{"id":"https://openalex.org/W4285274177","doi":"https://doi.org/10.1109/tcsii.2022.3186632","title":"Stability Analysis of Haptic Systems With Time-Varying Delay via a Delay-Product-Type Lyapunov\u2013Krasovskii Functional","display_name":"Stability Analysis of Haptic Systems With Time-Varying Delay via a Delay-Product-Type Lyapunov\u2013Krasovskii Functional","publication_year":2022,"publication_date":"2022-06-28","ids":{"openalex":"https://openalex.org/W4285274177","doi":"https://doi.org/10.1109/tcsii.2022.3186632"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2022.3186632","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3186632","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 II: Express Briefs","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/A5119097340","display_name":"Yunfan Liu","orcid":"https://orcid.org/0000-0001-6724-8105"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunfan Liu","raw_affiliation_strings":["School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-6724-8105","affiliations":[{"raw_affiliation_string":"School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002565822","display_name":"Du Xiong","orcid":"https://orcid.org/0000-0002-3019-5342"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Du Xiong","raw_affiliation_strings":["School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101948795","display_name":"Leimin Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leimin Wang","raw_affiliation_strings":["School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-0663-3365","affiliations":[{"raw_affiliation_string":"School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042193453","display_name":"Chuan\u2010Ke Zhang","orcid":"https://orcid.org/0000-0001-8687-3723"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuan-Ke Zhang","raw_affiliation_strings":["School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-8687-3723","affiliations":[{"raw_affiliation_string":"School of Automation, the Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, and the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5119097340"],"corresponding_institution_ids":["https://openalex.org/I3124059619"],"apc_list":null,"apc_paid":null,"fwci":1.0945,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.73341931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"69","issue":"11","first_page":"4339","last_page":"4343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11687","display_name":"Teleoperation and Haptic Systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11687","display_name":"Teleoperation and Haptic Systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T13885","display_name":"Geophysics and Sensor Technology","score":0.9545999765396118,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T14011","display_name":"Elevator Systems and Control","score":0.9264000058174133,"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/stability","display_name":"Stability (learning theory)","score":0.7077758312225342},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6969331502914429},{"id":"https://openalex.org/keywords/haptic-technology","display_name":"Haptic technology","score":0.6455167531967163},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.541034460067749},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.48384466767311096},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45016205310821533},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.43609100580215454},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42870888113975525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41803622245788574},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41549697518348694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40156909823417664},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1968804895877838},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.1886691153049469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10486939549446106}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7077758312225342},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6969331502914429},{"id":"https://openalex.org/C152086174","wikidata":"https://www.wikidata.org/wiki/Q3030571","display_name":"Haptic technology","level":2,"score":0.6455167531967163},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.541034460067749},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.48384466767311096},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45016205310821533},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.43609100580215454},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42870888113975525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41803622245788574},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41549697518348694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40156909823417664},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1968804895877838},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.1886691153049469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10486939549446106},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2022.3186632","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3186632","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G1266694000","display_name":null,"funder_award_id":"62022074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G26576258","display_name":null,"funder_award_id":"B17040","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G8763317039","display_name":null,"funder_award_id":"61973284","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/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1880793639","https://openalex.org/W1895460310","https://openalex.org/W1963839355","https://openalex.org/W1984343324","https://openalex.org/W1985584401","https://openalex.org/W2016562720","https://openalex.org/W2028720893","https://openalex.org/W2108537617","https://openalex.org/W2113091440","https://openalex.org/W2126719279","https://openalex.org/W2148962693","https://openalex.org/W2150251204","https://openalex.org/W2285464184","https://openalex.org/W2557903677","https://openalex.org/W2768008538","https://openalex.org/W2888266597","https://openalex.org/W2939347525","https://openalex.org/W2955949404","https://openalex.org/W2989192843","https://openalex.org/W3027095990","https://openalex.org/W3183210665","https://openalex.org/W3211701628","https://openalex.org/W4205200551"],"related_works":["https://openalex.org/W156716224","https://openalex.org/W2111871955","https://openalex.org/W3175380930","https://openalex.org/W1989694608","https://openalex.org/W2139876914","https://openalex.org/W1986738380","https://openalex.org/W2642061445","https://openalex.org/W4233260495","https://openalex.org/W3094485622","https://openalex.org/W4301509736"],"abstract_inverted_index":{"In":[0],"this":[1],"brief,":[2],"the":[3,6,22,35,77,88,92,97,106,109,114,122],"stability":[4,19,37,49],"of":[5,80,96,108],"haptic":[7,23,98],"system":[8,24,99,123],"with":[9,26,51,105],"a":[10,17,27,39,46,69],"time-varying":[11,28],"delay":[12,29,57,90,116],"is":[13,30,43,59,72],"studied":[14],"by":[15,61],"developing":[16],"new":[18,47],"criterion.":[20],"Firstly,":[21],"model":[25],"established.":[31],"Next,":[32],"based":[33],"on":[34],"Lyapunov-Krasovskii":[36,41],"theory,":[38],"delay-product-type":[40],"functional":[42],"constructed.":[44],"Then,":[45],"delay-dependent":[48],"criterion":[50],"less":[52],"conservatism":[53],"due":[54],"to":[55,75],"more":[56],"information":[58],"derived":[60],"applying":[62],"an":[63],"auxiliary":[64],"function-based":[65],"integral":[66],"inequality.":[67],"Finally,":[68],"case":[70],"study":[71],"carried":[73],"out":[74],"show":[76,85],"stable":[78,93],"boundaries":[79],"different":[81],"delays.":[82],"The":[83],"results":[84],"that,":[86],"for":[87],"same":[89],"boundary,":[91],"upper":[94],"bound":[95],"increases":[100],"first":[101],"and":[102,120],"then":[103],"decreases":[104],"rise":[107],"virtual":[110],"damping.":[111],"Moreover,":[112],"increasing":[113],"time":[115],"has":[117],"negative":[118],"effects":[119],"makes":[121],"unstable.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
