{"id":"https://openalex.org/W4406727891","doi":"https://doi.org/10.1109/tcsi.2025.3530611","title":"Stabilization of Time Scale-Type Nonlinear Systems With Stochastic Impulses","display_name":"Stabilization of Time Scale-Type Nonlinear Systems With Stochastic Impulses","publication_year":2025,"publication_date":"2025-01-22","ids":{"openalex":"https://openalex.org/W4406727891","doi":"https://doi.org/10.1109/tcsi.2025.3530611"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2025.3530611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3530611","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5101956824","display_name":"Guanglei Wu","orcid":"https://orcid.org/0009-0001-6040-4176"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guanglei Wu","raw_affiliation_strings":["School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China"],"raw_orcid":"https://orcid.org/0009-0001-6040-4176","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028133506","display_name":"Wenbing Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbing Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China"],"raw_orcid":"https://orcid.org/0000-0002-4638-1502","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028570509","display_name":"Yang Tang","orcid":"https://orcid.org/0000-0002-2750-8029"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Tang","raw_affiliation_strings":["Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China","Ministry of Education, Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-2750-8029","affiliations":[{"raw_affiliation_string":"Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]},{"raw_affiliation_string":"Ministry of Education, Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026925526","display_name":"Xiaotai Wu","orcid":"https://orcid.org/0000-0002-7164-2946"},"institutions":[{"id":"https://openalex.org/I70908550","display_name":"Anhui Polytechnic University","ror":"https://ror.org/041sj0284","country_code":"CN","type":"education","lineage":["https://openalex.org/I70908550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaotai Wu","raw_affiliation_strings":["Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu, China","Ministry of Education, Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment, Anhui Polytechnic University, Wuhu, China"],"raw_orcid":"https://orcid.org/0000-0002-7164-2946","affiliations":[{"raw_affiliation_string":"Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu, China","institution_ids":["https://openalex.org/I70908550"]},{"raw_affiliation_string":"Ministry of Education, Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment, Anhui Polytechnic University, Wuhu, China","institution_ids":["https://openalex.org/I70908550"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101956824"],"corresponding_institution_ids":["https://openalex.org/I78978612"],"apc_list":null,"apc_paid":null,"fwci":4.3995,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.93256589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"72","issue":"9","first_page":"5132","last_page":"5143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9412999749183655,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9412999749183655,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9395999908447266,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9251999855041504,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6521193981170654},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5541068911552429},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.49781274795532227},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.43858182430267334},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4300695061683655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40912050008773804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3726956248283386},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18991634249687195},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.17585048079490662},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12158775329589844}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6521193981170654},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5541068911552429},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.49781274795532227},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.43858182430267334},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4300695061683655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40912050008773804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3726956248283386},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18991634249687195},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.17585048079490662},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12158775329589844},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2025.3530611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2025.3530611","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G5001029261","display_name":null,"funder_award_id":"YZ2024245","funder_id":"https://openalex.org/F4320330337","funder_display_name":"Jiangsu Key Laboratory of Big Data Security and Intelligent Processing"},{"id":"https://openalex.org/G5607782557","display_name":null,"funder_award_id":"KYCX24_3706","funder_id":"https://openalex.org/F4320335769","funder_display_name":"Graduate Research and Innovation Projects of Jiangsu Province"},{"id":"https://openalex.org/G5884386629","display_name":null,"funder_award_id":"U2441245","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7545332879","display_name":null,"funder_award_id":"62233005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8401245427","display_name":null,"funder_award_id":"62376242","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8937178512","display_name":null,"funder_award_id":"62173292","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320330337","display_name":"Jiangsu Key Laboratory of Big Data Security and Intelligent Processing","ror":null},{"id":"https://openalex.org/F4320335769","display_name":"Graduate Research and Innovation Projects of Jiangsu Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W271810198","https://openalex.org/W1983655225","https://openalex.org/W1991789952","https://openalex.org/W2021679764","https://openalex.org/W2028470370","https://openalex.org/W2085172627","https://openalex.org/W2088680241","https://openalex.org/W2157631382","https://openalex.org/W2168208620","https://openalex.org/W2199063378","https://openalex.org/W2475538231","https://openalex.org/W2509548973","https://openalex.org/W2522350070","https://openalex.org/W2624198991","https://openalex.org/W2770541559","https://openalex.org/W2789912624","https://openalex.org/W2888847923","https://openalex.org/W2944690662","https://openalex.org/W2963058313","https://openalex.org/W2963064967","https://openalex.org/W2995511751","https://openalex.org/W3013102757","https://openalex.org/W3020022626","https://openalex.org/W3047593069","https://openalex.org/W3082001340","https://openalex.org/W3086768450","https://openalex.org/W3113965786","https://openalex.org/W3122549693","https://openalex.org/W3128452506","https://openalex.org/W3154855920","https://openalex.org/W3165598610","https://openalex.org/W3207145505","https://openalex.org/W4213193388","https://openalex.org/W4213457707","https://openalex.org/W4225108568","https://openalex.org/W4226074066","https://openalex.org/W4226239682","https://openalex.org/W4285248130","https://openalex.org/W4390691098","https://openalex.org/W4400903544","https://openalex.org/W4403445906"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832"],"abstract_inverted_index":{"Different":[0],"from":[1],"continuous-time":[2],"or":[3,89],"discrete-time":[4],"(CoD-T)":[5],"systems,":[6,189],"time":[7,77,112,134],"scale-type":[8,113],"systems":[9],"(TTSs)":[10],"can":[11,191],"operate":[12],"in":[13,108,123,176],"a":[14,26,105,138],"continuous-discrete":[15],"mode,":[16],"bridging":[17],"the":[18,32,38,48,65,73,83,124,127,143,149,152,155,158,182,205,208,211,214],"gap":[19],"between":[20],"continuous":[21],"and":[22,37,169,180,210],"discrete":[23],"states.":[24],"As":[25],"result,":[27],"conventional":[28],"methods":[29],"such":[30],"as":[31,194],"average":[33],"impulsive":[34,39,114,188],"interval":[35],"(AII)":[36],"density":[40,115],"function":[41],"(IDF)":[42],"are":[43,163],"not":[44,92],"suitable":[45],"for":[46,54,137,148,165,223],"characterizing":[47],"frequency":[49],"of":[50,57,76,81,85,120,126,142,145,151,160,184,197,207,213,220],"impulses":[51,69,86,146],"(FoI)":[52],"required":[53,147],"stability":[55,150,162],"analysis":[56],"TTSs":[58,166],"with":[59,167],"impulses.":[60],"This":[61],"is":[62,131],"due":[63],"to":[64,95,100],"possibility":[66],"that":[67],"all":[68],"may":[70,91],"fall":[71],"into":[72],"complementary":[74],"set":[75],"scales.":[78],"In":[79,98],"light":[80,203],"this,":[82],"number":[84,144],"satisfying":[87],"AII":[88],"IDF":[90],"be":[93,192],"sufficient":[94],"ensure":[96],"stability.":[97],"response":[99],"this":[101,109,177],"challenge,":[102],"we":[103],"introduce":[104],"novel":[106],"definition":[107],"paper,":[110],"termed":[111],"(TTID).":[116],"The":[117,173],"key":[118],"feature":[119],"TTID":[121,209],"lies":[122],"consideration":[125],"graininess":[128],"function,":[129],"which":[130,190],"determined":[132],"by":[133,217],"scales,":[135],"allowing":[136],"more":[139],"accurate":[140],"characterization":[141],"TTSs.":[153],"Employing":[154],"proposed":[156],"TTID,":[157],"criteria":[159],"asymptotical":[161],"presented":[164,175],"stochastic":[168],"Markov-type":[170],"impulses,":[171],"respectively.":[172],"results":[174,216],"paper":[178],"encompass":[179],"generalize":[181],"discoveries":[183],"some":[185],"existing":[186],"CoD-T":[187],"regarded":[193],"special":[195],"cases":[196],"our":[198],"results.":[199],"We":[200],"shed":[201],"new":[202],"on":[204],"advantages":[206],"effectiveness":[212],"theoretical":[215],"an":[218],"application":[219],"voltage":[221],"control":[222],"micro-grids.":[224]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}