{"id":"https://openalex.org/W2939043396","doi":"https://doi.org/10.1155/2019/1067032","title":"Performance Output Tracking for a One\u2010Dimensional Wave\u2010Heat Cascade System with Unmatched Disturbance","display_name":"Performance Output Tracking for a One\u2010Dimensional Wave\u2010Heat Cascade System with Unmatched Disturbance","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2939043396","doi":"https://doi.org/10.1155/2019/1067032","mag":"2939043396"},"language":"en","primary_location":{"id":"doi:10.1155/2019/1067032","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/1067032","pdf_url":"http://downloads.hindawi.com/journals/complexity/2019/1067032.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/complexity/2019/1067032.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003875504","display_name":"Y.W. Liu","orcid":"https://orcid.org/0000-0002-2709-660X"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yulong Liu","raw_affiliation_strings":["School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, , China","School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, 030006"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, , China","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, 030006","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003875504"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.1685,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45755384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9775000214576721,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9764999747276306,"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/cascade","display_name":"Cascade","score":0.9325494766235352},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8447518944740295},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.6648395657539368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5662586092948914},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.5308046936988831},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.508752167224884},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.49654513597488403},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4892430305480957},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.46889084577560425},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.4585883319377899},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29893606901168823},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13810110092163086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12070819735527039},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06278631091117859}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.9325494766235352},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8447518944740295},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.6648395657539368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5662586092948914},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.5308046936988831},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.508752167224884},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.49654513597488403},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4892430305480957},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.46889084577560425},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.4585883319377899},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29893606901168823},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13810110092163086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12070819735527039},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06278631091117859},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/1067032","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/1067032","pdf_url":"http://downloads.hindawi.com/journals/complexity/2019/1067032.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:1067032","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/1067032.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:0ca58404331940eda72af73a2e7fa255","is_oa":true,"landing_page_url":"https://doaj.org/article/0ca58404331940eda72af73a2e7fa255","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/1067032","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/1067032","pdf_url":"http://downloads.hindawi.com/journals/complexity/2019/1067032.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3214160367","display_name":null,"funder_award_id":"No. 11","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4148190575","display_name":null,"funder_award_id":"11671240","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7775642159","display_name":null,"funder_award_id":"11801339","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2939043396.pdf","grobid_xml":"https://content.openalex.org/works/W2939043396.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1800168996","https://openalex.org/W1965099747","https://openalex.org/W2034923683","https://openalex.org/W2043812551","https://openalex.org/W2055290860","https://openalex.org/W2106223553","https://openalex.org/W2150469607","https://openalex.org/W2274186264","https://openalex.org/W2311784298","https://openalex.org/W2499641798","https://openalex.org/W2555691879","https://openalex.org/W2560060370","https://openalex.org/W2748682656","https://openalex.org/W2766410575","https://openalex.org/W2766696056","https://openalex.org/W2809211134","https://openalex.org/W2809274646","https://openalex.org/W2904013924","https://openalex.org/W3098965773"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W1566155057","https://openalex.org/W2060986072","https://openalex.org/W2052574922","https://openalex.org/W64588465","https://openalex.org/W2038604956","https://openalex.org/W3120641340","https://openalex.org/W2296560746","https://openalex.org/W2161688277"],"abstract_inverted_index":{"The":[0],"objective":[1],"of":[2],"this":[3],"paper":[4],"is":[5,32,38,58],"to":[6,77],"solve":[7],"the":[8,22,25,29,35,41,53,61,64,69,73],"performance":[9,54,65],"output":[10,55,66],"regulation":[11,56,74],"problem":[12,57],"for":[13,28,86],"a":[14],"wave\u2010heat":[15],"cascade":[16,30],"system":[17,31],"with":[18],"unmatched":[19,36],"disturbance.":[20],"Applying":[21],"series":[23],"expansion,":[24],"auxiliary":[26],"trajectory":[27],"constructed":[33],"and":[34,43,52,72],"disturbance":[37],"rejected.":[39],"Meanwhile,":[40],"controller":[42],"observer":[44],"only":[45],"based":[46],"on":[47],"error":[48,75],"signal":[49],"are":[50,84],"designed,":[51],"solved.":[59],"Under":[60],"control":[62],"feedback,":[63],"can":[67],"track":[68],"reference":[70],"signal,":[71],"goes":[76],"zero":[78],"asymptotically.":[79],"Finally,":[80],"some":[81],"numerical":[82],"simulations":[83],"presented":[85],"illustration.":[87]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}