{"id":"https://openalex.org/W4385656449","doi":"https://doi.org/10.1109/tcsi.2023.3299864","title":"Semi-Global Bounded Output Regulation of Linear Two-Time-Scale Systems With Input Saturation","display_name":"Semi-Global Bounded Output Regulation of Linear Two-Time-Scale Systems With Input Saturation","publication_year":2023,"publication_date":"2023-08-08","ids":{"openalex":"https://openalex.org/W4385656449","doi":"https://doi.org/10.1109/tcsi.2023.3299864"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2023.3299864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2023.3299864","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-04189761v1/file/input_saturation.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027580299","display_name":"Yan Lei","orcid":"https://orcid.org/0000-0001-6142-8930"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Lei","raw_affiliation_strings":["School of Artificial Intelligence and Automation, and the Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, and the Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090447443","display_name":"Yan\u2010Wu Wang","orcid":"https://orcid.org/0000-0002-4722-1332"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan-Wu Wang","raw_affiliation_strings":["School of Artificial Intelligence and Automation, and the Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, and the Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031887275","display_name":"Xiao\u2010Kang Liu","orcid":"https://orcid.org/0000-0001-6262-6779"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Kang Liu","raw_affiliation_strings":["School of Artificial Intelligence and Automation, and the Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, and the Key Laboratory of Image Processing and Intelligent Control, Ministry of Education, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078506595","display_name":"Irinel\u2010Constantin Mor\u0103rescu","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Irinel-Constantin Mor\u0103rescu","raw_affiliation_strings":["CNRS, CRAN, Université de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, CRAN, Université de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027580299"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.5432,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65525055,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"70","issue":"11","first_page":"4560","last_page":"4569"},"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":0.9961000084877014,"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":0.9961000084877014,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.979200005531311,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.95660001039505,"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":0.8508468866348267},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6735224723815918},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5747061967849731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5181530714035034},{"id":"https://openalex.org/keywords/zenos-paradoxes","display_name":"Zeno's paradoxes","score":0.4742759168148041},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.4306102693080902},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4144507050514221},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.41412580013275146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3456922173500061},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2826666235923767}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8508468866348267},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6735224723815918},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5747061967849731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5181530714035034},{"id":"https://openalex.org/C7707877","wikidata":"https://www.wikidata.org/wiki/Q33378","display_name":"Zeno's paradoxes","level":2,"score":0.4742759168148041},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.4306102693080902},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4144507050514221},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.41412580013275146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3456922173500061},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2826666235923767},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2023.3299864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2023.3299864","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"},{"id":"pmh:oai:HAL:hal-04189761v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04189761","pdf_url":"https://hal.science/hal-04189761v1/file/input_saturation.pdf","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers, 2023, 70 (11), pp.4560-4569. ⟨10.1109/TCSI.2023.3299864⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04189761v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04189761","pdf_url":"https://hal.science/hal-04189761v1/file/input_saturation.pdf","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers, 2023, 70 (11), pp.4560-4569. ⟨10.1109/TCSI.2023.3299864⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1192622488","display_name":null,"funder_award_id":"HANDY","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2127059016","display_name":null,"funder_award_id":"ANR-18-CE40-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2402987151","display_name":null,"funder_award_id":"ANR-20-CE","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G280679505","display_name":null,"funder_award_id":"62173152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3345493962","display_name":null,"funder_award_id":"ANR-20-CE48-000","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3666426644","display_name":null,"funder_award_id":"18-CE40-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G494416187","display_name":null,"funder_award_id":"ANR-20-CE48-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5291899221","display_name":null,"funder_award_id":"62103156","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5605228141","display_name":null,"funder_award_id":"2021CFB05","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6010900714","display_name":null,"funder_award_id":"62233006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6851345361","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7714805554","display_name":null,"funder_award_id":"2021CFB052","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G980058787","display_name":null,"funder_award_id":"2022M721249","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385656449.pdf","grobid_xml":"https://content.openalex.org/works/W4385656449.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1515224583","https://openalex.org/W1569239057","https://openalex.org/W1978518835","https://openalex.org/W1979098741","https://openalex.org/W1985235885","https://openalex.org/W2015354951","https://openalex.org/W2018275019","https://openalex.org/W2019166202","https://openalex.org/W2024946394","https://openalex.org/W2055788400","https://openalex.org/W2062298332","https://openalex.org/W2118133052","https://openalex.org/W2139622113","https://openalex.org/W2150086974","https://openalex.org/W2153749420","https://openalex.org/W2165538017","https://openalex.org/W2626444137","https://openalex.org/W2734087611","https://openalex.org/W2890700906","https://openalex.org/W2944052321","https://openalex.org/W2945597728","https://openalex.org/W2955229919","https://openalex.org/W3000949301","https://openalex.org/W3011495784","https://openalex.org/W3049242399","https://openalex.org/W3095224412","https://openalex.org/W3107889562","https://openalex.org/W3108149920","https://openalex.org/W3128254021","https://openalex.org/W3159702486","https://openalex.org/W3172312644","https://openalex.org/W3172694454","https://openalex.org/W4206438994","https://openalex.org/W4213367573","https://openalex.org/W4312271987","https://openalex.org/W4381465871","https://openalex.org/W6754421304"],"related_works":["https://openalex.org/W4388287607","https://openalex.org/W2383752020","https://openalex.org/W2475803354","https://openalex.org/W2353128426","https://openalex.org/W4232681333","https://openalex.org/W2376477863","https://openalex.org/W2155553330","https://openalex.org/W2312892224","https://openalex.org/W55088335","https://openalex.org/W2570961029"],"abstract_inverted_index":{"Standard":[0],"output":[1,22,92],"regulation":[2,23,93],"design":[3,39],"techniques":[4],"cannot":[5],"be":[6],"applied":[7,57],"for":[8],"linear":[9],"two-time-scale":[10],"systems":[11],"subject":[12],"to":[13,42,45,58,63,99,144,146,158],"saturated":[14],"inputs.":[15],"In":[16],"this":[17],"work,":[18],"a":[19,29,68,89,103,119],"state":[20,33,70,132,153],"feedback":[21,34,71,84],"is":[24,40,56,73,108,142,155],"first":[25],"proposed":[26,109,143,164],"based":[27],"on":[28],"classical":[30],"stabilizing":[31],"composite":[32],"controller.":[35],"Nevertheless,":[36],"the":[37,49,64,77,82,95,112,130,134,147,160],"corresponding":[38],"difficult":[41],"implement":[43],"due":[44],"numerical":[46],"issues.":[47],"Thus,":[48],"method":[50],"of":[51,94,114,129,133,162],"asymptotic":[52],"power":[53],"series":[54],"expansion":[55],"provide":[59],"an":[60,137],"approximate":[61],"solution":[62],"regulator":[65],"equation.":[66],"Then,":[67],"time-continuous":[69],"controller":[72],"designed":[74],"by":[75,117],"combining":[76],"Chang":[78],"transformation":[79],"approach":[80],"and":[81],"low-gain":[83],"technique,":[85,165],"which":[86,110,151],"results":[87],"in":[88,150],"semi-global":[90],"bounded":[91],"closed-loop":[96],"system.":[97,135],"Furthermore,":[98],"reduce":[100],"control":[101,106,140],"updates,":[102],"dynamic":[104],"event-triggered":[105,139],"scheme":[107,141],"ensures":[111],"exclusion":[113],"Zeno":[115],"behavior":[116],"maintaining":[118],"strictly":[120],"positive":[121],"time":[122],"between":[123],"any":[124],"two":[125,166],"triggering":[126],"moments,":[127],"regardless":[128],"initial":[131],"Additionally,":[136],"observer-based":[138],"cater":[145],"practical":[148],"scenario":[149],"system":[152],"information":[154],"unavailable.":[156],"Finally,":[157],"demonstrate":[159],"effectiveness":[161],"our":[163],"examples":[167],"are":[168],"presented.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}