{"id":"https://openalex.org/W2123119024","doi":"https://doi.org/10.1016/0005-1098(84)90067-0","title":"Singularly perturbed systems of diffusion type and feedback control","display_name":"Singularly perturbed systems of diffusion type and feedback control","publication_year":1984,"publication_date":"1984-01-01","ids":{"openalex":"https://openalex.org/W2123119024","doi":"https://doi.org/10.1016/0005-1098(84)90067-0","mag":"2123119024"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(84)90067-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(84)90067-0","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5002625485","display_name":"Aart van Harten","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"A. Van Harten","raw_affiliation_strings":["Mathematical Institute, State University of Utrecht, 3508 TA Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, State University of Utrecht, 3508 TA Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002625485"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.31161854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"1","first_page":"79","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9911999702453613,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9911999702453613,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9853000044822693,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9763000011444092,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6719884872436523},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6420799493789673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5779544115066528},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5101452469825745},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5074707865715027},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4985923767089844},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.49563801288604736},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4934784173965454},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4725354015827179},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4697711169719696},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.44755956530570984},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4334038496017456},{"id":"https://openalex.org/keywords/separation-principle","display_name":"Separation principle","score":0.4242985248565674},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42404720187187195},{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.4103076457977295},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37369322776794434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3052135705947876},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2937929630279541},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2900853157043457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25063616037368774},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13994058966636658},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10477998852729797},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10417905449867249},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0857943594455719},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.07207939028739929}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6719884872436523},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6420799493789673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5779544115066528},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5101452469825745},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5074707865715027},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4985923767089844},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.49563801288604736},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4934784173965454},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4725354015827179},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4697711169719696},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.44755956530570984},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4334038496017456},{"id":"https://openalex.org/C62431964","wikidata":"https://www.wikidata.org/wiki/Q2271572","display_name":"Separation principle","level":4,"score":0.4242985248565674},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42404720187187195},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.4103076457977295},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37369322776794434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3052135705947876},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2937929630279541},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2900853157043457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25063616037368774},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13994058966636658},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10477998852729797},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10417905449867249},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0857943594455719},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.07207939028739929},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0005-1098(84)90067-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(84)90067-0","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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":32,"referenced_works":["https://openalex.org/W106332986","https://openalex.org/W117987387","https://openalex.org/W609382008","https://openalex.org/W755278143","https://openalex.org/W1483382787","https://openalex.org/W1536026669","https://openalex.org/W1551576305","https://openalex.org/W1575147392","https://openalex.org/W1608340114","https://openalex.org/W1966313328","https://openalex.org/W1966922258","https://openalex.org/W1969177828","https://openalex.org/W1974543079","https://openalex.org/W2013737143","https://openalex.org/W2029521776","https://openalex.org/W2046904024","https://openalex.org/W2048510979","https://openalex.org/W2054263479","https://openalex.org/W2065970917","https://openalex.org/W2068412707","https://openalex.org/W2073370369","https://openalex.org/W2095089660","https://openalex.org/W2102602923","https://openalex.org/W2110954778","https://openalex.org/W3144829920","https://openalex.org/W3148965484","https://openalex.org/W4213298939","https://openalex.org/W4256005802","https://openalex.org/W6622349094","https://openalex.org/W6628993649","https://openalex.org/W6633105412","https://openalex.org/W6657618543"],"related_works":["https://openalex.org/W2385382668","https://openalex.org/W2283102826","https://openalex.org/W1974236007","https://openalex.org/W2023596821","https://openalex.org/W2351460627","https://openalex.org/W2100701926","https://openalex.org/W2335514579","https://openalex.org/W2079698632","https://openalex.org/W2188581046","https://openalex.org/W2108602411"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
