name":null,"funder_award_id":"11771001","funder_id":"https://openalex.org/F4320326536","funder_display_name":"Hefei University"},{"id":"https://openalex.org/G6111416567","display_name":null,"funder_award_id":"11771001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7593946416","display_name":null,"funder_award_id":"2108085QA12","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G8744987387","display_name":null,"funder_award_id":"12302034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326536","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387197027.pdf","grobid_xml":"https://content.openalex.org/works/W4387197027.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W613462629","https://openalex.org/W1489051611","https://openalex.org/W1963668342","https://openalex.org/W1969874584","https://openalex.org/W1970134289","https://openalex.org/W1980119950","https://openalex.org/W1991703081","https://openalex.org/W2031780472","https://openalex.org/W2057522848","https://openalex.org/W2089977358","https://openalex.org/W2103262285","https://openalex.org/W2178147744","https://openalex.org/W2189344611","https://openalex.org/W2344616510","https://openalex.org/W2531552800","https://openalex.org/W2746291398","https://openalex.org/W2766420801","https://openalex.org/W2807878684","https://openalex.org/W2900759768","https://openalex.org/W2900812847","https://openalex.org/W2902079687","https://openalex.org/W2966028889","https://openalex.org/W2967688601","https://openalex.org/W3026186938","https://openalex.org/W3033781250","https://openalex.org/W3086185801","https://openalex.org/W3129358396","https://openalex.org/W3200481252","https://openalex.org/W4221015034","https://openalex.org/W4224602498","https://openalex.org/W4288901737","https://openalex.org/W4380303674","https://openalex.org/W6801852876"],"related_works":["https://openalex.org/W3017619830","https://openalex.org/W155641856","https://openalex.org/W3141650418","https://openalex.org/W362430865","https://openalex.org/W4287811329","https://openalex.org/W2164678804","https://openalex.org/W2738756144","https://openalex.org/W2009219785","https://openalex.org/W2910085614","https://openalex.org/W4256090135"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,19,24,27,34,49,57,71,82,90,100,107,111,123,133,138,148],"exponential":[4,31],"stability":[5,32],"(ES)":[6],"of":[7,33,48,73,89,140,150],"nonlinear":[8],"discrete-time":[9],"(DT)":[10],"systems":[11],"with":[12,155],"stochastic":[13],"impulses":[14,75,101,124],"and":[15,23,102,126],"Markovian":[16,58,103,127],"jump.":[17],"Employing":[18],"Lyapunov":[20],"function":[21],"method":[22],"subsequence":[25],"technique,":[26],"sufficient":[28],"conditions":[29],"for":[30],"<inline-formula":[35],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[36,43,65,84,142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[37,44,66,85,143],"<tex-math":[38,45,67,86,144],"notation=\"LaTeX\">$pth$":[39,46,68,87,145],"</tex-math></inline-formula>":[40,69,88],"moments":[41],"(ES-<inline-formula":[42],"</tex-math></inline-formula>)":[47],"system":[50,91,134],"are":[51,62,116,130],"established.":[52],"Generally,":[53],"even":[54],"if":[55],"all":[56,114],"jump":[59,104,128],"subsystems":[60],"(MJSSs)":[61],"not":[63],"ES-<inline-formula":[64,83,141],"in":[70,92],"absence":[72],"impulses,":[74,119],"can":[76,135],"still":[77,136],"be":[78],"used":[79],"to":[80],"achieve":[81],"a":[93],"specially":[94],"designed":[95],"interval,":[96],"that":[97],"is,":[98],"when":[99,113],"signals":[105,129],"meet":[106],"corresponding":[108],"conditions.":[109],"On":[110],"contrary,":[112],"MJSSs":[115],"stable":[117],"without":[118],"as":[120,122],"long":[121],"parameters":[125],"relatively":[131],"balanced,":[132],"maintain":[137],"property":[139],"</tex-math></inline-formula>.":[146],"Finally,":[147],"effectiveness":[149],"results":[151],"is":[152],"further":[153],"verified":[154],"three":[156],"examples.":[157]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}