{"id":"https://openalex.org/W4389609809","doi":"https://doi.org/10.1109/tac.2023.3341767","title":"PI Control for the Cascade Channels Modeled by General Saint-Venant Equations","display_name":"PI Control for the Cascade Channels Modeled by General Saint-Venant Equations","publication_year":2023,"publication_date":"2023-12-12","ids":{"openalex":"https://openalex.org/W4389609809","doi":"https://doi.org/10.1109/tac.2023.3341767"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3341767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3341767","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-04355315/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005034959","display_name":"Amaury Hayat","orcid":"https://orcid.org/0000-0002-7017-1097"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Amaury Hayat","raw_affiliation_strings":["CERMICS, &#x00C9;cole des Ponts ParisTech, Champs sur Marne, France"],"affiliations":[{"raw_affiliation_string":"CERMICS, &#x00C9;cole des Ponts ParisTech, Champs sur Marne, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033789833","display_name":"Yating Hu","orcid":"https://orcid.org/0009-0004-1576-8415"},"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":"Yating Hu","raw_affiliation_strings":["Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080126014","display_name":"Peipei Shang","orcid":"https://orcid.org/0000-0002-8666-9869"},"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":"Peipei Shang","raw_affiliation_strings":["Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005034959"],"corresponding_institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"],"apc_list":null,"apc_paid":null,"fwci":0.9009,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75394207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"69","issue":"8","first_page":"4974","last_page":"4987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9825999736785889,"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"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9807999730110168,"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/cascade","display_name":"Cascade","score":0.7169092893600464},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6317325234413147},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6145693063735962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6070295572280884},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5534850358963013},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5009794235229492},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46913784742355347},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4575277268886566},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4375761151313782},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3919838070869446},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35456424951553345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20631954073905945},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1289186179637909},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1085824966430664},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10582387447357178},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0780213475227356},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0703326165676117}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.7169092893600464},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6317325234413147},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6145693063735962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6070295572280884},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5534850358963013},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5009794235229492},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46913784742355347},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4575277268886566},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4375761151313782},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3919838070869446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35456424951553345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20631954073905945},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1289186179637909},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1085824966430664},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10582387447357178},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0780213475227356},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0703326165676117},{"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/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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":2,"locations":[{"id":"doi:10.1109/tac.2023.3341767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3341767","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"},{"id":"pmh:oai:HAL:hal-04355315v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04355315","pdf_url":"https://hal.science/hal-04355315/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://ieeexplore.ieee.org/document/10354365","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04355315v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04355315","pdf_url":"https://hal.science/hal-04355315/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://ieeexplore.ieee.org/document/10354365","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"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/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/G3819172531","display_name":null,"funder_award_id":"11971119","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5031467986","display_name":null,"funder_award_id":"12171368","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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/G6221780053","display_name":null,"funder_award_id":"11971","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/F4320336510","display_name":"Institut national des sciences math\u00e9matiques et de leurs interactions","ror":"https://ror.org/050jcm728"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4389609809.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1534230689","https://openalex.org/W1566183082","https://openalex.org/W1974777461","https://openalex.org/W1998453809","https://openalex.org/W2009028178","https://openalex.org/W2016630129","https://openalex.org/W2017493230","https://openalex.org/W2034647609","https://openalex.org/W2072863344","https://openalex.org/W2132545516","https://openalex.org/W2140122171","https://openalex.org/W2161311867","https://openalex.org/W2162853993","https://openalex.org/W2178205091","https://openalex.org/W2266298372","https://openalex.org/W2409963356","https://openalex.org/W2482021336","https://openalex.org/W2494132755","https://openalex.org/W2499641798","https://openalex.org/W2610839556","https://openalex.org/W2760179636","https://openalex.org/W2765429466","https://openalex.org/W2773260868","https://openalex.org/W2787545525","https://openalex.org/W2791788938","https://openalex.org/W2802112014","https://openalex.org/W2810826145","https://openalex.org/W2895239814","https://openalex.org/W2958004092","https://openalex.org/W2963483150","https://openalex.org/W2963811386","https://openalex.org/W3015878641","https://openalex.org/W3020151525","https://openalex.org/W3046046595","https://openalex.org/W3093248849","https://openalex.org/W3094542140","https://openalex.org/W3114305039","https://openalex.org/W3134401185","https://openalex.org/W3213905393","https://openalex.org/W3216165517","https://openalex.org/W4301594904"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W1566155057","https://openalex.org/W2767547480","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W3169007055","https://openalex.org/W2050693590","https://openalex.org/W1854082044"],"abstract_inverted_index":{"The":[0,25,37],"Input-to-State":[1,102],"Stability":[2,103],"of":[3,52,59,71,75,79,91,104,130],"the":[4,34,45,49,53,57,76,92,96,101,105,110,124,128],"non-horizontal":[5],"cascade":[6],"channels":[7,81],"with":[8,56,120],"different":[9,80],"arbitrary":[10],"cross":[11],"section,":[12],"slope":[13],"and":[14,28,48,100,127],"friction":[15],"modeled":[16],"by":[17,87],"Saint-Venant":[18,107],"equations":[19,108],"is":[20,40,82],"addressed":[21],"in":[22],"this":[23],"paper.":[24],"control":[26,39],"input":[27],"measured":[29],"output":[30,50,125],"are":[31,116,133],"both":[32,44],"on":[33],"collocated":[35],"boundary.":[36],"PI":[38],"proposed":[41],"to":[42],"study":[43],"exponential":[46,98],"stability":[47,99],"regulation":[51,126],"closed-loop":[54],"systems":[55],"aid":[58],"Lyapunov":[60,65],"approach.":[61],"An":[62],"explicit":[63],"quadratic":[64],"function":[66,70],"as":[67,135],"a":[68,72,88],"weighted":[69],"small":[73],"perturbation":[74],"non-uniform":[77],"steady-states":[78],"constructed.":[83],"We":[84],"show":[85],"that":[86],"suitable":[89],"choice":[90],"boundary":[93],"feedback":[94],"controls,":[95],"local":[97],"nonlinear":[106],"for":[109],"<inline-formula":[111],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[113],"notation=\"LaTeX\">$H^{2}$</tex-math></inline-formula>":[114],"norm":[115],"guaranteed,":[117],"then":[118],"validated":[119],"numerical":[121],"simulations.":[122],"Meanwhile,":[123],"rejection":[129],"constant":[131],"disturbances":[132],"realized":[134],"well.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
