{"id":"https://openalex.org/W2157945144","doi":"https://doi.org/10.1109/acc.2005.1470584","title":"Optimal control of a class of one-dimensional nonlinear distributed parameter systems with discrete actuators","display_name":"Optimal control of a class of one-dimensional nonlinear distributed parameter systems with discrete actuators","publication_year":2005,"publication_date":"2005-08-10","ids":{"openalex":"https://openalex.org/W2157945144","doi":"https://doi.org/10.1109/acc.2005.1470584","mag":"2157945144"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2005.1470584","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470584","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5021266881","display_name":"Radhakant Padhi","orcid":"https://orcid.org/0000-0003-2406-4917"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Padhi","raw_affiliation_strings":["Department of AeroSpace Engineering, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of AeroSpace Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051014865","display_name":"S.N. Balakrishnan","orcid":"https://orcid.org/0000-0002-9506-401X"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.N. Balakrishnan","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, University of Missouri, Rolla, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2383,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79050771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2000","issue":null,"first_page":"3900","last_page":"3905"},"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":0.9991000294685364,"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":0.9991000294685364,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.7214813232421875},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7003703117370605},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6954141855239868},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.650881290435791},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5479188561439514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5054738521575928},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.42654740810394287},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3652125597000122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29577529430389404},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19376862049102783},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08429363369941711}],"concepts":[{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7214813232421875},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7003703117370605},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6954141855239868},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.650881290435791},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5479188561439514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5054738521575928},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.42654740810394287},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3652125597000122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29577529430389404},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19376862049102783},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08429363369941711},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2005.1470584","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470584","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.iisc.ac.in:4047","is_oa":false,"landing_page_url":"http://eprints.iisc.ac.in/4047/1/optimal.pdf","pdf_url":"http://eprints.iisc.ac.in/4047/1/optimal.pdf","source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.41999998688697815,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1487127700","https://openalex.org/W1488351266","https://openalex.org/W1535312356","https://openalex.org/W1538686203","https://openalex.org/W1566602494","https://openalex.org/W1579236455","https://openalex.org/W1597616429","https://openalex.org/W1641941314","https://openalex.org/W2021135119","https://openalex.org/W2078746189","https://openalex.org/W2085799724","https://openalex.org/W2088709416","https://openalex.org/W2099449742","https://openalex.org/W2113133274","https://openalex.org/W2125225415","https://openalex.org/W2155948924","https://openalex.org/W2163653096","https://openalex.org/W2798500587","https://openalex.org/W6635674959"],"related_works":["https://openalex.org/W2099333796","https://openalex.org/W1999058329","https://openalex.org/W2011222276","https://openalex.org/W2080330449","https://openalex.org/W2007221537","https://openalex.org/W2490690736","https://openalex.org/W785766289","https://openalex.org/W2185997459","https://openalex.org/W2967125373","https://openalex.org/W3151979504"],"abstract_inverted_index":{"Combining":[0],"the":[1,33,37,52,57,80,83,107],"principles":[2],"of":[3,17,20,30,51,56,72,82],"dynamic":[4],"inversion":[5],"and":[6,40],"optimization":[7],"theory,":[8],"a":[9,18,27,70,86,92],"new":[10],"approach":[11,44],"is":[12,96],"presented":[13,103],"for":[14,91],"stable":[15],"control":[16,89],"class":[19],"one-dimensional":[21],"nonlinear":[22],"distributed":[23],"parameter":[24],"systems":[25],"with":[26,75],"finite":[28],"number":[29],"actuators":[31],"in":[32],"spatial":[34],"domain.":[35],"Unlike":[36],"existing":[38],"'approximate-then-design'":[39],"'design-then-approximate'":[41],"techniques,":[42],"this":[43],"does":[45],"not":[46],"use":[47],"any":[48,116],"approximation":[49],"either":[50],"system":[53],"dynamics":[54],"or":[55],"resulting":[58],"controller.":[59],"The":[60],"formulation":[61],"has":[62],"more":[63],"practical":[64],"significance":[65],"because":[66],"one":[67],"can":[68,111],"implement":[69],"set":[71],"discrete":[73],"controllers":[74],"relative":[76],"ease.":[77],"To":[78],"demonstrate":[79],"potential":[81],"proposed":[84],"technique,":[85],"real-life":[87],"temperature":[88,109,118],"problem":[90],"heat":[93],"transfer":[94],"application":[95],"solved":[97],"through":[98],"simulations.":[99],"Numerical":[100],"results":[101],"are":[102],"which":[104],"show":[105],"that":[106],"desired":[108],"profile":[110],"be":[112],"achieved":[113],"starting":[114],"from":[115],"initial":[117],"profile.":[119]},"counts_by_year":[],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
