{"id":"https://openalex.org/W1817234464","doi":"https://doi.org/10.23919/ecc.2013.6669137","title":"Analysis and comparison of port-Hamiltonian formulations for field theories - demonstrated by means of the Mindlin plate","display_name":"Analysis and comparison of port-Hamiltonian formulations for field theories - demonstrated by means of the Mindlin plate","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1817234464","doi":"https://doi.org/10.23919/ecc.2013.6669137","mag":"1817234464"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669137","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1210.7630","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Markus Schoberl","orcid":null},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Markus Schoberl","raw_affiliation_strings":["Austrian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Austrian Academy of Sciences","institution_ids":["https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":null,"display_name":"Andreas Siuka","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146193","display_name":"Linz Center of Mechatronics (Austria)","ror":"https://ror.org/05dwv6530","country_code":"AT","type":"company","lineage":["https://openalex.org/I4210146193"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Andreas Siuka","raw_affiliation_strings":["Institute of Automatic Control and Control Systems Technology, University of Linz, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, University of Linz, Linz, Austria","institution_ids":["https://openalex.org/I4210146193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I138211613"],"apc_list":null,"apc_paid":null,"fwci":2.0365,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.87069565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"548","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","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/T12772","display_name":"Control and Stability of Dynamical Systems","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/T11416","display_name":"Numerical methods for differential equations","score":0.9708999991416931,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9642999768257141,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-principle","display_name":"Variational principle","score":0.5677000284194946},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.5601999759674072},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5041000247001648},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48590001463890076},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4794999957084656},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4767000079154968},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.47119998931884766},{"id":"https://openalex.org/keywords/calculus-of-variations","display_name":"Calculus of variations","score":0.42570000886917114},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.41769999265670776},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.40869998931884766}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6924999952316284},{"id":"https://openalex.org/C9259290","wikidata":"https://www.wikidata.org/wiki/Q745215","display_name":"Variational principle","level":2,"score":0.5677000284194946},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.5601999759674072},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5573999881744385},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5041000247001648},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48590001463890076},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4794999957084656},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.47119998931884766},{"id":"https://openalex.org/C97985569","wikidata":"https://www.wikidata.org/wiki/Q216861","display_name":"Calculus of variations","level":2,"score":0.42570000886917114},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.41769999265670776},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.40869998931884766},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.39879998564720154},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.39649999141693115},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3862000107765198},{"id":"https://openalex.org/C28062496","wikidata":"https://www.wikidata.org/wiki/Q1145653","display_name":"Hamilton's principle","level":3,"score":0.3758000135421753},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.37450000643730164},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36239999532699585},{"id":"https://openalex.org/C64618476","wikidata":"https://www.wikidata.org/wiki/Q164296","display_name":"Variational method","level":2,"score":0.3515999913215637},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.328000009059906},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.31839999556541443},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.28859999775886536},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2694999873638153},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26420000195503235},{"id":"https://openalex.org/C106214006","wikidata":"https://www.wikidata.org/wiki/Q1455898","display_name":"Well-posed problem","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C2776392105","wikidata":"https://www.wikidata.org/wiki/Q875744","display_name":"Euler\u2013Lagrange equation","level":3,"score":0.251800000667572},{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2013.6669137","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1210.7630","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.7630","pdf_url":"https://arxiv.org/pdf/1210.7630","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1210.7630","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.7630","pdf_url":"https://arxiv.org/pdf/1210.7630","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,15,57,76],"the":[4,21,28,32,43,54,68,74,78,86],"port-Hamiltonian":[5,49],"formulation":[6],"of":[7,23,39,45,67,96],"systems":[8],"described":[9],"by":[10],"partial":[11],"differential":[12],"equations.":[13],"Based":[14],"a":[16,48,61,89,100],"variational":[17,79],"principle":[18],"we":[19,52],"derive":[20],"equations":[22,44],"motion":[24,46],"as":[25,27,99],"well":[26],"boundary":[29],"conditions":[30],"in":[31,47],"well-known":[33],"Lagrangian":[34],"framework.":[35],"Then":[36],"it":[37],"is":[38,81],"interest":[40],"to":[41,60,73],"reformulate":[42],"setting,":[50],"where":[51],"compare":[53],"approach":[55,80],"based":[56],"Stokes-Dirac":[58],"structures":[59],"Hamiltonian":[62],"setting":[63],"that":[64],"makes":[65],"use":[66,85],"involved":[69],"bundle":[70],"structure":[71],"similar":[72],"one":[75],"which":[77],"based.":[82],"We":[83],"will":[84],"Mindlin":[87],"plate,":[88],"distributed":[90],"parameter":[91],"system":[92],"with":[93],"spatial":[94],"domain":[95],"dimension":[97],"two,":[98],"running":[101],"example.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}