{"id":"https://openalex.org/W2107571601","doi":"https://doi.org/10.1109/cdc.2007.4434867","title":"A proportional-plus-integral boundary control design for an unstable heat conduction system","display_name":"A proportional-plus-integral boundary control design for an unstable heat conduction system","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2107571601","doi":"https://doi.org/10.1109/cdc.2007.4434867","mag":"2107571601"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5091298480","display_name":"Meng\u2010Bi Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Meng-Bi Cheng","raw_affiliation_strings":["Electrical Engineering Department, National Chung Hsing University, Taiwan","[Nat. Chung Hsing Univ., Taichung]"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, National Chung Hsing University, Taiwan","institution_ids":["https://openalex.org/I162838928"]},{"raw_affiliation_string":"[Nat. Chung Hsing Univ., Taichung]","institution_ids":["https://openalex.org/I162838928"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108083055","display_name":"Wu\u2010Chung Su","orcid":null},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wu-Chung Su","raw_affiliation_strings":["Electrical Engineering Department, National Chung Hsing University, Taiwan","[Nat. Chung Hsing Univ., Taichung]"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, National Chung Hsing University, Taiwan","institution_ids":["https://openalex.org/I162838928"]},{"raw_affiliation_string":"[Nat. Chung Hsing Univ., Taichung]","institution_ids":["https://openalex.org/I162838928"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091298480"],"corresponding_institution_ids":["https://openalex.org/I162838928"],"apc_list":null,"apc_paid":null,"fwci":2.6128,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91194681,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4173","last_page":"4178"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9959999918937683,"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/control-theory","display_name":"Control theory (sociology)","score":0.7247734665870667},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6446760892868042},{"id":"https://openalex.org/keywords/nyquist-plot","display_name":"Nyquist plot","score":0.637804388999939},{"id":"https://openalex.org/keywords/nyquist-stability-criterion","display_name":"Nyquist stability criterion","score":0.5747367143630981},{"id":"https://openalex.org/keywords/proportional-control","display_name":"Proportional control","score":0.5631649494171143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5614346265792847},{"id":"https://openalex.org/keywords/minimum-phase","display_name":"Minimum phase","score":0.5076144933700562},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4934646189212799},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.47897958755493164},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4629659652709961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4508122205734253},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4392436742782593},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.42012834548950195},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.41107577085494995},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.35575807094573975},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.35347527265548706},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2409687042236328},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20850124955177307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17861229181289673},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14685514569282532},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.10046243667602539}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7247734665870667},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6446760892868042},{"id":"https://openalex.org/C195762429","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist plot","level":5,"score":0.637804388999939},{"id":"https://openalex.org/C7630364","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist stability criterion","level":3,"score":0.5747367143630981},{"id":"https://openalex.org/C96224696","wikidata":"https://www.wikidata.org/wiki/Q2043486","display_name":"Proportional control","level":3,"score":0.5631649494171143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5614346265792847},{"id":"https://openalex.org/C170263048","wikidata":"https://www.wikidata.org/wiki/Q489593","display_name":"Minimum phase","level":3,"score":0.5076144933700562},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4934646189212799},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.47897958755493164},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4629659652709961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4508122205734253},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4392436742782593},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.42012834548950195},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.41107577085494995},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.35575807094573975},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.35347527265548706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2409687042236328},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20850124955177307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17861229181289673},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14685514569282532},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.10046243667602539},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C52859227","wikidata":"https://www.wikidata.org/wiki/Q7877","display_name":"Electrochemistry","level":3,"score":0.0},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C7040849","wikidata":"https://www.wikidata.org/wiki/Q899580","display_name":"Dielectric spectroscopy","level":4,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W584564087","https://openalex.org/W1503513842","https://openalex.org/W1513016807","https://openalex.org/W1538686203","https://openalex.org/W1974622101","https://openalex.org/W1977957182","https://openalex.org/W2006415239","https://openalex.org/W2012405076","https://openalex.org/W2028573862","https://openalex.org/W2037639916","https://openalex.org/W2050403787","https://openalex.org/W2052865744","https://openalex.org/W2072192541","https://openalex.org/W2086906338","https://openalex.org/W2091784913","https://openalex.org/W2102859468","https://openalex.org/W2129377254","https://openalex.org/W2141602435","https://openalex.org/W2154140920"],"related_works":["https://openalex.org/W2100446824","https://openalex.org/W2028352647","https://openalex.org/W1580703813","https://openalex.org/W2724644657","https://openalex.org/W2034217801","https://openalex.org/W2364721613","https://openalex.org/W1946827748","https://openalex.org/W2370888478","https://openalex.org/W3199656953","https://openalex.org/W2137960350"],"abstract_inverted_index":{"This":[0],"paper":[1,35],"presents":[2],"a":[3,74],"simple":[4,75],"proportional-plus-integral":[5],"(PI)":[6],"boundary":[7,31,79],"controller":[8,80],"for":[9,65],"an":[10,15],"unstable":[11,89],"parabolic":[12],"systems.":[13],"For":[14],"infinite-dimensional":[16],"system,":[17],"the":[18,36,54,59,69],"characteristics":[19],"of":[20,38,49],"minimum-phase":[21,70],"is":[22,42,72],"not":[23],"easily":[24],"observed":[25],"from":[26],"those":[27],"governing":[28],"equation":[29],"and":[30],"conditions.":[32],"In":[33],"this":[34],"method":[37],"infinite":[39],"product":[40],"expansion":[41],"firstly":[43],"employed":[44],"to":[45],"identify":[46],"exact":[47],"locations":[48],"system":[50,55],"zeros/poles.":[51],"Furthermore,":[52],"if":[53,85],"parameters":[56],"are":[57,87],"given,":[58],"Nyquist":[60],"plot":[61],"can":[62,81],"be":[63],"used":[64],"minimumphase":[66],"check.":[67],"Once":[68],"condition":[71],"satisfied,":[73],"PI":[76],"output":[77],"feedback":[78],"achieve":[82],"stabilizing":[83],"even":[84],"there":[86],"multiple":[88],"modes.":[90]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}