{"id":"https://openalex.org/W4361770306","doi":"https://doi.org/10.1109/tac.2023.3262444","title":"Stability Analysis of Delayed Discrete Singular Piecewise Homogeneous Markovian Jump Systems With Unknown Transition Probabilities via Sliding-Mode Approach","display_name":"Stability Analysis of Delayed Discrete Singular Piecewise Homogeneous Markovian Jump Systems With Unknown Transition Probabilities via Sliding-Mode Approach","publication_year":2023,"publication_date":"2023-03-28","ids":{"openalex":"https://openalex.org/W4361770306","doi":"https://doi.org/10.1109/tac.2023.3262444"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3262444","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3262444","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/A5015880314","display_name":"Yonggui Kao","orcid":"https://orcid.org/0000-0003-3269-963X"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yonggui Kao","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015239448","display_name":"Yueqiao Han","orcid":"https://orcid.org/0000-0002-8529-7821"},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yueqiao Han","raw_affiliation_strings":["School of Mathematical Sciences, Ocean University of China, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Ocean University of China, Qingdao, China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035816535","display_name":"Yanzheng Zhu","orcid":"https://orcid.org/0000-0001-5160-9623"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzheng Zhu","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101561346","display_name":"Zhan Shu","orcid":"https://orcid.org/0000-0002-5933-254X"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhan Shu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015880314"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":9.3889,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.98593413,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"69","issue":"1","first_page":"315","last_page":"322"},"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":0.9933000206947327,"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":0.9933000206947327,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9866999983787537,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9801999926567078,"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/piecewise","display_name":"Piecewise","score":0.6418600082397461},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6254841089248657},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.6131870150566101},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5805470943450928},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5564236044883728},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5496689081192017},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5453883409500122},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5014545917510986},{"id":"https://openalex.org/keywords/transition","display_name":"Transition (genetics)","score":0.45252859592437744},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3503376245498657},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3439365029335022},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3367999792098999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24763581156730652},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2066730260848999},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12374088168144226},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0840378999710083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06384807825088501},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05658242106437683}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6418600082397461},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6254841089248657},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6131870150566101},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5805470943450928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5564236044883728},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5496689081192017},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5453883409500122},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5014545917510986},{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.45252859592437744},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3503376245498657},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3439365029335022},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3367999792098999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24763581156730652},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2066730260848999},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12374088168144226},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0840378999710083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06384807825088501},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05658242106437683},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3262444","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3262444","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":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G5111094804","display_name":null,"funder_award_id":"62203414","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7150633898","display_name":null,"funder_award_id":"ZR2020QA027","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8502066166","display_name":null,"funder_award_id":"ZR2020ZD27","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W2011226835","https://openalex.org/W2043458914","https://openalex.org/W2106729971","https://openalex.org/W2112893311","https://openalex.org/W2115865640","https://openalex.org/W2123380888","https://openalex.org/W2156734731","https://openalex.org/W2158513532","https://openalex.org/W2222503065","https://openalex.org/W2292770999","https://openalex.org/W2462438590","https://openalex.org/W2465549206","https://openalex.org/W2548339510","https://openalex.org/W2602458259","https://openalex.org/W2605051001","https://openalex.org/W2733620750","https://openalex.org/W2752857562","https://openalex.org/W2834348123","https://openalex.org/W2905163161","https://openalex.org/W2955893219","https://openalex.org/W2985488266","https://openalex.org/W2995968586","https://openalex.org/W3002448192","https://openalex.org/W3020158539","https://openalex.org/W3129478595","https://openalex.org/W3133435396","https://openalex.org/W3163931193","https://openalex.org/W3186806662","https://openalex.org/W3192844227"],"related_works":["https://openalex.org/W2351666715","https://openalex.org/W1967543778","https://openalex.org/W2757332726","https://openalex.org/W2382902960","https://openalex.org/W2385263368","https://openalex.org/W1598955744","https://openalex.org/W2369384937","https://openalex.org/W2347422947","https://openalex.org/W2793265400","https://openalex.org/W2352146386"],"abstract_inverted_index":{"In":[0,92],"this":[1,40,93],"article,":[2],"the":[3,26,30,34,37,70,82,106,118,121,135,138,146,156,163,169],"sliding-mode":[4,102,122],"control":[5],"(SMC)":[6],"strategy":[7,172],"is":[8,66,173],"outlined":[9],"for":[10,68],"discrete-time":[11],"singular":[12],"Markovian":[13],"jump":[14],"systems":[15],"with":[16],"time-varying":[17,20,31],"delays":[18],"and":[19,55,73,87,113],"transition":[21,61],"probabilities":[22],"(TPs).":[23],"To":[24],"simplify":[25],"complexities":[27],"arising":[28],"from":[29],"TPs":[32,38,52,116],"in":[33,39,98,141],"Markov":[35],"chain,":[36],"study":[41],"are":[42,53,152],"reasonably":[43],"considered":[44],"to":[45,76,85,90,104,127,133,154],"be":[46,77],"finite":[47],"piecewise-homogeneous.":[48],"The":[49],"variations":[50],"of":[51,108,120,137],"stochastic":[54],"governed":[56],"by":[57],"a":[58,100,142],"higher":[59],"level":[60],"probability":[62],"(HTP)":[63],"matrix.":[64],"It":[65],"acceptable":[67],"both":[69],"TP":[71],"matrix":[72,75,148],"HTP":[74],"partly":[78],"unknown,":[79],"which":[80],"makes":[81],"system":[83,159],"closer":[84],"reality":[86],"more":[88],"complex":[89],"investigate.":[91],"context,":[94],"our":[95],"goal":[96],"lies":[97],"constructing":[99],"common":[101],"surface":[103],"avoid":[105],"effects":[107],"switching":[109],"among":[110],"sequential":[111],"subsystems":[112],"piecewise":[114],"homogeneous":[115],"on":[117],"convergence":[119],"surface.":[123],"Additionally,":[124],"we":[125],"aim":[126],"design":[128],"an":[129],"appropriate":[130],"SMC":[131,171],"law":[132],"guarantee":[134],"reachability":[136],"quasi-sliding":[139],"mode":[140],"finite-time":[143],"interval.":[144],"Through":[145],"linear":[147],"inequalities,":[149],"sufficient":[150],"criteria":[151],"offered":[153],"make":[155],"closed-loop":[157],"dynamic":[158],"stochastically":[160],"admissible.":[161],"Finally,":[162],"numerical":[164],"result":[165],"will":[166],"show":[167],"that":[168],"presented":[170],"valid.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":6}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
