{"id":"https://openalex.org/W4391248492","doi":"https://doi.org/10.1109/tcsi.2024.3354370","title":"Stabilization and Synchronization Control of Multi Coupled Hyperbolic-Parabolic Partial Differential Systems Based on Backstepping Method","display_name":"Stabilization and Synchronization Control of Multi Coupled Hyperbolic-Parabolic Partial Differential Systems Based on Backstepping Method","publication_year":2024,"publication_date":"2024-01-26","ids":{"openalex":"https://openalex.org/W4391248492","doi":"https://doi.org/10.1109/tcsi.2024.3354370"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2024.3354370","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2024.3354370","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5100361025","display_name":"Li Li","orcid":"https://orcid.org/0000-0001-7566-626X"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Li","raw_affiliation_strings":["College of Electrical and Control Engineering and the College of Mechanical Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0001-7566-626X","affiliations":[{"raw_affiliation_string":"College of Electrical and Control Engineering and the College of Mechanical Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I110440473"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059257966","display_name":"Xudong Chen","orcid":"https://orcid.org/0009-0000-2165-9945"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xudong Chen","raw_affiliation_strings":["College of Electrical and Control Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0009-0000-2165-9945","affiliations":[{"raw_affiliation_string":"College of Electrical and Control Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I110440473"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113551462","display_name":"Jing Liang","orcid":"https://orcid.org/0009-0003-6395-133X"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Liang","raw_affiliation_strings":["College of Electrical and Control Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Control Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I110440473"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033310298","display_name":"Hongguang Pan","orcid":"https://orcid.org/0000-0002-0390-6188"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongguang Pan","raw_affiliation_strings":["College of Electrical and Control Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-0390-6188","affiliations":[{"raw_affiliation_string":"College of Electrical and Control Engineering, Xi&#x2019;an Key Laboratory of Electrical Equipment Condition Monitoring and Power Supply Security, Xi&#x2019;an University of Science and Technology, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I110440473"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100361025"],"corresponding_institution_ids":["https://openalex.org/I110440473"],"apc_list":null,"apc_paid":null,"fwci":0.3155,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49927007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"71","issue":"4","first_page":"1876","last_page":"1888"},"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":0.970300018787384,"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":0.970300018787384,"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/backstepping","display_name":"Backstepping","score":0.9475612640380859},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6736727952957153},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.6318321228027344},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5501391291618347},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5130659341812134},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.48456302285194397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44993168115615845},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4264167547225952},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3985511362552643},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3915872573852539},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3601195514202118},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30170732736587524},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2025333046913147},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.16979849338531494},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1573113203048706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07159709930419922}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9475612640380859},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6736727952957153},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.6318321228027344},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5501391291618347},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5130659341812134},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.48456302285194397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44993168115615845},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4264167547225952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3985511362552643},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3915872573852539},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3601195514202118},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30170732736587524},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2025333046913147},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.16979849338531494},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1573113203048706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07159709930419922},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2024.3354370","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2024.3354370","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4000000059604645,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4836175120","display_name":null,"funder_award_id":"23JK0550","funder_id":"https://openalex.org/F4320325627","funder_display_name":"Education Department of Shaanxi Province"},{"id":"https://openalex.org/G8027957524","display_name":null,"funder_award_id":"61603295","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"},{"id":"https://openalex.org/F4320325627","display_name":"Education Department of Shaanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W15693876","https://openalex.org/W1966249877","https://openalex.org/W2012162629","https://openalex.org/W2019091709","https://openalex.org/W2057156735","https://openalex.org/W2075930670","https://openalex.org/W2086736336","https://openalex.org/W2087629693","https://openalex.org/W2098806165","https://openalex.org/W2117362627","https://openalex.org/W2119967247","https://openalex.org/W2134114731","https://openalex.org/W2149303950","https://openalex.org/W2200573845","https://openalex.org/W2394742642","https://openalex.org/W2464672383","https://openalex.org/W2499641798","https://openalex.org/W2532548634","https://openalex.org/W2533511582","https://openalex.org/W2781393074","https://openalex.org/W2784198823","https://openalex.org/W2797623254","https://openalex.org/W2808427842","https://openalex.org/W2924328457","https://openalex.org/W2953134377","https://openalex.org/W2963411237","https://openalex.org/W2963591151","https://openalex.org/W2971260411","https://openalex.org/W2978078529","https://openalex.org/W2978231659","https://openalex.org/W3045855575","https://openalex.org/W3086558348","https://openalex.org/W3109484491","https://openalex.org/W3111539295","https://openalex.org/W3124588844","https://openalex.org/W3131416450","https://openalex.org/W3146711799","https://openalex.org/W3181786550","https://openalex.org/W3194167771","https://openalex.org/W3202238518","https://openalex.org/W3213905393","https://openalex.org/W4206918397","https://openalex.org/W4361029827","https://openalex.org/W4378895577"],"related_works":["https://openalex.org/W2123186262","https://openalex.org/W2099991058","https://openalex.org/W2373567731","https://openalex.org/W3184942582","https://openalex.org/W2073114664","https://openalex.org/W4390946918","https://openalex.org/W582322176","https://openalex.org/W2066764747","https://openalex.org/W2969693569","https://openalex.org/W1589056410"],"abstract_inverted_index":{"Currently,":[0],"scholars":[1],"typically":[2],"investigate":[3],"the":[4,51,55,64,68,83,97,103,107,118,131,138,144,161,164],"dynamics":[5],"of":[6,54,71,96,106,112,137,143,163],"two":[7,154],"coupled":[8,26,42,78,151],"partial":[9,27,44],"differential":[10,28,45],"systems.":[11],"However,":[12],"in":[13,82],"practical":[14],"engineering":[15],"applications,":[16],"there":[17],"are":[18,157],"often":[19],"<inline-formula":[20,36,72,84,145],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21,37,73,85,146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[22,38,74,86,147],"<tex-math":[23,39,75,87,148],"notation=\"LaTeX\">$N$":[24,40,76,149],"</tex-math></inline-formula>":[25,41,77,91,150],"systems":[29,46],"involved.":[30],"In":[31],"this":[32],"paper,":[33],"a":[34,125],"novel":[35],"hyperbolic-parabolic":[43],"(HPPDS)":[47],"is":[48,58,80,100,115,122,128],"introduced.":[49],"Firstly,":[50],"stabilization":[52],"problem":[53,70,95,105],"isolated":[56],"HPPDS":[57,79],"addressed":[59],"using":[60,130],"Lyapunov":[61],"functions":[62],"and":[63,117],"backstepping":[65,132],"method.":[66],"Secondly,":[67],"synchronization":[69,94,113,119,142],"considered":[81],"notation=\"LaTeX\">${L^{2}}":[88],"\\times":[89],"{H^{1}}$":[90],"sense.":[92],"The":[93,110],"target":[98],"system":[99,121],"transformed":[101],"into":[102],"stability":[104,136],"decoupled":[108],"system.":[109],"definition":[111],"error":[114,120,139],"provided,":[116],"derived.":[123],"Subsequently,":[124],"boundary":[126],"controller":[127],"designed":[129],"method":[133],"to":[134,159],"achieve":[135],"system,":[140],"i.e.,":[141],"HPPDS.":[152],"Finally,":[153],"simulation":[155],"examples":[156],"presented":[158],"demonstrate":[160],"validity":[162],"obtained":[165],"results.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
