{"id":"https://openalex.org/W2917221348","doi":"https://doi.org/10.1109/jas.2019.1911381","title":"Inverse optimal control of evolution systems and its application to extensible and shearable slender beams","display_name":"Inverse optimal control of evolution systems and its application to extensible and shearable slender beams","publication_year":2019,"publication_date":"2019-02-25","ids":{"openalex":"https://openalex.org/W2917221348","doi":"https://doi.org/10.1109/jas.2019.1911381","mag":"2917221348"},"language":"en","primary_location":{"id":"doi:10.1109/jas.2019.1911381","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2019.1911381","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","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/A5031954514","display_name":"K.D. Do","orcid":"https://orcid.org/0000-0002-8167-7675"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"K. D. Do","raw_affiliation_strings":["Department of Mechanical Engineering, Curtin University, Kent Street, Bentley, WA 6102, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Curtin University, Kent Street, Bentley, WA 6102, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029920779","display_name":"Anthony D. Lucey","orcid":"https://orcid.org/0000-0002-7053-4353"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"A. D. Lucey","raw_affiliation_strings":["Department of Mechanical Engineering, Curtin University, Kent Street, Bentley, WA 6102, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Curtin University, Kent Street, Bentley, WA 6102, Australia","institution_ids":["https://openalex.org/I205640436"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205640436"],"apc_list":null,"apc_paid":null,"fwci":0.775,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69244391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"6","issue":"2","first_page":"395","last_page":"409"},"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":1.0,"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":1.0,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9948999881744385,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5994633436203003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5955267548561096},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5897315740585327},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.581802487373352},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5606557726860046},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5549658536911011},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4832683205604553},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4755299389362335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.455456405878067},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.42456111311912537},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.417620986700058},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3288193941116333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3253164291381836},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28374868631362915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2710251808166504},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09365683794021606},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0809619128704071},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06768974661827087}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5994633436203003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5955267548561096},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5897315740585327},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.581802487373352},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5606557726860046},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5549658536911011},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4832683205604553},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4755299389362335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.455456405878067},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.42456111311912537},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.417620986700058},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3288193941116333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3253164291381836},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28374868631362915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2710251808166504},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09365683794021606},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0809619128704071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06768974661827087},{"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/jas.2019.1911381","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2019.1911381","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"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/CAA Journal of Automatica Sinica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W220796739","https://openalex.org/W591031131","https://openalex.org/W1498121547","https://openalex.org/W1600371943","https://openalex.org/W1820125862","https://openalex.org/W1969892532","https://openalex.org/W1981592473","https://openalex.org/W1986964980","https://openalex.org/W2004261738","https://openalex.org/W2009548080","https://openalex.org/W2009809439","https://openalex.org/W2011597842","https://openalex.org/W2023335184","https://openalex.org/W2061301711","https://openalex.org/W2074928605","https://openalex.org/W2130606767","https://openalex.org/W2138166945","https://openalex.org/W2145521915","https://openalex.org/W2159841361","https://openalex.org/W2161206374","https://openalex.org/W2169932488","https://openalex.org/W2172490084","https://openalex.org/W2464425617","https://openalex.org/W2466185199","https://openalex.org/W2550078115","https://openalex.org/W2575306595","https://openalex.org/W2575594030","https://openalex.org/W2594981614","https://openalex.org/W2607766985","https://openalex.org/W2791125264","https://openalex.org/W2792260344","https://openalex.org/W2946133627","https://openalex.org/W2998715689"],"related_works":["https://openalex.org/W2962746246","https://openalex.org/W1967384683","https://openalex.org/W4292923857","https://openalex.org/W162218241","https://openalex.org/W4302321938","https://openalex.org/W2618936491","https://openalex.org/W4285534277","https://openalex.org/W1989531755","https://openalex.org/W3209004265","https://openalex.org/W2031281152"],"abstract_inverted_index":{"An":[0],"optimal":[1,21,92],"(practical)":[2],"stabilization":[3,94],"problem":[4],"is":[5,52],"formulated":[6],"in":[7,17,47,58,75],"an":[8],"inverse":[9,91],"approach":[10],"and":[11,27,45,61,99],"solved":[12],"for":[13,97],"nonlinear":[14,106],"evolution":[15],"systems":[16],"Hilbert":[18],"spaces.":[19],"The":[20,71,85],"control":[22,46,77,95],"design":[23,78,90],"ensures":[24],"global":[25,28],"well-posedness":[26],"practical":[29],"K\u221e-exponential":[30],"stability":[31],"of":[32,83],"the":[33,48,59,76],"closed-loop":[34],"system,":[35],"minimizes":[36],"a":[37,67,81],"cost":[38],"functional,":[39],"which":[40],"appropriately":[41],"penalizes":[42],"both":[43],"state":[44,60],"sense":[49],"that":[50],"it":[51],"positive":[53],"definite":[54],"(and":[55],"radially":[56],"unbounded)":[57],"control,":[62],"without":[63],"having":[64],"to":[65,89],"solve":[66],"Hamilton-Jacobi-Belman":[68],"equation":[69],"(HJBE).":[70],"Lyapunov":[72],"functional":[73],"used":[74],"explicitly":[79],"solves":[80],"family":[82],"HJBEs.":[84],"results":[86],"are":[87],"applied":[88],"boundary":[93],"laws":[96],"extensible":[98],"shearable":[100],"slender":[101],"beams":[102],"governed":[103],"by":[104],"fully":[105],"partial":[107],"differential":[108],"equations.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
