{"id":"https://openalex.org/W3183144077","doi":"https://doi.org/10.1109/tac.2021.3100289","title":"Exponential Stabilization of Reaction\u2013Diffusion Systems Via Intermittent Boundary Control","display_name":"Exponential Stabilization of Reaction\u2013Diffusion Systems Via Intermittent Boundary Control","publication_year":2021,"publication_date":"2021-07-27","ids":{"openalex":"https://openalex.org/W3183144077","doi":"https://doi.org/10.1109/tac.2021.3100289","mag":"3183144077"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3100289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3100289","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5075284628","display_name":"Xiaozhen Liu","orcid":"https://orcid.org/0000-0002-0136-9411"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Zhen Liu","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"raw_orcid":"https://orcid.org/0000-0002-0136-9411","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009683576","display_name":"Kai\u2010Ning Wu","orcid":"https://orcid.org/0000-0003-4122-9832"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai-Ning Wu","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"raw_orcid":"https://orcid.org/0000-0003-4122-9832","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101621468","display_name":"LI Ze-tao","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ze-Tao Li","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"raw_orcid":"https://orcid.org/0000-0002-2288-9184","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":3.7949,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.93969777,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"67","issue":"6","first_page":"3036","last_page":"3042"},"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":0.9993000030517578,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7682176828384399},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7016502022743225},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6665186285972595},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5909560322761536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.546187162399292},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5250166058540344},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4791916608810425},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4690532982349396},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4633508324623108},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3016894459724426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23529091477394104},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21859997510910034},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10575032234191895}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7682176828384399},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7016502022743225},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6665186285972595},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5909560322761536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.546187162399292},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5250166058540344},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4791916608810425},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4690532982349396},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4633508324623108},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3016894459724426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23529091477394104},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21859997510910034},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10575032234191895},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3100289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3100289","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1538686203","https://openalex.org/W1973695362","https://openalex.org/W2037027189","https://openalex.org/W2041011042","https://openalex.org/W2043779031","https://openalex.org/W2048275747","https://openalex.org/W2089654737","https://openalex.org/W2127070712","https://openalex.org/W2142366499","https://openalex.org/W2288403349","https://openalex.org/W2520224804","https://openalex.org/W2766090028","https://openalex.org/W2799979995","https://openalex.org/W2807731304","https://openalex.org/W2810650995","https://openalex.org/W2897002627","https://openalex.org/W2897092541","https://openalex.org/W2901304015","https://openalex.org/W2911460172","https://openalex.org/W2915685599","https://openalex.org/W2941580656","https://openalex.org/W2962715862","https://openalex.org/W3039217952","https://openalex.org/W3210839039","https://openalex.org/W4253949081"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2397777611","https://openalex.org/W2075693786","https://openalex.org/W2208893985","https://openalex.org/W2034561445","https://openalex.org/W2995834818","https://openalex.org/W2006090893"],"abstract_inverted_index":{"Exponential":[0],"stabilization":[1],"is":[2,28,53,58,75,84,104],"studied":[3],"for":[4,111],"reaction\u2013diffusion":[5],"systems":[6],"(RDSs)":[7],"with":[8,113],"a":[9,23,45,98],"reaction":[10],"term":[11],"satisfying":[12],"the":[13,37,62,70,89,94,108,120],"global":[14],"Lipschitz":[15],"condition":[16,47],"by":[17],"means":[18],"of":[19,51,72,122],"intermittent":[20,25,81,101],"boundary":[21,26,67,82,102],"control.First,":[22],"state-dependent":[24],"controller":[27,83,103],"designed":[29,95],"when":[30,69],"system":[31,63,73],"states":[32,64,74],"are":[33,116],"available.":[34],"By":[35],"employing":[36],"spatial":[38],"integral":[39],"functional":[40],"method":[41],"and":[42],"Poincar\u00e9\u2019s":[43],"inequality,":[44],"sufficient":[46],"ensuring":[48],"exponential":[49,109],"stability":[50,110],"RDSs":[52,91,112],"presented.":[54],"Then,":[55],"an":[56],"observer":[57],"presented":[59],"to":[60,87,106,118],"estimate":[61],"based":[65,92],"on":[66,93],"output,":[68],"information":[71],"not":[76],"fully":[77],"accessible.":[78],"An":[79],"observer-based":[80,100],"provided":[85],"aiming":[86],"stabilize":[88],"considered":[90],"observer.":[96],"Furthermore,":[97],"robust":[99],"proposed":[105],"ensure":[107],"uncertainties.":[114],"Examples":[115],"given":[117],"illustrate":[119],"effectiveness":[121],"results.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":15},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
