{"id":"https://openalex.org/W7214945856","doi":"https://doi.org/10.48550/arxiv.2609.37411","title":"A posteriori controllability of non-linear remodelling in linear elastic continua","display_name":"A posteriori controllability of non-linear remodelling in linear elastic continua","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214945856","doi":"https://doi.org/10.48550/arxiv.2609.37411"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.37411","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37411","pdf_url":"https://arxiv.org/pdf/2609.37411","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.37411","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030056562","display_name":"Salvatore Di Stefano","orcid":"https://orcid.org/0000-0002-0943-3836","observed_orcids":["https://orcid.org/0000-0002-0943-3836"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Di Stefano, Salvatore","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070540647","display_name":"Marta Zoppello","orcid":"https://orcid.org/0000-0001-6659-4268","observed_orcids":["https://orcid.org/0000-0001-6659-4268"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Zoppello, Marta","raw_affiliation_strings":["Dipartimento di Scienze Matematiche \"Giuseppe Luigi Lagrange\" , Politecnico di Torino , corso Duca degli Abruzzi , 24 , 10129 , Torino (TO) , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche \"Giuseppe Luigi Lagrange\" , Politecnico di Torino , corso Duca degli Abruzzi , 24 , 10129 , Torino (TO) , Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11366","display_name":"Elasticity and Material Modeling","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11737","display_name":"Advanced Materials and Mechanics","score":0.007400000002235174,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10868","display_name":"Soft Robotics and Applications","score":0.005900000222027302,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/tissue-remodeling","display_name":"tissue remodeling","score":0.7390000224113464},{"id":"https://openalex.org/keywords/geometric-control-theory","display_name":"geometric control","score":0.7020000219345093},{"id":"https://openalex.org/keywords/underactuated-systems","display_name":"underactuated systems","score":0.7379999756813049},{"id":"https://openalex.org/keywords/equilibrium-configurations","display_name":"equilibrium configurations","score":0.7149999737739563},{"id":"https://openalex.org/keywords/finite-rotations","display_name":"finite rotations","score":0.6290000081062317}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8513000011444092},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.6904000043869019},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6114000082015991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5141000151634216},{"id":"https://openalex.org/C99322962","wikidata":"https://www.wikidata.org/wiki/Q17165464","display_name":"Vascular remodelling in the embryo","level":2,"score":0.4690999984741211},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4424999952316284},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43050000071525574},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4047999978065491},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.38339999318122864},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3555000126361847},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.3407000005245209},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3310000002384186},{"id":"https://openalex.org/C194053038","wikidata":"https://www.wikidata.org/wiki/Q7245087","display_name":"Principal part","level":2,"score":0.32600000500679016},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.3190999925136566},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3057999908924103},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.29789999127388},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C161326058","wikidata":"https://www.wikidata.org/wiki/Q7245073","display_name":"Principal axis theorem","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.2685999870300293},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26489999890327454},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.2648000121116638},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C91556481","wikidata":"https://www.wikidata.org/wiki/Q208388","display_name":"Isochoric process","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.2533000111579895},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.25290000438690186},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.37411","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37411","pdf_url":"https://arxiv.org/pdf/2609.37411","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,"listed_in":[],"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":"doi:10.48550/arxiv.2609.37411","doi":"https://doi.org/10.48550/arxiv.2609.37411","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37411","pdf_url":null,"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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.37411","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37411","pdf_url":"https://arxiv.org/pdf/2609.37411","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,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334080","display_name":"Gruppo Nazionale per la Fisica Matematica","ror":"https://ror.org/01d6bq278"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214945856.pdf","grobid_xml":"https://content.openalex.org/works/W7214945856.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1595765050","https://openalex.org/W2081459983","https://openalex.org/W2496203608","https://openalex.org/W2892277472","https://openalex.org/W2996495286","https://openalex.org/W3026173140","https://openalex.org/W3045828722"],"related_works":["https://openalex.org/W7165016842","https://openalex.org/W4415672265","https://openalex.org/W7214804976","https://openalex.org/W2076895704","https://openalex.org/W1979847606","https://openalex.org/W4311909530","https://openalex.org/W7098074864","https://openalex.org/W2093994873","https://openalex.org/W2526148668","https://openalex.org/W7134198888"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,9,28,59,81,95,111,122,134,145,154,171,181],"a":[3,35,44,65,88,138,149,161,178],"posteriori":[4],"controllability":[5,104,152,167],"of":[6,11,58,71,110,113,133,141,151,156,165,173,185],"remodelling":[7,36,52,61,73,82,126,166],"within":[8],"framework":[10,179],"Geometric":[12,114],"Control":[13,115,175],"Theory":[14,176],"applied":[15],"to":[16,84],"continuum":[17],"systems.":[18],"Remodelling":[19],"is":[20,32,41],"described":[21],"through":[22,137],"an":[23],"isochoric":[24],"Bilby--Kroner--Lee":[25],"decomposition,":[26],"where":[27],"internal":[29,135,187],"structural":[30,188],"transformation":[31],"represented":[33],"by":[34,43,94,108],"tensor":[37],"and":[38,51,75,102,128,168,183],"its":[39],"evolution":[40],"governed":[42],"stress-driven":[45],"constitutive":[46],"law.":[47],"Assuming":[48],"infinitesimal":[49],"deformation":[50],"stretches,":[53],"while":[54,144],"retaining":[55],"finite":[56],"rotations":[57],"principal":[60,72],"directions,":[62],"we":[63],"derive":[64],"nonlinear":[66,90,123],"state-space":[67],"representation":[68],"in":[69,190],"terms":[70],"stretches":[74,127],"orientation":[76],"variables.":[77],"This":[78],"formulation":[79],"allows":[80],"process":[83],"be":[85],"interpreted":[86],"as":[87,177],"finite-dimensional":[89],"control":[91],"system":[92],"parametrised":[93],"material":[96],"position.":[97],"Equilibrium":[98],"configurations":[99],"are":[100,106],"characterised,":[101],"under-actuated":[103],"problems":[105],"studied":[107],"means":[109],"tools":[112],"Theory.":[116],"The":[117,158],"three-dimensional":[118],"setting":[119],"shows":[120],"that":[121],"coupling":[124],"between":[125],"orientations":[129],"enables":[130],"complete":[131],"steering":[132],"state":[136],"reduced":[139],"number":[140],"independent":[142],"controls,":[143],"planar":[146],"reduction":[147],"reveals":[148],"loss":[150],"despite":[153],"presence":[155],"nonlinearity.":[157],"results":[159],"provide":[160],"first":[162],"systematic":[163],"investigation":[164],"further":[169],"support":[170],"development":[172],"Continuum":[174],"for":[180],"analysis":[182],"design":[184],"controlled":[186],"transformations":[189],"continuous":[191],"media.":[192]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}