{"id":"https://openalex.org/W4384929117","doi":"https://doi.org/10.1137/21m1462829","title":"Observability and Observers for a Class of Two-Dimensional Hyperbolic PDE Chaotic Systems","display_name":"Observability and Observers for a Class of Two-Dimensional Hyperbolic PDE Chaotic Systems","publication_year":2023,"publication_date":"2023-07-20","ids":{"openalex":"https://openalex.org/W4384929117","doi":"https://doi.org/10.1137/21m1462829"},"language":"en","primary_location":{"id":"doi:10.1137/21m1462829","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1462829","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5057098539","display_name":"Qiaomin Xiang","orcid":"https://orcid.org/0000-0002-6955-3303"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Qiaomin Xiang","raw_affiliation_strings":["School of Mathematics and Big Data, Foshan University, Foshan 528000, China, and Department of Electrical Engineering, Yeungnam University, Kyonsan 38541, South Korea"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Big Data, Foshan University, Foshan 528000, China, and Department of Electrical Engineering, Yeungnam University, Kyonsan 38541, South Korea","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075814025","display_name":"Ze\u2010Hao Wu","orcid":"https://orcid.org/0000-0003-4109-1757"},"institutions":[{"id":"https://openalex.org/I14894300","display_name":"Foshan University","ror":"https://ror.org/02xvvvp28","country_code":"CN","type":"education","lineage":["https://openalex.org/I14894300"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ze-Hao Wu","raw_affiliation_strings":["School of Mathematics and Big Data, Foshan University, Foshan 528000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Big Data, Foshan University, Foshan 528000, China","institution_ids":["https://openalex.org/I14894300"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029473053","display_name":"Ju H. Park","orcid":"https://orcid.org/0000-0002-0218-2333"},"institutions":[{"id":"https://openalex.org/I71007489","display_name":"Kyungnam University","ror":"https://ror.org/037pkxm09","country_code":"KR","type":"education","lineage":["https://openalex.org/I71007489"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ju H. Park","raw_affiliation_strings":["Department of Electrical Engineering, Yeungnam University, Kyonsan 38541, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yeungnam University, Kyonsan 38541, South Korea","institution_ids":["https://openalex.org/I71007489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048424631","display_name":"Bao\u2010Zhu Guo","orcid":"https://orcid.org/0000-0001-9078-0001"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bao-Zhu Guo","raw_affiliation_strings":["Key Laboratory of System and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China, and School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of System and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China, and School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057098539"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9391,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74620517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"61","issue":"4","first_page":"2282","last_page":"2304"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9659000039100647,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.9710472822189331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8468923568725586},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7043754458427429},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6719304919242859},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6718148589134216},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5275402069091797},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4317079782485962},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43112194538116455},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41244786977767944},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41086339950561523},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.41067296266555786},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10472193360328674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07116684317588806},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06802767515182495}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9710472822189331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8468923568725586},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7043754458427429},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6719304919242859},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6718148589134216},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5275402069091797},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4317079782485962},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43112194538116455},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41244786977767944},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41086339950561523},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.41067296266555786},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10472193360328674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07116684317588806},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06802767515182495},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1462829","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1462829","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3268721071","display_name":null,"funder_award_id":"2019R1A5A8080290","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G7459741091","display_name":null,"funder_award_id":"12131008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8157186975","display_name":null,"funder_award_id":"11901091","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W299921089","https://openalex.org/W1641808155","https://openalex.org/W1969545404","https://openalex.org/W1970234221","https://openalex.org/W1984136276","https://openalex.org/W2003645334","https://openalex.org/W2014283740","https://openalex.org/W2031450928","https://openalex.org/W2033517841","https://openalex.org/W2065901147","https://openalex.org/W2094143568","https://openalex.org/W2129820524","https://openalex.org/W2131153956","https://openalex.org/W2139348029","https://openalex.org/W2161206111","https://openalex.org/W2399399193","https://openalex.org/W2792586619","https://openalex.org/W2891501742","https://openalex.org/W2903905322","https://openalex.org/W2911231581","https://openalex.org/W2944736478","https://openalex.org/W2990787941","https://openalex.org/W3005628918","https://openalex.org/W3123647258","https://openalex.org/W3127100563","https://openalex.org/W3173433084"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2568951527","https://openalex.org/W2017177066","https://openalex.org/W2031732457","https://openalex.org/W3168184969","https://openalex.org/W3194664138","https://openalex.org/W4301349383","https://openalex.org/W2560835023","https://openalex.org/W1975757081"],"abstract_inverted_index":{".This":[0],"paper":[1],"is":[2],"concerned":[3],"with":[4,20],"both":[5],"observability":[6,30,33],"and":[7,31,41,64,81],"observers":[8,54],"for":[9],"a":[10],"class":[11],"of":[12,39,52,60,85],"systems":[13],"described":[14],"by":[15,36,57],"the":[16,37,47,61,77,86,97],"two-dimensional":[17],"hyperbolic":[18,101],"PDEs":[19],"superlinear":[21],"boundary":[22,42,62,65,103],"conditions":[23,71],"which":[24],"can":[25],"exhibit":[26],"chaos.":[27],"The":[28],"exact":[29],"approximate":[32],"are":[34,55,72,93],"shown":[35],"method":[38],"characteristic":[40],"reflection":[43],"relations.":[44],"Based":[45],"on":[46],"observability,":[48],"two":[49],"Luenberger":[50],"types":[51],"PDE":[53],"designed":[56],"making":[58],"use":[59],"velocity":[63],"displacement":[66],"measurement,":[67],"respectively.":[68],"Some":[69,90],"sufficient":[70],"then":[73],"developed":[74],"to":[75,95],"obtain":[76],"global":[78,82],"exponential":[79],"stability":[80,84],"asymptotic":[83],"observer":[87],"error":[88],"systems.":[89],"numerical":[91],"simulations":[92],"performed":[94],"validate":[96],"theoretical":[98],"results.Keywordsobservabilityobserverchaotic":[99],"system2-D":[100],"PDEsuperlinear":[102],"conditionMSC":[104],"codes93B0737N3534C2835L10":[105]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}