{"id":"https://openalex.org/W4414603178","doi":"https://doi.org/10.1109/tase.2025.3610668","title":"Practical Finite-Time Contraction of Impulsive Systems With Application to Design of Impulsive Control for PFTC","display_name":"Practical Finite-Time Contraction of Impulsive Systems With Application to Design of Impulsive Control for PFTC","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4414603178","doi":"https://doi.org/10.1109/tase.2025.3610668"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2025.3610668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3610668","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5100701445","display_name":"Bin Liu","orcid":"https://orcid.org/0000-0001-6778-6237"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Liu","raw_affiliation_strings":["College of Science, Hunan University of Technology, Zhuzhou, Hunan, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Hunan University of Technology, Zhuzhou, Hunan, China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111650171","display_name":"Man Jiang","orcid":"https://orcid.org/0009-0008-4609-8222"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-Han Jiang","raw_affiliation_strings":["College of Science, Hunan University of Technology, Zhuzhou, Hunan, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Hunan University of Technology, Zhuzhou, Hunan, China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100435316","display_name":"Ling Li","orcid":"https://orcid.org/0000-0001-7916-2018"},"institutions":[{"id":"https://openalex.org/I2801441622","display_name":"China Railway Corporation","ror":"https://ror.org/044wv3489","country_code":"CN","type":"government","lineage":["https://openalex.org/I2801441622","https://openalex.org/I4210122102"]},{"id":"https://openalex.org/I4210141792","display_name":"Hunan Vocational Institute of Technology","ror":"https://ror.org/0464edf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141792"]},{"id":"https://openalex.org/I4210152160","display_name":"Zhengzhou Railway Vocational & Technical College","ror":"https://ror.org/04zs83x19","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Li","raw_affiliation_strings":["Department of Railway Power Supply and Electrical Engineering, Hunan Vocational College of Railway Technology, Zhuzhou, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Department of Railway Power Supply and Electrical Engineering, Hunan Vocational College of Railway Technology, Zhuzhou, Hunan, China","institution_ids":["https://openalex.org/I4210141792","https://openalex.org/I4210152160","https://openalex.org/I2801441622"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027686620","display_name":"Dongnan Liu","orcid":"https://orcid.org/0000-0001-8102-3949"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong-Nan Liu","raw_affiliation_strings":["College of Science, Hunan University of Technology, Zhuzhou, Hunan, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Hunan University of Technology, Zhuzhou, Hunan, China","institution_ids":["https://openalex.org/I49934816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100701445"],"corresponding_institution_ids":["https://openalex.org/I49934816"],"apc_list":null,"apc_paid":null,"fwci":1.4196,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8670016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"22","issue":null,"first_page":"21353","last_page":"21364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.8048999905586243,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.8048999905586243,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.7836999893188477,"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":0.7504000067710876,"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/control-theory","display_name":"Control theory (sociology)","score":0.8389000296592712},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5113000273704529},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.46779999136924744},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.4629000127315521},{"id":"https://openalex.org/keywords/missile","display_name":"Missile","score":0.4171000123023987},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4043999910354614},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.3610000014305115},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.3174999952316284}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8389000296592712},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5113000273704529},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.46779999136924744},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C2778857364","wikidata":"https://www.wikidata.org/wiki/Q974850","display_name":"Missile","level":2,"score":0.4171000123023987},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4043999910354614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39629998803138733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3767000138759613},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.3610000014305115},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.3174999952316284},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3091000020503998},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.2799000144004822},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C155710575","wikidata":"https://www.wikidata.org/wiki/Q83001","display_name":"Attitude control","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.25429999828338623},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3610668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3610668","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1545467442","display_name":null,"funder_award_id":"62073132","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7698255068","display_name":null,"funder_award_id":"2025JJ50402","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1541665771","https://openalex.org/W1988837728","https://openalex.org/W2000149165","https://openalex.org/W2021190957","https://openalex.org/W2035872530","https://openalex.org/W2045734116","https://openalex.org/W2049589722","https://openalex.org/W2057125989","https://openalex.org/W2063070535","https://openalex.org/W2086434355","https://openalex.org/W2091608925","https://openalex.org/W2103861049","https://openalex.org/W2104717325","https://openalex.org/W2106984790","https://openalex.org/W2117079884","https://openalex.org/W2119451500","https://openalex.org/W2123848981","https://openalex.org/W2128858044","https://openalex.org/W2134889984","https://openalex.org/W2137276591","https://openalex.org/W2141471226","https://openalex.org/W2159828818","https://openalex.org/W2165748475","https://openalex.org/W2178149309","https://openalex.org/W2231510493","https://openalex.org/W2478973922","https://openalex.org/W2792815403","https://openalex.org/W2900500391","https://openalex.org/W2974957213","https://openalex.org/W3000347853","https://openalex.org/W3043145702","https://openalex.org/W3091893357","https://openalex.org/W3113965786","https://openalex.org/W3133842470","https://openalex.org/W3165598610","https://openalex.org/W3166183187","https://openalex.org/W3169315994","https://openalex.org/W3208740250","https://openalex.org/W4200531691","https://openalex.org/W4293334944","https://openalex.org/W4312655313","https://openalex.org/W4385656500","https://openalex.org/W4390049815","https://openalex.org/W4390611378","https://openalex.org/W4391557441","https://openalex.org/W4394863122","https://openalex.org/W4399457549","https://openalex.org/W4401412144","https://openalex.org/W4402626656","https://openalex.org/W4402658942","https://openalex.org/W4402675536","https://openalex.org/W4403022001","https://openalex.org/W4407948132","https://openalex.org/W4410528931"],"related_works":[],"abstract_inverted_index":{"This":[0,240,257,270],"paper":[1],"investigates":[2],"practical":[3,23,29,191,263,397],"finite-time":[4,24,30,222,337],"contraction":[5],"(PFTC)":[6],"for":[7,17,48,72,84,107,336,396],"impulsive":[8,15,50,73,82,89,92,96,101,133,154,175,340,344],"systems":[9,194,227,245,280,283],"with":[10,117,135,201,356,371],"application":[11,118,357],"to":[12,80,119,164,189,197,211,291,313,358,380],"design":[13,81],"of":[14,42,54,88,123,153,174,278,362],"control":[16,83,93,97,102,122,134,176,276,332,341,345,361,373],"PFTC.":[18,85,108],"The":[19,109,218],"PFTC":[20,43,63,322,326],"notions":[21],"including":[22],"incremental":[25],"stability":[26,31,275],"(PFTIS)":[27],"and":[28,44,65,99,144,160,166,205,230,265,287,298,324,347,353,375,382,384],"(PFTS)":[32],"are":[33,70,78,104,126,249,329,334],"defined.":[34],"By":[35,315],"using":[36,316],"the":[37,40,60,62,66,76,120,131,136,141,147,150,156,172,178,202,209,274,294,317,321,325,359,389,393],"variation":[38],"method,":[39],"equivalence":[41],"PFTIS":[45],"is":[46,130,181,241,259],"established":[47],"an":[49],"system":[51,295],"via":[52],"PFTS":[53],"its":[55],"virtual":[56],"dynamics.":[57],"Based":[58],"on":[59,273],"equivalence,":[61],"criteria":[64,323],"settling":[67,138,327],"time":[68,184,308,328],"estimates":[69],"obtained":[71],"systems.":[74],"Then,":[75],"results":[77,111],"used":[79],"Three":[86,331],"types":[87],"control:":[90],"time-triggered":[91,339],"(T-IC),":[94,342],"state-triggered":[95,343],"(S-IC),":[98,346],"time-state-mixed-triggered":[100,348],"(TS-IC),":[103],"designed,":[105],"respectively,":[106],"theoretical":[110,351],"as":[112,114],"well":[113],"numerical":[115,354],"simulations":[116,355],"precision":[121,360],"missile":[124,363],"dynamics":[125,364],"shown":[127],"that":[128,293,366],"TS-IC":[129,169,367],"optimal":[132,394],"shortest":[137],"time,":[139],"i.e.,":[140],"fastest":[142],"entry":[143],"stay":[145,231],"in":[146,177,243,254,262],"target":[148,203,234],"area,":[149],"least":[151],"number":[152],"control,":[155],"lowest":[157],"impulse":[158,377],"frequency,":[159],"strongest":[161],"robustness":[162,387],"compared":[163,379],"T-IC":[165,381],"S-IC.":[167],"And":[168],"also":[170,385],"improves":[171],"mechanism":[173],"literature,":[179],"which":[180,225],"either":[182],"purely":[183],"or":[185,284],"state":[186,235,296],"triggered.":[187],"Note":[188],"Practitioners\u2014In":[190],"applications,":[192],"many":[193],"often":[195],"struggle":[196],"achieve":[198],"complete":[199],"consistency":[200],"state,":[204],"even":[206],"if":[207],"achievable,":[208],"conditions":[210],"be":[212,215],"met":[213],"will":[214],"very":[216],"strict.":[217],"study":[219,271],"introduces":[220],"\u201cpractical":[221],"contraction\u201d":[223],"(PFTC),":[224],"ensures":[226],"quickly":[228],"reach":[229],"near":[232],"a":[233,289,301,306],"without":[236,309],"requiring":[237,310],"exact":[238,311],"convergence.":[239],"useful":[242],"real-world":[244],"where":[246],"minor":[247],"fluctuations":[248],"tolerable":[250],"(e.g.,":[251,281],"voltage":[252],"regulation":[253],"power":[255,282],"grids).":[256],"approach":[258],"more":[260],"feasible":[261],"implementation":[264],"holds":[266],"significant":[267],"applied":[268],"value.":[269],"focuses":[272],"problem":[277],"dynamical":[279],"robotic":[285],"systems)":[286],"proposes":[288],"solution":[290],"ensure":[292],"enters":[297],"remains":[299],"within":[300,305],"predefined":[302],"acceptable":[303],"range":[304],"finite":[307],"convergence":[312],"equilibrium.":[314],"Lyapunov-like":[318],"function":[319],"metric,":[320],"obtained.":[330],"strategies":[333],"designed":[335],"stabilization:":[338],"(TS-IC).":[349],"Both":[350],"analysis":[352],"demonstrate":[365],"achieves":[368],"faster":[369],"stabilization":[370],"fewer":[372],"actions":[374],"lower":[376],"frequency":[378],"S-IC,":[383],"stronger":[386],"w.r.t.":[388],"perturbation,":[390],"making":[391],"it":[392],"strategy":[395],"applications.":[398]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
