{"id":"https://openalex.org/W4317906263","doi":"https://doi.org/10.14736/kyb-2022-6-0843","title":"&lt;html&gt; An efficient &lt;i&gt;hp&lt;/i&gt; spectral collocation method for nonsmooth optimal control problems&lt;/html&gt;","display_name":"&lt;html&gt; An efficient &lt;i&gt;hp&lt;/i&gt; spectral collocation method for nonsmooth optimal control problems&lt;/html&gt;","publication_year":2023,"publication_date":"2023-01-24","ids":{"openalex":"https://openalex.org/W4317906263","doi":"https://doi.org/10.14736/kyb-2022-6-0843"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2022-6-0843","is_oa":true,"landing_page_url":"http://dx.doi.org/10.14736/kyb-2022-6-0843","pdf_url":"https://www.kybernetika.cz/content/2022/6/843/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2022/6/843/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032132340","display_name":"Mehrnoosh Hedayati","orcid":"https://orcid.org/0009-0005-5678-5702"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mehrnoosh Hedayati","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052534526","display_name":"H. A. Tehrani","orcid":"https://orcid.org/0000-0003-1593-7368"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hojjat Ahsani Tehrani","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070316701","display_name":"Alireza Fakharzadeh Jahromi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alireza Fakharzadeh Jahromi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072738582","display_name":"Mohammad Hadi Noori Skandari","orcid":"https://orcid.org/0000-0002-0900-1099"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohammad Hadi Noori Skandari","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030756029","display_name":"Dumitru B\u01celeanu","orcid":"https://orcid.org/0000-0002-0286-7244"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dumitru Baleanu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5032132340"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4005,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6143204,"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":"843","last_page":"862"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.7497000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.7497000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.597054123878479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46723586320877075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4463030993938446}],"concepts":[{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.597054123878479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46723586320877075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4463030993938446},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2022-6-0843","is_oa":true,"landing_page_url":"http://dx.doi.org/10.14736/kyb-2022-6-0843","pdf_url":"https://www.kybernetika.cz/content/2022/6/843/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/151533","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/151533","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/151533/Kybernetika_58-2022-6_1.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2022-6-0843","is_oa":true,"landing_page_url":"http://dx.doi.org/10.14736/kyb-2022-6-0843","pdf_url":"https://www.kybernetika.cz/content/2022/6/843/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4317906263.pdf"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W640428934","https://openalex.org/W1506895582","https://openalex.org/W1579057532","https://openalex.org/W1591476741","https://openalex.org/W1645258943","https://openalex.org/W1975910286","https://openalex.org/W1976578591","https://openalex.org/W1983611541","https://openalex.org/W1989038783","https://openalex.org/W1996092920","https://openalex.org/W2001175637","https://openalex.org/W2013324146","https://openalex.org/W2017977027","https://openalex.org/W2031553663","https://openalex.org/W2031947654","https://openalex.org/W2048066447","https://openalex.org/W2048395708","https://openalex.org/W2051158743","https://openalex.org/W2053446402","https://openalex.org/W2056261501","https://openalex.org/W2070630896","https://openalex.org/W2070946539","https://openalex.org/W2079127489","https://openalex.org/W2089105781","https://openalex.org/W2095131413","https://openalex.org/W2113706446","https://openalex.org/W2133248407","https://openalex.org/W2134298283","https://openalex.org/W2135832300","https://openalex.org/W2158543184","https://openalex.org/W2165414564","https://openalex.org/W2167324988","https://openalex.org/W2494951713","https://openalex.org/W2498677259","https://openalex.org/W2568663700","https://openalex.org/W2570121453","https://openalex.org/W2594368274","https://openalex.org/W2746143020","https://openalex.org/W2746348292","https://openalex.org/W2885531813","https://openalex.org/W2976587528","https://openalex.org/W3023027477","https://openalex.org/W3098925493","https://openalex.org/W3099623272","https://openalex.org/W4249396324","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2386544544","https://openalex.org/W1819281456","https://openalex.org/W2516631274","https://openalex.org/W2326328078","https://openalex.org/W1991403085","https://openalex.org/W1971314169","https://openalex.org/W2884782836","https://openalex.org/W4321496520","https://openalex.org/W2979944932","https://openalex.org/W2135085414"],"abstract_inverted_index":{"summary:One":[0],"of":[1,12,31,51,63,83,106,120,177,180],"the":[2,7,14,26,32,61,64,68,81,84,88,103,113,121,131,138,143,152,161,165,178,181],"most":[3],"challenging":[4],"problems":[5,18,110,174],"in":[6,25,67],"optimal":[8,16,108,162],"control":[9,17,27,109],"theory":[10],"consists":[11],"solving":[13,45],"nonsmooth":[15,107],"where":[19],"several":[20,127],"discontinuities":[21],"may":[22],"be":[23],"present":[24],"variable":[28,66,86,128],"and":[29,48,58,130,149,164],"derivative":[30,62],"state":[33,65,85],"variable.":[34],"Recently":[35],"some":[36,158,170],"extended":[37],"spectral":[38,99],"collocation":[39,70,100,140],"methods":[40],"have":[41],"been":[42],"introduced":[43],"for":[44,80,102,160],"such":[46,73],"problems,":[47],"a":[49],"matrix":[50],"differentiation":[52],"is":[53,76,123,133],"usually":[54],"used":[55],"to":[56,59,175],"discretize":[57],"approximate":[60],"particular":[69],"points.":[71,90,141,167],"In":[72,91],"methods,":[74],"there":[75],"typically":[77],"no":[78],"condition":[79],"continuity":[82],"at":[87],"switching":[89,144,166],"this":[92],"article,":[93],"we":[94,156],"propose":[95],"an":[96],"efficient":[97],"hp":[98],"method":[101],"general":[104],"form":[105],"based":[111],"on":[112],"operational":[114],"integration":[115],"matrix.":[116],"The":[117],"time":[118],"interval":[119],"problem":[122,132],"first":[124],"partitioned":[125],"into":[126],"subintervals,":[129],"then":[134],"discretized":[135,154],"by":[136],"considering":[137],"Legendre-Gauss-Lobatto":[139],"Here,":[142],"points":[145],"are":[146],"unknown":[147],"parameters,":[148],"having":[150],"solved":[151],"final":[153],"problem,":[155],"achieve":[157],"approximations":[159],"solutions":[163],"We":[168],"solve":[169],"comparative":[171],"numerical":[172],"test":[173],"support":[176],"performance":[179],"suggested":[182],"approach.":[183]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}