{"id":"https://openalex.org/W2092767741","doi":"https://doi.org/10.1109/tac.2014.2336451","title":"Control Design for Quasi-Linear Hyperbolic Systems With an Application to the Heavy Rope","display_name":"Control Design for Quasi-Linear Hyperbolic Systems With an Application to the Heavy Rope","publication_year":2014,"publication_date":"2014-09-25","ids":{"openalex":"https://openalex.org/W2092767741","doi":"https://doi.org/10.1109/tac.2014.2336451","mag":"2092767741"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2336451","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2336451","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067897661","display_name":"Torsten Kn\u00fcppel","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Torsten Knuppel","raw_affiliation_strings":["Institute of Control Theory, Technische Universit\u00e4t Dresden, Dresden, Germany","Inst. of Control Theor., Tech. Univ. Dresden, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control Theory, Technische Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Inst. of Control Theor., Tech. Univ. Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004573767","display_name":"Frank Woittennek","orcid":"https://orcid.org/0000-0001-8268-9582"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Woittennek","raw_affiliation_strings":["Institute of Control Theory, Technische Universit\u00e4t Dresden, Dresden, Germany","Inst. of Control Theor., Tech. Univ. Dresden, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control Theory, Technische Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Inst. of Control Theor., Tech. Univ. Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":1.2313,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.83490438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"60","issue":"1","first_page":"5","last_page":"18"},"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":0.9979000091552734,"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":0.9979000091552734,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9847999811172485,"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/flatness","display_name":"Flatness (cosmology)","score":0.8391171097755432},{"id":"https://openalex.org/keywords/rope","display_name":"Rope","score":0.7168642282485962},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.619362473487854},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6086442470550537},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.5808877944946289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.544812023639679},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.5151807069778442},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5102612972259521},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5011088848114014},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.43134042620658875},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42665237188339233},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35547134280204773},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35031697154045105},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28323471546173096},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.27840161323547363},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2696000933647156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1505676507949829}],"concepts":[{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.8391171097755432},{"id":"https://openalex.org/C162269090","wikidata":"https://www.wikidata.org/wiki/Q1156047","display_name":"Rope","level":2,"score":0.7168642282485962},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.619362473487854},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6086442470550537},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5808877944946289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.544812023639679},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.5151807069778442},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5102612972259521},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5011088848114014},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.43134042620658875},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42665237188339233},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35547134280204773},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35031697154045105},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28323471546173096},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.27840161323547363},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2696000933647156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1505676507949829},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"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":1,"locations":[{"id":"doi:10.1109/tac.2014.2336451","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2336451","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1188495460","display_name":null,"funder_award_id":"Wo 1601/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W357370830","https://openalex.org/W565249560","https://openalex.org/W573875256","https://openalex.org/W1508861003","https://openalex.org/W1966686724","https://openalex.org/W1997658431","https://openalex.org/W2011738040","https://openalex.org/W2012288903","https://openalex.org/W2017450012","https://openalex.org/W2020015769","https://openalex.org/W2020474464","https://openalex.org/W2034976587","https://openalex.org/W2039857496","https://openalex.org/W2046899724","https://openalex.org/W2058048328","https://openalex.org/W2065297540","https://openalex.org/W2082009002","https://openalex.org/W2093842327","https://openalex.org/W2112396687","https://openalex.org/W2117623527","https://openalex.org/W2135669655","https://openalex.org/W2144447122","https://openalex.org/W2180995201","https://openalex.org/W2502764250","https://openalex.org/W2732879487","https://openalex.org/W2992532933","https://openalex.org/W4240169192","https://openalex.org/W4245700617","https://openalex.org/W4246819274","https://openalex.org/W4313124094","https://openalex.org/W4388314704","https://openalex.org/W6649851339","https://openalex.org/W6665128710","https://openalex.org/W6741248174"],"related_works":["https://openalex.org/W1144035018","https://openalex.org/W2912864030","https://openalex.org/W2272074809","https://openalex.org/W2045532529","https://openalex.org/W2093671683","https://openalex.org/W2032211008","https://openalex.org/W2770459666","https://openalex.org/W4200082256","https://openalex.org/W2352151231","https://openalex.org/W2050285435"],"abstract_inverted_index":{"This":[0,17,76],"contribution":[1],"deals":[2],"with":[3],"the":[4,24,45,58,67,72,78,98],"feed-forward":[5],"control":[6,46],"design":[7],"for":[8,66,105],"distributed":[9,33],"parameter":[10,34],"systems":[11,35],"governed":[12],"by":[13,91],"quasi-linear":[14,68,95],"hyperbolic":[15,69],"equations.":[16],"is":[18,48,64,89],"achieved":[19],"in":[20,38],"two":[21],"steps:":[22],"Firstly,":[23],"basic":[25],"ideas":[26],"underlying":[27],"existing":[28],"flatness-based":[29],"approaches":[30],"to":[31,51],"nonlinear":[32],"are":[36],"restated":[37],"a":[39,43,52,82,94],"general":[40],"form.":[41],"As":[42],"result":[44],"problem":[47,54,63],"led":[49],"back":[50],"Cauchy":[53,62],"w.r.t.":[55],"space.":[56],"Second,":[57],"solution":[59],"of":[60,74,81,93,97,112],"this":[61,113],"discussed":[65],"case":[70],"using":[71],"method":[73],"characteristics.":[75],"includes":[77],"detailed":[79],"presentation":[80],"numerical":[83],"integration":[84],"scheme.":[85],"The":[86],"proposed":[87],"concept":[88],"illustrated":[90],"means":[92],"model":[96],"heavy":[99],"rope":[100],"and,":[101],"thus,":[102],"generalizes":[103],"results":[104],"related":[106],"finite-dimensional":[107],"and":[108],"linear":[109],"infinite-dimensional":[110],"models":[111],"system.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
