{"id":"https://openalex.org/W1988187331","doi":"https://doi.org/10.1137/120867639","title":"Sampled-Data Distributed $H_{\\infty}$ Control of Transport Reaction Systems","display_name":"Sampled-Data Distributed $H_{\\infty}$ Control of Transport Reaction Systems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1988187331","doi":"https://doi.org/10.1137/120867639","mag":"1988187331"},"language":"en","primary_location":{"id":"doi:10.1137/120867639","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120867639","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/A5007830129","display_name":"Emilia Fridman","orcid":"https://orcid.org/0000-0002-8773-9494"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Emilia Fridman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000703900","display_name":"Netzer Bar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Netzer Bar Am","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007830129"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.5842,"has_fulltext":false,"cited_by_count":163,"citation_normalized_percentile":{"value":0.97477756,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"51","issue":"2","first_page":"1500","last_page":"1527"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9962000250816345,"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":0.9872000217437744,"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/mathematics","display_name":"Mathematics","score":0.8083606958389282},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6387267708778381},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6353439688682556},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6177371740341187},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5964386463165283},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5137697458267212},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.47844862937927246},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4772194027900696},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4755418300628662},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.43907618522644043},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42827683687210083},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.426231324672699},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4016660451889038},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38701003789901733},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2775079905986786},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12230086326599121},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10596734285354614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1010352075099945},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09295764565467834},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.07267782092094421}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8083606958389282},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6387267708778381},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6353439688682556},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6177371740341187},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5964386463165283},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5137697458267212},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.47844862937927246},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4772194027900696},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4755418300628662},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.43907618522644043},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42827683687210083},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.426231324672699},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4016660451889038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38701003789901733},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2775079905986786},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12230086326599121},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10596734285354614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1010352075099945},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09295764565467834},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.07267782092094421},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120867639","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120867639","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1506119886","https://openalex.org/W1511275238","https://openalex.org/W1519488445","https://openalex.org/W1538686203","https://openalex.org/W1551345249","https://openalex.org/W1560060148","https://openalex.org/W1563485952","https://openalex.org/W1579118835","https://openalex.org/W1977343811","https://openalex.org/W2015105055","https://openalex.org/W2032173185","https://openalex.org/W2051591980","https://openalex.org/W2053599456","https://openalex.org/W2059050356","https://openalex.org/W2060542320","https://openalex.org/W2062362860","https://openalex.org/W2063540702","https://openalex.org/W2063746477","https://openalex.org/W2068483374","https://openalex.org/W2072411834","https://openalex.org/W2076413069","https://openalex.org/W2078625090","https://openalex.org/W2078854980","https://openalex.org/W2080534652","https://openalex.org/W2082256594","https://openalex.org/W2083021866","https://openalex.org/W2087666144","https://openalex.org/W2105247839","https://openalex.org/W2114094279","https://openalex.org/W2115411858","https://openalex.org/W2116810757","https://openalex.org/W2144676805","https://openalex.org/W2153384549","https://openalex.org/W2167641362","https://openalex.org/W2498694880"],"related_works":["https://openalex.org/W1990582753","https://openalex.org/W2907195160","https://openalex.org/W4372294702","https://openalex.org/W2612014147","https://openalex.org/W2136735886","https://openalex.org/W2166290827","https://openalex.org/W2784143674","https://openalex.org/W2143994750","https://openalex.org/W2378841998","https://openalex.org/W2884265924"],"abstract_inverted_index":{"We":[0,46],"develop,":[1],"for":[2,89,95],"the":[3,41,53,69,79,83,90,99,122,127,131,140,143],"first":[4],"time,":[5],"sampled-data":[6,49,64],"distributed":[7],"$H_{\\infty}$":[8],"control":[9],"of":[10,13,31,98,110,142],"a":[11,48],"class":[12],"parabolic":[14],"systems.":[15],"These":[16],"systems":[17],"are":[18,61,76,102],"governed":[19],"by":[20,82],"one-dimensional":[21],"semilinear":[22],"transport":[23],"reaction":[24],"equations":[25],"with":[26],"additive":[27],"disturbances.":[28],"A":[29],"network":[30],"stationary":[32],"sensing":[33],"devices":[34],"provides":[35],"spatially":[36],"averaged":[37],"state":[38,85],"measurements":[39],"over":[40],"$N$":[42,72],"sampling":[43,54,123],"spatial":[44],"intervals.":[45],"suggest":[47],"controller":[50],"design,":[51],"where":[52],"intervals":[55,124],"in":[56,59,78,108],"time":[57],"and":[58,94,130],"space":[60],"bounded.":[62],"Our":[63],"static":[65],"output":[66],"feedback":[67],"enters":[68],"equation":[70],"through":[71],"shape":[73],"functions":[74],"(which":[75],"localized":[77],"space)":[80],"multiplied":[81],"corresponding":[84],"measurements.":[86],"Sufficient":[87],"conditions":[88],"internal":[91,128],"exponential":[92],"stability":[93,129],"$L_2$-gain":[96,133],"analysis":[97],"closed-loop":[100],"system":[101],"derived":[103],"via":[104],"direct":[105],"Lyapunov":[106],"method":[107],"terms":[109],"linear":[111],"matrix":[112],"inequalities":[113],"(LMIs).":[114],"By":[115],"solving":[116],"these":[117],"LMIs,":[118],"upper":[119],"bounds":[120],"on":[121],"that":[125],"preserve":[126],"resulting":[132],"can":[134],"be":[135],"found.":[136],"Numerical":[137],"examples":[138],"illustrate":[139],"efficiency":[141],"method.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":34},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
