{"id":"https://openalex.org/W2586061796","doi":"https://doi.org/10.1109/tac.2017.2666040","title":"Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations","display_name":"Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations","publication_year":2017,"publication_date":"2017-02-08","ids":{"openalex":"https://openalex.org/W2586061796","doi":"https://doi.org/10.1109/tac.2017.2666040","mag":"2586061796"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2666040","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2666040","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1711.08671","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ngoc-Tu Trinh","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ngoc-Tu Trinh","raw_affiliation_strings":["Laboratoire d\u2019Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard-Lyon 1, 24, Villeurbanne, Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard-Lyon 1, 24, Villeurbanne, Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Vincent Andrieu","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Andrieu","raw_affiliation_strings":["Laboratoire d\u2019Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard-Lyon 1, 24, Villeurbanne, Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard-Lyon 1, 24, Villeurbanne, Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cheng-Zhong Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cheng-Zhong Xu","raw_affiliation_strings":["Laboratoire d\u2019Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard-Lyon 1, 24, Villeurbanne, Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Automatique et de G\u00e9nie des proc\u00e9d\u00e9s, Universit\u00e9 Claude Bernard-Lyon 1, 24, Villeurbanne, Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9719,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.90546892,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"62","issue":"9","first_page":"4527","last_page":"4536"},"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":0.9778000116348267,"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":0.9778000116348267,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.003700000001117587,"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/T13862","display_name":"Soil, Finite Element Methods","score":0.0034000000450760126,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.6883000135421753},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6876000165939331},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5932999849319458},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5760999917984009},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.545199990272522},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5304999947547913},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5299999713897705},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.43869999051094055},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.41850000619888306}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6883000135421753},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6876000165939331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6653000116348267},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5932999849319458},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5760999917984009},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.545199990272522},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5304999947547913},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5299999713897705},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.43869999051094055},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.41850000619888306},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4180999994277954},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3716000020503998},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.36579999327659607},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.34700000286102295},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3425999879837036},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3303999900817871},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2973000109195709},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.28859999775886536},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.2741999924182892},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2614000141620636}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2017.2666040","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2666040","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:arXiv.org:1711.08671","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.08671","pdf_url":"https://arxiv.org/pdf/1711.08671","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-01643291v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01643291","pdf_url":null,"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":"IEEE Transactions on Automatic Control, 2017, 62 (9), pp.4527 - 4536. ⟨10.1109/TAC.2017.2666040⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1711.08671","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.08671","pdf_url":"https://arxiv.org/pdf/1711.08671","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1057021034","https://openalex.org/W1869060484","https://openalex.org/W1974777461","https://openalex.org/W1984735519","https://openalex.org/W2016630129","https://openalex.org/W2066096538","https://openalex.org/W2076931046","https://openalex.org/W2086906338","https://openalex.org/W2093582444","https://openalex.org/W2095201412","https://openalex.org/W2095797625","https://openalex.org/W2118360955","https://openalex.org/W2120281474","https://openalex.org/W2140000341","https://openalex.org/W2151460005","https://openalex.org/W2162853993","https://openalex.org/W2178205091","https://openalex.org/W2333711310","https://openalex.org/W2462365303","https://openalex.org/W2482021336","https://openalex.org/W4211202937","https://openalex.org/W4240361988","https://openalex.org/W4388322678","https://openalex.org/W6738011017","https://openalex.org/W6765506672","https://openalex.org/W7052850270"],"related_works":[],"abstract_inverted_index":{"The":[0,36,85],"paper":[1],"deals":[2],"with":[3,43,81,91],"the":[4,12,24,28,34,40,44,53,61,67,77,82,89,96,102,108,116,120],"control":[5,25],"and":[6,27,58],"regulation":[7,87],"by":[8,16,51,60,95,107],"integral":[9,46,97],"controllers":[10],"for":[11],"nonlinear":[13,78,103],"systems":[14],"governed":[15],"scalar":[17],"quasi-linear":[18],"hyperbolic":[19],"partial":[20],"differential":[21],"equations.":[22],"Both":[23],"input":[26],"measured":[29],"output":[30,86],"are":[31,111],"located":[32],"on":[33,66],"boundary.":[35],"closed-loop":[37,79],"stabilization":[38],"of":[39,55,76,119],"linearized":[41],"model":[42],"designed":[45,121],"controller":[47,98,122],"is":[48,99],"proved":[49],"first":[50],"using":[52],"method":[54],"spectral":[56],"analysis":[57],"then":[59],"Lyapunov":[62,69],"direct":[63],"method.":[64],"Based":[65],"elaborated":[68],"function,":[70],"we":[71],"prove":[72],"local":[73],"exponential":[74],"stability":[75],"system":[80],"same":[83],"controller.":[84],"to":[88,114,123,125],"set-point":[90],"zero":[92],"static":[93],"error":[94],"shown":[100],"upon":[101],"system.":[104],"Numerical":[105],"simulations":[106],"Preissmann":[109],"scheme":[110],"carried":[112],"out":[113],"validate":[115],"robustness":[117],"performance":[118],"face":[124],"unknown":[126],"constant":[127],"disturbances.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2017-02-17T00:00:00"}