{"id":"https://openalex.org/W1970356589","doi":"https://doi.org/10.1109/cdc.2004.1430335","title":"Pseudo-differential operators in parametrization of boundary-value control systems","display_name":"Pseudo-differential operators in parametrization of boundary-value control systems","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1970356589","doi":"https://doi.org/10.1109/cdc.2004.1430335","mag":"1970356589"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2004.1430335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1430335","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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/A5000228063","display_name":"M.T. Nihtil\u00e4","orcid":null},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"M. Nihtila","raw_affiliation_strings":["Faculty of Business and Information Technology, Department of Mathematics and Statistics, University of Kuopio, Kuopio, Finland"],"affiliations":[{"raw_affiliation_string":"Faculty of Business and Information Technology, Department of Mathematics and Statistics, University of Kuopio, Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110031378","display_name":"Jani Tervo","orcid":null},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"J. Tervo","raw_affiliation_strings":["Faculty of Business and Information Technology, Department of Mathematics and Statistics, University of Kuopio, Kuopio, Finland"],"affiliations":[{"raw_affiliation_string":"Faculty of Business and Information Technology, Department of Mathematics and Statistics, University of Kuopio, Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068587865","display_name":"Petri Kokkonen","orcid":null},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"P. Kokkonen","raw_affiliation_strings":["Faculty of Business and Information Technology, Department of Mathematics and Statistics, University of Kuopio, Kuopio, Finland"],"affiliations":[{"raw_affiliation_string":"Faculty of Business and Information Technology, Department of Mathematics and Statistics, University of Kuopio, Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000228063"],"corresponding_institution_ids":["https://openalex.org/I175532246"],"apc_list":null,"apc_paid":null,"fwci":1.2501,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74695271,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1 5","issue":null,"first_page":"1958","last_page":"1963 Vol.2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9997000098228455,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9969000220298767,"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/ode","display_name":"Ode","score":0.7072898149490356},{"id":"https://openalex.org/keywords/flatness","display_name":"Flatness (cosmology)","score":0.6251355409622192},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.611190676689148},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5871623754501343},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.5682373046875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5575947761535645},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5040856599807739},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48088720440864563},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4293050765991211},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42127835750579834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4130595326423645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36620938777923584},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3547844886779785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34142619371414185},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14228251576423645},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10596895217895508}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7072898149490356},{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.6251355409622192},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.611190676689148},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5871623754501343},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5682373046875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5575947761535645},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5040856599807739},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48088720440864563},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4293050765991211},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42127835750579834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4130595326423645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36620938777923584},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3547844886779785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34142619371414185},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14228251576423645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10596895217895508},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2004.1430335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1430335","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W34126534","https://openalex.org/W53900056","https://openalex.org/W88046515","https://openalex.org/W113371114","https://openalex.org/W118812536","https://openalex.org/W142796450","https://openalex.org/W956977147","https://openalex.org/W1511649216","https://openalex.org/W1511670827","https://openalex.org/W1528796636","https://openalex.org/W1566372820","https://openalex.org/W1573927207","https://openalex.org/W1674853353","https://openalex.org/W1877697960","https://openalex.org/W1966186934","https://openalex.org/W2000077489","https://openalex.org/W2002267403","https://openalex.org/W2022977680","https://openalex.org/W2065297540","https://openalex.org/W2082009002","https://openalex.org/W2084929741","https://openalex.org/W2094986367","https://openalex.org/W2112396687","https://openalex.org/W2121205584","https://openalex.org/W2162806633","https://openalex.org/W2180995201","https://openalex.org/W2488991522","https://openalex.org/W2614033271","https://openalex.org/W2615690892","https://openalex.org/W3141991840","https://openalex.org/W4230836784","https://openalex.org/W4292170110","https://openalex.org/W4298228534","https://openalex.org/W6630674954","https://openalex.org/W6639158357","https://openalex.org/W6673870458"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W2996841952","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236"],"abstract_inverted_index":{"Here":[0],"we":[1],"present":[2],"a":[3,92],"new":[4],"approach":[5],"for":[6,15,61,95],"the":[7,45,56,75,80,86,96],"design":[8,60],"of":[9],"open-loop":[10],"control":[11],"or":[12],"motion":[13],"planning":[14],"partial":[16],"differential":[17,63],"equations":[18],"(PDE)":[19],"and":[20,31,98],"systems.":[21,38,66],"It":[22],"is":[23,42,55],"based":[24],"on":[25],"pseudo-differential":[26],"operator":[27],"(/spl":[28],"psi/DO)":[29],"theory":[30,70],"applies":[32],"directly":[33],"to":[34,43,73,101],"linear":[35],"boundary-controlled":[36],"PDE":[37,76,104],"The":[39,67],"key":[40],"idea":[41],"parametrize":[44],"system":[46,87],"variables":[47],"by":[48],"some":[49],"external":[50],"parameters":[51],"(functions)":[52],"as":[53],"it":[54],"case":[57],"in":[58,79],"flatness-based":[59],"ordinary":[62],"equation":[64],"(ODE)":[65],"/spl":[68,82],"psi/DO":[69,83],"allows":[71,99],"us":[72,100],"invert":[74],"operators":[77],"considered":[78],"same":[81],"class":[84],"where":[85],"models":[88],"are.":[89],"This":[90],"gives":[91],"solid":[93],"basis":[94],"analysis":[97],"connect":[102],"separate":[103],"systems":[105],"like":[106],"ODE":[107],"models.":[108],"Calculated":[109],"examples":[110],"illustrate":[111],"these":[112],"ideas.":[113]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
