{"id":"https://openalex.org/W4386597850","doi":"https://doi.org/10.1109/mmar58394.2023.10242484","title":"Topological derivative method for control of wave equation on networks","display_name":"Topological derivative method for control of wave equation on networks","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386597850","doi":"https://doi.org/10.1109/mmar58394.2023.10242484"},"language":"en","primary_location":{"id":"doi:10.1109/mmar58394.2023.10242484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar58394.2023.10242484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 27th International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-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/A5073661737","display_name":"Martin Gugat","orcid":"https://orcid.org/0000-0002-5281-110X"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Gugat","raw_affiliation_strings":["Friedrich-Alexander-Universität Erlangen-Nürnberg,Department of Data Science, Lehrstuhl für Dynamics, Control and Numerics (Alexander von Humboldt-Professur),Erlangen,Germany"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universität Erlangen-Nürnberg,Department of Data Science, Lehrstuhl für Dynamics, Control and Numerics (Alexander von Humboldt-Professur),Erlangen,Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053252610","display_name":"Meizhi Qian","orcid":null},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN","PL"],"is_corresponding":false,"raw_author_name":"Meizhi Qian","raw_affiliation_strings":["Polish Academy of Sciences,Systems Research Institute,Warsaw,Poland","East China Normal University, Shanghai, China","Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Polish Academy of Sciences,Systems Research Institute,Warsaw,Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"raw_affiliation_string":"East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]},{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078359464","display_name":"Jan Soko\u0142owski","orcid":"https://orcid.org/0000-0002-3560-7342"},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jan Sokolowski","raw_affiliation_strings":["Polish Academy of Sciences,Systems Research Institute,Warsaw,Poland","Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Polish Academy of Sciences,Systems Research Institute,Warsaw,Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073661737"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":1.2087,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82292445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"320","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9990000128746033,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/topology","display_name":"Topology (electrical circuits)","score":0.6567264199256897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5925378799438477},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.48177430033683777},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4365493357181549},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4289758801460266},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.41426950693130493},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3553946614265442},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3392469882965088},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3182606101036072},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.11701464653015137},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09574860334396362}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6567264199256897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5925378799438477},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.48177430033683777},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4365493357181549},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4289758801460266},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.41426950693130493},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3553946614265442},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3392469882965088},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3182606101036072},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.11701464653015137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09574860334396362},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmar58394.2023.10242484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar58394.2023.10242484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 27th International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322370","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1264498580","https://openalex.org/W1480440116","https://openalex.org/W1758699237","https://openalex.org/W1995067704","https://openalex.org/W2040466777","https://openalex.org/W2092975388","https://openalex.org/W2478917285","https://openalex.org/W2906994872","https://openalex.org/W3001596776","https://openalex.org/W4293183906","https://openalex.org/W4298228534","https://openalex.org/W4298373391","https://openalex.org/W6628641187","https://openalex.org/W7062074893"],"related_works":["https://openalex.org/W2046491619","https://openalex.org/W2389142552","https://openalex.org/W2239929624","https://openalex.org/W2081304691","https://openalex.org/W3018492858","https://openalex.org/W2127556255","https://openalex.org/W279903623","https://openalex.org/W3106323631","https://openalex.org/W3151822016","https://openalex.org/W2133690079"],"abstract_inverted_index":{"The":[0,10,25,46,87,116,167,177,195,208],"dynamical,":[1],"boundary":[2,178,186],"optimal":[3,26,132,155,202],"control":[4,30,133,156,179,206],"problems":[5,128,134,157],"on":[6,160,174],"networks":[7],"are":[8,158,237],"considered.":[9],"domain":[11,145],"of":[12,42,55,63,74,125,143,146,148,204,211,225],"definition":[13],"for":[14,29,123,129,140,190,217,233],"the":[15,38,43,52,56,61,64,71,75,84,106,110,135,144,149,171,175,201,205,212,218,223],"distributed":[16],"parameter":[17],"system":[18],"is":[19,32,49,66,96,119,138,170,188,198,215],"given":[20,199],"by":[21,181,200],"a":[22,97,161,164,185,191,226,234],"graph":[23,44,76],"G.":[24],"cost":[27,57,193],"function":[28],"problem":[31,180,236],"further":[33],"optimized":[34],"with":[35,58,163,222],"respect":[36,59],"to":[37,60,82,104],"shape":[39,92,107,196,213],"and":[40,51,93],"topology":[41,85,94],"\u03a9.":[45,86],"small":[47,165],"cycle":[48,65,227],"introduced":[50],"topological":[53,88,117,136,209],"derivative":[54,89,118,137,210],"size":[62,224],"determined.":[67],"In":[68,131],"this":[69],"way,":[70],"singular":[72],"perturbations":[73],"can":[77,101],"be":[78,102],"analyzed":[79],"in":[80,91],"order":[81],"change":[83],"method":[90],"optimization":[95],"new":[98],"tool":[99],"which":[100],"used":[103,120,139],"minimize":[105],"functionals":[108],"under":[109],"Partial":[111],"Differential":[112],"Equations":[113],"(PDEs)":[114],"constraints.":[115],"as":[121],"well":[122],"solution":[124],"optimum":[126,141],"design":[127,142],"graphs.":[130],"integration":[147],"state":[150,168,220],"equation.":[151],"As":[152],"an":[153],"example,":[154],"considered":[159],"cross":[162],"cycle.":[166],"equation":[169,173],"wave":[172],"graph.":[176],"Neumann":[182],"conditions":[183],"at":[184],"vertex":[187],"solved":[189],"tracking":[192],"function.":[194],"functional":[197,214],"value":[203],"cost.":[207],"determined":[216],"steady":[219],"model":[221,235],"\u03b5":[228],"\u2192":[229],"0.":[230],"Numerical":[231],"results":[232],"presented.":[238]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}