{"id":"https://openalex.org/W2883914425","doi":"https://doi.org/10.1515/auto-2018-0053","title":"An unknown input observer for a class of diffusion-convection-reaction systems","display_name":"An unknown input observer for a class of diffusion-convection-reaction systems","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2883914425","doi":"https://doi.org/10.1515/auto-2018-0053","mag":"2883914425"},"language":"en","primary_location":{"id":"doi:10.1515/auto-2018-0053","is_oa":false,"landing_page_url":"https://doi.org/10.1515/auto-2018-0053","pdf_url":null,"source":{"id":"https://openalex.org/S4210170077","display_name":"at - Automatisierungstechnik","issn_l":"0178-2312","issn":["0178-2312","2196-677X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"at - Automatisierungstechnik","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/A5070393587","display_name":"Alexander Schaum","orcid":"https://orcid.org/0000-0002-2710-1851"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alexander Schaum","raw_affiliation_strings":["Chair of Automatic Control , Kiel University , Kiel , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Automatic Control , Kiel University , Kiel , Germany","institution_ids":["https://openalex.org/I32021983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070393587"],"corresponding_institution_ids":["https://openalex.org/I32021983"],"apc_list":null,"apc_paid":null,"fwci":0.7491,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.72431766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"66","issue":"7","first_page":"548","last_page":"557"},"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":1.0,"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":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9922000169754028,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9739000201225281,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/observer","display_name":"Observer (physics)","score":0.7507505416870117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6492815613746643},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.622634768486023},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6015002727508545},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.5746603012084961},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4890361726284027},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4781266748905182},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.4381174147129059},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4306018352508545},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4269160032272339},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42666006088256836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3134930729866028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.252008318901062},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.145391583442688},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1312662661075592},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09549504518508911},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07960483431816101}],"concepts":[{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.7507505416870117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6492815613746643},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.622634768486023},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6015002727508545},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.5746603012084961},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4890361726284027},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4781266748905182},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.4381174147129059},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4306018352508545},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4269160032272339},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42666006088256836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3134930729866028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.252008318901062},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.145391583442688},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1312662661075592},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09549504518508911},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07960483431816101},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/auto-2018-0053","is_oa":false,"landing_page_url":"https://doi.org/10.1515/auto-2018-0053","pdf_url":null,"source":{"id":"https://openalex.org/S4210170077","display_name":"at - Automatisierungstechnik","issn_l":"0178-2312","issn":["0178-2312","2196-677X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"at - Automatisierungstechnik","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":43,"referenced_works":["https://openalex.org/W40130861","https://openalex.org/W203646022","https://openalex.org/W1498121547","https://openalex.org/W1519488445","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1560060148","https://openalex.org/W1595709775","https://openalex.org/W1885737976","https://openalex.org/W1964373008","https://openalex.org/W1969862729","https://openalex.org/W1977001911","https://openalex.org/W1977343811","https://openalex.org/W1986047346","https://openalex.org/W1986640962","https://openalex.org/W1990203629","https://openalex.org/W2002066251","https://openalex.org/W2009006979","https://openalex.org/W2018466653","https://openalex.org/W2020622868","https://openalex.org/W2054649564","https://openalex.org/W2056685843","https://openalex.org/W2060542320","https://openalex.org/W2066467764","https://openalex.org/W2076667521","https://openalex.org/W2078746189","https://openalex.org/W2083505698","https://openalex.org/W2083514989","https://openalex.org/W2115948015","https://openalex.org/W2121855948","https://openalex.org/W2131920939","https://openalex.org/W2140134500","https://openalex.org/W2146414995","https://openalex.org/W2167919066","https://openalex.org/W2281099650","https://openalex.org/W2478643659","https://openalex.org/W2499641798","https://openalex.org/W2568927093","https://openalex.org/W2586071876","https://openalex.org/W2687005228","https://openalex.org/W2745411569","https://openalex.org/W2752161554","https://openalex.org/W4292027189"],"related_works":["https://openalex.org/W2394201814","https://openalex.org/W2371137242","https://openalex.org/W2350209725","https://openalex.org/W2544838361","https://openalex.org/W2315418312","https://openalex.org/W2501264310","https://openalex.org/W2113447317","https://openalex.org/W4205434950","https://openalex.org/W2111927334","https://openalex.org/W4378174414"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"the":[4,34,41,52,67,73],"problem":[5],"of":[6,12,46,66,72,79],"observer":[7,29,55,74],"design":[8],"for":[9,62],"a":[10,57,100],"class":[11],"1D":[13],"scalar":[14],"semi-linear":[15],"parabolic":[16],"distributed":[17],"parameter":[18],"systems":[19],"with":[20,89,103],"unknown":[21,27],"boundary":[22],"input":[23,28],"is":[24,30,37,87],"addressed.":[25],"An":[26],"proposed":[31],"in":[32,44,56,77],"which":[33],"measurement":[35,42,80],"information":[36],"imposed":[38],"directly":[39],"at":[40],"point":[43],"form":[45],"an":[47,94],"algebraic":[48],"constraint,":[49],"similar":[50],"to":[51],"reduced":[53],"order":[54],"finite-dimensional":[58],"set-up.":[59],"Sufficient":[60],"conditions":[61],"strong":[63],"state":[64],"detectability":[65],"system":[68,83,102],"and":[69,82,98],"exponential":[70],"convergence":[71],"are":[75],"drawn":[76],"terms":[78],"locations":[81],"parameters.":[84],"The":[85],"approach":[86],"illustrated":[88],"two":[90],"case":[91],"studies:":[92],"(i)":[93],"unstable":[95],"heat":[96],"equation,":[97],"(ii)":[99],"diffusion-convection-reaction":[101],"multiple":[104],"steady-state":[105],"attractor":[106],"profiles.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}