{"id":"https://openalex.org/W2808111491","doi":"https://doi.org/10.1155/2018/8953035","title":"Control of Complex Nonlinear Dynamic Rational Systems","display_name":"Control of Complex Nonlinear Dynamic Rational Systems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2808111491","doi":"https://doi.org/10.1155/2018/8953035","mag":"2808111491"},"language":"en","primary_location":{"id":"doi:10.1155/2018/8953035","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8953035","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/8953035.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2018/8953035.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042073790","display_name":"Quanmin Zhu","orcid":"https://orcid.org/0000-0001-8173-1179"},"institutions":[{"id":"https://openalex.org/I178535277","display_name":"University of the West of England","ror":"https://ror.org/02nwg5t34","country_code":"GB","type":"education","lineage":["https://openalex.org/I178535277"]},{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Quanmin Zhu","raw_affiliation_strings":["Department of Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol BS16 1QY, UK","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China","Department of Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol BS16 1QY","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083"],"raw_orcid":"https://orcid.org/0000-0001-8173-1179","affiliations":[{"raw_affiliation_string":"Department of Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol BS16 1QY, UK","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Department of Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol BS16 1QY","institution_ids":["https://openalex.org/I178535277"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100418837","display_name":"Li Liu","orcid":"https://orcid.org/0000-0002-6124-6472"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Liu","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083"],"raw_orcid":"https://orcid.org/0000-0002-6124-6472","affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080014014","display_name":"Weicun Zhang","orcid":"https://orcid.org/0000-0003-0047-0558"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weicun Zhang","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083"],"raw_orcid":"https://orcid.org/0000-0003-0047-0558","affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041126305","display_name":"Shaoyuan Li","orcid":"https://orcid.org/0000-0003-3427-2912"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaoyuan Li","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, 800 Dongchuan Rd., Minhang, Shanghai 200240, China","Department of Automation, Shanghai Jiao Tong University, 800 Dongchuan Rd., Minhang, Shanghai 200240"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, 800 Dongchuan Rd., Minhang, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, 800 Dongchuan Rd., Minhang, Shanghai 200240","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100418837"],"corresponding_institution_ids":["https://openalex.org/I92403157"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":3.2222,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.92194045,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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":0.9987000226974487,"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":0.9986000061035156,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7525292038917542},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7443363666534424},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5912655591964722},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5339533090591431},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5033549666404724},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.49605903029441833},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4803401231765747},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45769554376602173},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4326792061328888},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.41969603300094604},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.32714536786079407},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3220335841178894},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31662365794181824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2929483652114868},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11001399159431458},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08509865403175354}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7525292038917542},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7443363666534424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5912655591964722},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5339533090591431},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5033549666404724},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.49605903029441833},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4803401231765747},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45769554376602173},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4326792061328888},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.41969603300094604},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.32714536786079407},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3220335841178894},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31662365794181824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2929483652114868},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11001399159431458},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08509865403175354},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2018/8953035","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8953035","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/8953035.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8953035","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/8953035.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:36f375fd805f4bcb8e557ab9dcf2b0c2","is_oa":true,"landing_page_url":"https://doaj.org/article/36f375fd805f4bcb8e557ab9dcf2b0c2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2018 (2018)","raw_type":"article"},{"id":"pmh:oai:eprints.uwe.ac.uk:36742","is_oa":true,"landing_page_url":"http://eprints.uwe.ac.uk/36742/1/paper%20R1.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401464","display_name":"UWE Research Repository (UWE Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I178535277","host_organization_name":"University of the West of England","host_organization_lineage":["https://openalex.org/I178535277"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1155/2018/8953035","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8953035","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/8953035.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2808111491.pdf","grobid_xml":"https://content.openalex.org/works/W2808111491.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W82072587","https://openalex.org/W250691366","https://openalex.org/W275768826","https://openalex.org/W570566252","https://openalex.org/W1487127700","https://openalex.org/W1525625886","https://openalex.org/W1529998590","https://openalex.org/W1597554859","https://openalex.org/W1983045703","https://openalex.org/W1985975093","https://openalex.org/W1999834936","https://openalex.org/W2016033520","https://openalex.org/W2019375098","https://openalex.org/W2024565720","https://openalex.org/W2030115052","https://openalex.org/W2043313903","https://openalex.org/W2044235108","https://openalex.org/W2046247781","https://openalex.org/W2046930388","https://openalex.org/W2052943353","https://openalex.org/W2061659867","https://openalex.org/W2065570866","https://openalex.org/W2071493330","https://openalex.org/W2085353151","https://openalex.org/W2090894529","https://openalex.org/W2091170789","https://openalex.org/W2094537558","https://openalex.org/W2107600015","https://openalex.org/W2119637004","https://openalex.org/W2138484437","https://openalex.org/W2149647182","https://openalex.org/W2153696472","https://openalex.org/W2164554214","https://openalex.org/W2170312047","https://openalex.org/W2239833604","https://openalex.org/W2408091709","https://openalex.org/W2511891360","https://openalex.org/W2516232829","https://openalex.org/W2573241147","https://openalex.org/W2582888895","https://openalex.org/W2913465992","https://openalex.org/W3100957396","https://openalex.org/W4232239282","https://openalex.org/W4254218124"],"related_works":["https://openalex.org/W1991810297","https://openalex.org/W1819950161","https://openalex.org/W2032253950","https://openalex.org/W2101148463","https://openalex.org/W1604153366","https://openalex.org/W2100724434","https://openalex.org/W1506477645","https://openalex.org/W2121442342","https://openalex.org/W2560046691","https://openalex.org/W1999724572"],"abstract_inverted_index":{"Nonlinear":[0],"rational":[1,99],"systems/models,":[2,9],"also":[3],"known":[4],"as":[5],"total":[6],"nonlinear":[7,98,134],"dynamic":[8],"in":[10,21,34,46,60,102,172],"an":[11],"expression":[12],"of":[13,16,37,64,86,93,96,120,133,168],"a":[14,39,80,110],"ratio":[15],"two":[17],"polynomials,":[18],"have":[19],"roots":[20],"describing":[22],"general":[23,179],"engineering":[24],"plants":[25],"and":[26,89,113,141,156,175],"chemical":[27],"reaction":[28],"processes.":[29],"The":[30],"major":[31],"challenge":[32],"issue":[33],"the":[35,42,75,83,90,97,121,145,148,153,166,169,178],"control":[36,43,65,88,95,105,132],"such":[38],"system":[40,106],"is":[41],"input":[44],"embedded":[45],"its":[47,69],"denominator":[48],"polynomials.":[49],"With":[50],"extensive":[51],"searching,":[52],"it":[53,127],"could":[54],"not":[55],"find":[56],"any":[57],"systematic":[58],"approach":[59,77],"designing":[61],"this":[62,150],"class":[63],"systems":[66,135],"directly":[67],"from":[68],"model":[70],"structure.":[71],"This":[72,124],"study":[73,151],"expands":[74],"U\u2010model\u2010based":[76],"to":[78,129,163,176],"establish":[79],"platform":[81],"for":[82,181],"first":[84],"layer":[85,92],"feedback":[87],"second":[91],"adaptive":[94],"systems,":[100],"which,":[101],"principle,":[103],"separates":[104],"design":[107],"(without":[108],"involving":[109],"plant":[111,122],"model)":[112],"controller":[114],"output":[115],"determination":[116],"(with":[117],"solving":[118],"inversion":[119],"U\u2010model).":[123],"procedure":[125,171],"makes":[126],"possible":[128],"achieve":[130],"closed\u2010loop":[131],"with":[136],"linear":[137],"performance":[138],"(transient":[139],"response":[140],"steady\u2010state":[142],"accuracy).":[143],"For":[144],"conditions":[146],"using":[147],"approach,":[149],"presents":[152],"associated":[154],"stability":[155],"convergence":[157],"analyses.":[158],"Simulation":[159],"studies":[160],"are":[161],"performed":[162],"show":[164],"off":[165],"characteristics":[167],"developed":[170],"numerical":[173],"tests":[174],"give":[177],"guidelines":[180],"applications.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
