{"id":"https://openalex.org/W2973138143","doi":"https://doi.org/10.23919/acc.2019.8814336","title":"Computing Input-Ouput Properties of Coupled Linear PDE systems","display_name":"Computing Input-Ouput Properties of Coupled Linear PDE systems","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2973138143","doi":"https://doi.org/10.23919/acc.2019.8814336","mag":"2973138143"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2019.8814336","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814336","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-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/A5008140673","display_name":"Sachin Shivakumar","orcid":"https://orcid.org/0000-0003-1353-2834"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sachin Shivakumar","raw_affiliation_strings":["School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA"],"affiliations":[{"raw_affiliation_string":"School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077552862","display_name":"Matthew M. Peet","orcid":"https://orcid.org/0000-0001-9360-6738"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew M. Peet","raw_affiliation_strings":["School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA"],"affiliations":[{"raw_affiliation_string":"School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008140673"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":1.1642,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79281226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"606","last_page":"613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9940000176429749,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9940000176429749,"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":0.9940000176429749,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9934999942779541,"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/bounded-function","display_name":"Bounded function","score":0.7482084035873413},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6423288583755493},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6095543503761292},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5504527688026428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48342692852020264},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47313418984413147},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.4410174489021301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3934653699398041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20856702327728271}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7482084035873413},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6423288583755493},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6095543503761292},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5504527688026428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48342692852020264},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47313418984413147},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.4410174489021301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3934653699398041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20856702327728271},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2019.8814336","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8814336","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1519488445","https://openalex.org/W1967322671","https://openalex.org/W2005630198","https://openalex.org/W2008314287","https://openalex.org/W2057159626","https://openalex.org/W2102753028","https://openalex.org/W2123060844","https://openalex.org/W2128713754","https://openalex.org/W2149823234","https://openalex.org/W2171842311","https://openalex.org/W2273822880","https://openalex.org/W2400408040","https://openalex.org/W2793310183","https://openalex.org/W2885256497","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2053267586","https://openalex.org/W2141474714","https://openalex.org/W2006504135","https://openalex.org/W2278611972","https://openalex.org/W2616801909","https://openalex.org/W2015370161","https://openalex.org/W2166492445","https://openalex.org/W4297797135","https://openalex.org/W2269650322","https://openalex.org/W4395093651"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"an":[5],"LMI-based":[6],"approach":[7],"to":[8,36,62,67,99,126],"analyze":[9],"input-output":[10],"properties":[11,89],"of":[12,72,124],"coupled":[13,27,128],"linear":[14,54],"PDE":[15],"systems.":[16,39],"This":[17,78],"work":[18],"expands":[19],"on":[20,57,83,118],"a":[21],"newly":[22],"developed":[23],"state-space":[24],"theory":[25],"for":[26,44,121],"PDEs":[28],"and":[29,33,46,85,112],"extends":[30],"the":[31,73,88,102,114],"positive-real":[32],"bounded-real":[34],"lemmas":[35],"infinite":[37],"dimensional":[38],"We":[40,95],"show":[41],"that":[42,101,113],"conditions":[43],"passivity":[45],"bounded":[47],"L2":[48],"gain":[49],"can":[50],"be":[51],"expressed":[52],"as":[53,86],"operator":[55,65,74],"inequalities":[56,66],"R\u00d7":[58],"L2.":[59],"A":[60],"method":[61,79],"convert":[63],"these":[64],"LMIs":[68],"by":[69],"using":[70],"parameterization":[71],"variables":[75],"is":[76],"proposed.":[77],"does":[80],"not":[81,106],"rely":[82],"discretization":[84],"such,":[87],"obtained":[90,104],"are":[91,105,116],"prima":[92],"facie":[93],"provable.":[94],"use":[96],"numerical":[97],"examples":[98],"demonstrate":[100],"bounds":[103,115],"conservative":[107],"in":[108],"any":[109],"significant":[110],"sense":[111],"computable":[117],"desktop":[119],"computers":[120],"systems":[122],"consisting":[123],"up":[125],"20":[127],"PDEs.":[129]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}