{"id":"https://openalex.org/W2045511098","doi":"https://doi.org/10.1109/tac.2015.2396645","title":"A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems","display_name":"A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems","publication_year":2015,"publication_date":"2015-01-29","ids":{"openalex":"https://openalex.org/W2045511098","doi":"https://doi.org/10.1109/tac.2015.2396645","mag":"2045511098"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2396645","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2396645","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/A5100726342","display_name":"Tengfei Liu","orcid":"https://orcid.org/0000-0002-3969-7605"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tengfei Liu","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","State Key Lab. of Synthetical Autom. for Process Ind., Northeastern Univ., Shenyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Lab. of Synthetical Autom. for Process Ind., Northeastern Univ., Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067046312","display_name":"Zhong\u2010Ping Jiang","orcid":"https://orcid.org/0000-0002-4868-9359"},"institutions":[{"id":"https://openalex.org/I4210108259","display_name":"Polymer Research Institute","ror":"https://ror.org/01qj7t912","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210108259"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Zhong-Ping Jiang","raw_affiliation_strings":["Polytechnic School of Engineering, New York University, Five MetroTech Center, Brooklyn, NY, USA","[Polytech. Sch. of Eng., New York Univ., New York, NY, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnic School of Engineering, New York University, Five MetroTech Center, Brooklyn, NY, USA","institution_ids":["https://openalex.org/I4210108259"]},{"raw_affiliation_string":"[Polytech. Sch. of Eng., New York Univ., New York, NY, USA]","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":31.0571,"has_fulltext":false,"cited_by_count":398,"citation_normalized_percentile":{"value":0.99787022,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"60","issue":"8","first_page":"2072","last_page":"2085"},"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":0.9954000115394592,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9936000108718872,"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":0.8470644950866699},{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"Small-gain theorem","score":0.7386230230331421},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6878827214241028},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5501348972320557},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5383648872375488},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4657621681690216},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4550701975822449},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4275369942188263},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.42181068658828735},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4204334318637848},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4101952612400055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36619746685028076},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31077060103416443},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11371400952339172}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8470644950866699},{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.7386230230331421},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6878827214241028},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5501348972320557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5383648872375488},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4657621681690216},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4550701975822449},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4275369942188263},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.42181068658828735},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4204334318637848},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4101952612400055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36619746685028076},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31077060103416443},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11371400952339172},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2015.2396645","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2396645","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":[{"id":"https://openalex.org/G5086129795","display_name":null,"funder_award_id":"61374042","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6740267794","display_name":null,"funder_award_id":"N130108001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8633910702","display_name":null,"funder_award_id":"N140805001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W83782864","https://openalex.org/W617909835","https://openalex.org/W626483778","https://openalex.org/W1484739396","https://openalex.org/W1537653646","https://openalex.org/W1595466107","https://openalex.org/W1685524015","https://openalex.org/W1972107234","https://openalex.org/W1978518835","https://openalex.org/W1981417706","https://openalex.org/W1985141482","https://openalex.org/W1985235885","https://openalex.org/W1998151680","https://openalex.org/W1999927900","https://openalex.org/W2002723775","https://openalex.org/W2015548130","https://openalex.org/W2017493230","https://openalex.org/W2036826525","https://openalex.org/W2042961277","https://openalex.org/W2047337966","https://openalex.org/W2055572820","https://openalex.org/W2074189653","https://openalex.org/W2084209135","https://openalex.org/W2090167557","https://openalex.org/W2093595045","https://openalex.org/W2099308299","https://openalex.org/W2100409338","https://openalex.org/W2103013786","https://openalex.org/W2108553625","https://openalex.org/W2111990577","https://openalex.org/W2113516961","https://openalex.org/W2115958676","https://openalex.org/W2116089238","https://openalex.org/W2116601658","https://openalex.org/W2118133052","https://openalex.org/W2133947385","https://openalex.org/W2142544953","https://openalex.org/W2165626406","https://openalex.org/W2988545412","https://openalex.org/W3101086659","https://openalex.org/W3150904326","https://openalex.org/W3151151945","https://openalex.org/W6602273323","https://openalex.org/W6676130228"],"related_works":["https://openalex.org/W2620928602","https://openalex.org/W2098989671","https://openalex.org/W2099438021","https://openalex.org/W2571307628","https://openalex.org/W2038920950","https://openalex.org/W3138295754","https://openalex.org/W4376456722","https://openalex.org/W2133447038","https://openalex.org/W1990502710","https://openalex.org/W2159479095"],"abstract_inverted_index":{"This":[0],"paper":[1,30],"presents":[2],"a":[3,103,109,161],"new":[4,104,162],"approach":[5,99],"to":[6,102,115,135,138,150,158,196],"event-triggered":[7,86,168,202],"control":[8,87,169,203],"for":[9,108,167,201],"nonlinear":[10,23,112,171],"uncertain":[11,172],"systems":[12,113,173],"by":[13,91],"using":[14,92],"the":[15,22,45,51,55,59,69,78,81,97,123,129,139,144,151,154,175,183,187,191,198],"notion":[16],"of":[17,28,71,111,122,170],"input-to-state":[18,48],"stability":[19],"(ISS)":[20],"and":[21,58,142,204],"small-gain":[24,94],"theorem.":[25],"The":[26],"contribution":[27],"this":[29],"is":[31,35,47,63,75,88,126,165,179],"threefold.":[32],"First,":[33],"it":[34],"proved":[36],"that":[37,182],"infinitely":[38],"fast":[39],"sampling":[40,52,106,188],"can":[41,132,193],"be":[42,133,136,194],"avoided":[43],"if":[44,153],"system":[46,131,145],"stabilizable":[49],"with":[50,85,186],"error":[53,189],"as":[54,190],"external":[56,116,124,140,155],"input":[57,192],"corresponding":[60],"ISS":[61,93,184],"gain":[62,185],"locally":[64],"Lipschitz.":[65],"No":[66],"assumption":[67],"on":[68],"existence":[70],"known":[72],"ISS-Lyapunov":[73],"functions":[74],"made":[76],"in":[77,174],"discussions.":[79],"Moreover,":[80],"forward":[82],"completeness":[83],"problem":[84],"studied":[89],"systematically":[90],"arguments.":[95],"Second,":[96],"proposed":[98,199],"gives":[100],"rise":[101],"self-triggered":[105,205],"strategy":[107],"class":[110],"subject":[114],"disturbances.":[117],"If":[118],"an":[119],"upper":[120],"bound":[121],"disturbance":[125,156],"known,":[127],"then":[128],"closed-loop":[130],"designed":[134,195],"robust":[137],"disturbance,":[141],"moreover,":[143],"state":[146],"globally":[147],"asymptotically":[148],"converges":[149],"origin":[152],"decays":[157],"zero.":[159],"Third,":[160],"design":[163],"method":[164],"developed":[166],"strict-feedback":[176],"form.":[177],"It":[178],"particularly":[180],"shown":[181],"satisfy":[197],"condition":[200],"control.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":27},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":52},{"year":2022,"cited_by_count":44},{"year":2021,"cited_by_count":56},{"year":2020,"cited_by_count":48},{"year":2019,"cited_by_count":39},{"year":2018,"cited_by_count":45},{"year":2017,"cited_by_count":30},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
