{"id":"https://openalex.org/W2098760195","doi":"https://doi.org/10.1109/tac.2008.2010968","title":"Impulsive Control of Discrete Systems With Time Delay","display_name":"Impulsive Control of Discrete Systems With Time Delay","publication_year":2009,"publication_date":"2009-03-30","ids":{"openalex":"https://openalex.org/W2098760195","doi":"https://doi.org/10.1109/tac.2008.2010968","mag":"2098760195"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2008.2010968","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2008.2010968","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/A5100963894","display_name":"Yu Zhang","orcid":"https://orcid.org/0009-0004-4271-5087"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Zhang","raw_affiliation_strings":["Department of Mathematics, University of Tongji, Shanghai, China","Dept. of Math., Tongji Univ., Shanghai#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tongji, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Dept. of Math., Tongji Univ., Shanghai#TAB#","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049902919","display_name":"Jitao Sun","orcid":"https://orcid.org/0000-0002-9581-8336"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jitao Sun","raw_affiliation_strings":["Department of Mathematics, University of Tongji, Shanghai, China","Dept. of Math., Tongji Univ., Shanghai#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tongji, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Dept. of Math., Tongji Univ., Shanghai#TAB#","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082124101","display_name":"Gang Feng","orcid":"https://orcid.org/0000-0001-8508-8416"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Gang Feng","raw_affiliation_strings":["Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China","Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, Kowloon"],"affiliations":[{"raw_affiliation_string":"Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, Kowloon","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100963894"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":12.3426,"has_fulltext":false,"cited_by_count":129,"citation_normalized_percentile":{"value":0.988748,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"54","issue":"4","first_page":"830","last_page":"834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.996999979019165,"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":0.996999979019165,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9930999875068665,"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/T10244","display_name":"Chaos control and synchronization","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.8155961036682129},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.7213268280029297},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6329136490821838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5992240309715271},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5719680786132812},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5549458265304565},{"id":"https://openalex.org/keywords/impulse-control","display_name":"Impulse control","score":0.4890519082546234},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4690972566604614},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4593188762664795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3171420097351074},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30841702222824097},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10059645771980286},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08342170715332031}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8155961036682129},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.7213268280029297},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6329136490821838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5992240309715271},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5719680786132812},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5549458265304565},{"id":"https://openalex.org/C3018727167","wikidata":"https://www.wikidata.org/wiki/Q6033829","display_name":"Impulse control","level":2,"score":0.4890519082546234},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4690972566604614},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4593188762664795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3171420097351074},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30841702222824097},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10059645771980286},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08342170715332031},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/tac.2008.2010968","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2008.2010968","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W187347695","https://openalex.org/W1977892256","https://openalex.org/W1979249151","https://openalex.org/W1983850932","https://openalex.org/W1995234043","https://openalex.org/W1998935825","https://openalex.org/W2002116864","https://openalex.org/W2017869961","https://openalex.org/W2038269211","https://openalex.org/W2052557014","https://openalex.org/W2055916861","https://openalex.org/W2088531361","https://openalex.org/W2119384322","https://openalex.org/W2137922272","https://openalex.org/W2138405647","https://openalex.org/W2143733504","https://openalex.org/W2147974763","https://openalex.org/W2168693278","https://openalex.org/W2170297213"],"related_works":["https://openalex.org/W2284504457","https://openalex.org/W4297085311","https://openalex.org/W3024978002","https://openalex.org/W2559793102","https://openalex.org/W2474566332","https://openalex.org/W958799247","https://openalex.org/W2327655907","https://openalex.org/W4383557691","https://openalex.org/W4206150742","https://openalex.org/W4241548059"],"abstract_inverted_index":{"This":[0],"note":[1],"deals":[2],"with":[3,9,25,36,70,82,92],"impulsive":[4,18,96,111],"control":[5,97],"of":[6,122],"discrete":[7,23,34,90],"systems":[8,24,35,63,91,106],"time":[10,15,26,93],"delay.":[11,27],"It's":[12],"the":[13,54,60,89,120,123],"first":[14],"that":[16,52,104],"an":[17],"controller":[19],"was":[20],"introduced":[21],"for":[22,32,88],"Firstly,":[28],"some":[29,57],"stability":[30,49,67,86],"criteria":[31,50,87],"delay":[33,94],"impulse":[37,71],"effects":[38],"are":[39,98,115],"obtained":[40,124],"by":[41,74],"using":[42,75],"Lyapunov":[43,76,79],"functionals":[44,77],"and":[45],"Razumikhin":[46,83],"technique.":[47],"These":[48,100],"show":[51,103],"if":[53],"impulses":[55],"satisfy":[56],"conditions,":[58],"then":[59],"original":[61],"stable":[62,109],"can":[64,107],"keep":[65],"their":[66],"property":[68],"even":[69],"effects.":[72],"Then":[73],"or":[78],"functions":[80],"together":[81],"technique,":[84],"two":[85,101],"under":[95,110],"given.":[99],"results":[102],"unstable":[105],"be":[108],"control.":[112],"Some":[113],"examples":[114],"also":[116],"presented":[117],"to":[118],"illustrate":[119],"efficiency":[121],"results.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":18}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
