{"id":"https://openalex.org/W2039400932","doi":"https://doi.org/10.1080/00207729608929223","title":"Comments on \u2018State observation of a fixed-bed reactor based on reduced bilinear models\u2019","display_name":"Comments on \u2018State observation of a fixed-bed reactor based on reduced bilinear models\u2019","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2039400932","doi":"https://doi.org/10.1080/00207729608929223","mag":"2039400932"},"language":"en","primary_location":{"id":"doi:10.1080/00207729608929223","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207729608929223","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5034620863","display_name":"Hugues Rafaralahy","orcid":"https://orcid.org/0000-0001-8678-8115"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. RAFARALAHY","raw_affiliation_strings":["CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079512371","display_name":"Michel Zasadzi\u0144ski","orcid":"https://orcid.org/0000-0001-9387-2868"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. ZASADZINSKI","raw_affiliation_strings":["CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073578549","display_name":"Mohamed Boutayeb","orcid":"https://orcid.org/0000-0002-6872-529X"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. BOUTAYEB","raw_affiliation_strings":["CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031918402","display_name":"Mohamed Darouach","orcid":"https://orcid.org/0000-0003-2298-2124"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. DAROUACH","raw_affiliation_strings":["CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN-ACS CRNS URA 821, Universit\u00e9 Henri Poincar\u00e9-Nancy I , 186 rue de Lorraine, Cosnes-et-Romain, 54400, France","institution_ids":["https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17681981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"27","issue":"3","first_page":"349","last_page":"351"},"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":0.9973000288009644,"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":0.9973000288009644,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9914000034332275,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9484000205993652,"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/convergence","display_name":"Convergence (economics)","score":0.7385808825492859},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.7360060811042786},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6556220054626465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5534327030181885},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5135958194732666},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5095363259315491},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.508815586566925},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5074960589408875},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4370638430118561},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4282364249229431},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4046069383621216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2803323268890381},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14886075258255005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10710805654525757},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10164234042167664},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07054775953292847},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.061212122440338135},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05745410919189453},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.054371803998947144},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05133369565010071}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7385808825492859},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7360060811042786},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6556220054626465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5534327030181885},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5135958194732666},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5095363259315491},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.508815586566925},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5074960589408875},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4370638430118561},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4282364249229431},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4046069383621216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2803323268890381},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14886075258255005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10710805654525757},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10164234042167664},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07054775953292847},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.061212122440338135},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05745410919189453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.054371803998947144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05133369565010071},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207729608929223","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207729608929223","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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":8,"referenced_works":["https://openalex.org/W1981625071","https://openalex.org/W1995721999","https://openalex.org/W2011105296","https://openalex.org/W2026769037","https://openalex.org/W2064398773","https://openalex.org/W2066134327","https://openalex.org/W2094600658","https://openalex.org/W2250708778"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W2354231916","https://openalex.org/W3182767856","https://openalex.org/W2162140574","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"note,":[3],"we":[4,39,53],"point":[5],"out":[6],"that":[7],"the":[8,11,14,25,45],"proof":[9,43],"of":[10,13,44],"convergence":[12,47],"bilinear":[15],"systems":[16],"observer":[17],"proposed":[18,26],"by":[19],"Hua":[20],"(1993)":[21],"is":[22],"erroneous.":[23],"Furthermore,":[24],"existence":[27,56],"conditions":[28],"are":[29],"not":[30],"sufficient":[31,55],"as":[32],"was":[33],"claimed.":[34],"To":[35],"overcome":[36],"these":[37],"difficulties,":[38],"propose":[40],"a":[41],"straightforward":[42],"observer's":[46],"based":[48],"on":[49],"Lyapunov":[50],"stability":[51],"and":[52],"deduce":[54],"conditions.":[57]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}