{"id":"https://openalex.org/W2145912980","doi":"https://doi.org/10.1109/ical.2011.6024766","title":"Existence principle of an optimal control for a flexible beam with three turning axles","display_name":"Existence principle of an optimal control for a flexible beam with three turning axles","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2145912980","doi":"https://doi.org/10.1109/ical.2011.6024766","mag":"2145912980"},"language":"en","primary_location":{"id":"doi:10.1109/ical.2011.6024766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ical.2011.6024766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Automation and Logistics (ICAL)","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/A5100816281","display_name":"Xuezhang Hou","orcid":null},"institutions":[{"id":"https://openalex.org/I4322298","display_name":"Towson University","ror":"https://ror.org/044w7a341","country_code":"US","type":"education","lineage":["https://openalex.org/I4322298"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xuezhang Hou","raw_affiliation_strings":["Mathematics Department, Towson University, Baltimore, Maryland, USA","Mathematics Department, Towson University, Baltimore, Maryland 21252, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Towson University, Baltimore, Maryland, USA","institution_ids":["https://openalex.org/I4322298"]},{"raw_affiliation_string":"Mathematics Department, Towson University, Baltimore, Maryland 21252, USA","institution_ids":["https://openalex.org/I4322298"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100816281"],"corresponding_institution_ids":["https://openalex.org/I4322298"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1576284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"477","last_page":"482"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9987999796867371,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9961000084877014,"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/beam","display_name":"Beam (structure)","score":0.7380974292755127},{"id":"https://openalex.org/keywords/axle","display_name":"Axle","score":0.7204435467720032},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6943305730819702},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5809075236320496},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5750954151153564},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.567882776260376},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5615872144699097},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.5461734533309937},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5273462533950806},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5246272683143616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44382357597351074},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4437383711338043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3636241555213928},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36298662424087524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32626432180404663},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23744985461235046},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2296990156173706},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.14805874228477478},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.14291879534721375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10936829447746277}],"concepts":[{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.7380974292755127},{"id":"https://openalex.org/C129727815","wikidata":"https://www.wikidata.org/wiki/Q188209","display_name":"Axle","level":2,"score":0.7204435467720032},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6943305730819702},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5809075236320496},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5750954151153564},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.567882776260376},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5615872144699097},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.5461734533309937},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5273462533950806},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5246272683143616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44382357597351074},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4437383711338043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3636241555213928},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36298662424087524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32626432180404663},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23744985461235046},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2296990156173706},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.14805874228477478},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.14291879534721375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10936829447746277},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ical.2011.6024766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ical.2011.6024766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Automation and Logistics (ICAL)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W601800249","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1980343472","https://openalex.org/W2026730079","https://openalex.org/W2029887559","https://openalex.org/W2036403179","https://openalex.org/W2037973641","https://openalex.org/W2052886370","https://openalex.org/W2083951605","https://openalex.org/W2167339603","https://openalex.org/W4299150230"],"related_works":["https://openalex.org/W650759427","https://openalex.org/W2331622280","https://openalex.org/W127377949","https://openalex.org/W1977278301","https://openalex.org/W1976398340","https://openalex.org/W2102593680","https://openalex.org/W2044872399","https://openalex.org/W2063531220","https://openalex.org/W1593295904","https://openalex.org/W2105646552"],"abstract_inverted_index":{"A":[0],"flexible":[1],"robot":[2,59],"beam":[3,19,60],"with":[4,26],"three":[5],"turning":[6],"axles":[7],"is":[8,31,62,71],"considered":[9],"in":[10,33],"this":[11],"paper.":[12],"An":[13],"evolution":[14],"equation":[15],"corresponding":[16],"to":[17],"the":[18,40,49,58],"system":[20,50,61],"formulated":[21],"by":[22],"partial":[23],"differential":[24],"equations":[25],"initial":[27],"and":[28,45,73],"boundary":[29],"conditions":[30],"established":[32],"an":[34,54,65],"appropriate":[35],"Hilbert":[36],"space.":[37],"Based":[38],"on":[39],"results":[41],"of":[42,48,57,68],"spectral":[43],"analysis":[44],"semigroup":[46],"generation":[47],"operator":[51],"studied":[52],"previously,":[53],"optimal":[55,69],"control":[56,70],"investigated.":[63],"Finally,":[64],"existence":[66],"principle":[67],"proposed":[72],"proved.":[74]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}