{"id":"https://openalex.org/W2119423238","doi":"https://doi.org/10.1109/cdc.2010.5718141","title":"Stabilization of a coupled PDE-ODE system by boundary control","display_name":"Stabilization of a coupled PDE-ODE system by boundary control","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2119423238","doi":"https://doi.org/10.1109/cdc.2010.5718141","mag":"2119423238"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5718141","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718141","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5007382527","display_name":"Shu\u2010Xia Tang","orcid":"https://orcid.org/0000-0003-4923-592X"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuxia Tang","raw_affiliation_strings":["School of Mathematics and System Science, Southwest University, Chongqing, China","School of Mathematics and System Science Southwest University Chongqing 400715 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Science, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"School of Mathematics and System Science Southwest University Chongqing 400715 China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100720664","display_name":"Chengkang Xie","orcid":"https://orcid.org/0000-0002-6068-1675"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengkang Xie","raw_affiliation_strings":["School of Mathematics and System Science, Southwest University, Chongqing, China","School of Mathematics and System Science Southwest University Chongqing 400715 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Science, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"School of Mathematics and System Science Southwest University Chongqing 400715 China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":3.0523,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.91924637,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4042","last_page":"4047"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.919431209564209},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.8983575105667114},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7345394492149353},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.604742705821991},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5621405839920044},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5296594500541687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5235561728477478},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4901900887489319},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4690314531326294},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.45119425654411316},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.4188399016857147},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3292935788631439},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3188321888446808},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27350977063179016},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14307284355163574},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.11116328835487366},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09332114458084106},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07659938931465149}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.919431209564209},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8983575105667114},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7345394492149353},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.604742705821991},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5621405839920044},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5296594500541687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5235561728477478},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4901900887489319},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4690314531326294},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45119425654411316},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.4188399016857147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3292935788631439},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3188321888446808},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27350977063179016},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14307284355163574},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.11116328835487366},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09332114458084106},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07659938931465149},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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:10.1109/cdc.2010.5718141","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718141","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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":16,"referenced_works":["https://openalex.org/W26818876","https://openalex.org/W564609686","https://openalex.org/W1989593999","https://openalex.org/W2032938436","https://openalex.org/W2035030115","https://openalex.org/W2043812551","https://openalex.org/W2052849686","https://openalex.org/W2055305675","https://openalex.org/W2078658255","https://openalex.org/W2082293233","https://openalex.org/W2087203848","https://openalex.org/W2121855948","https://openalex.org/W2151435858","https://openalex.org/W2178205091","https://openalex.org/W2510316249","https://openalex.org/W4299621070"],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2132535444","https://openalex.org/W2534185822","https://openalex.org/W3206152082","https://openalex.org/W3202868696","https://openalex.org/W2515920492","https://openalex.org/W2896104052"],"abstract_inverted_index":{"A":[0],"coupled":[1,77],"system":[2,33,93],"of":[3,22,90],"an":[4,35,48,67],"ODE":[5],"and":[6,55,83],"a":[7,40,75],"diffusion":[8],"PDE":[9,23],"is":[10,45,53,59,72],"considered":[11],"in":[12],"this":[13],"paper.":[14],"Special":[15],"techniques":[16],"as":[17,19,85,87],"well":[18,86],"the":[20,32,56,80,88,91],"method":[21],"backstepping":[24],"are":[25,94],"employed":[26],"to":[27,61,64],"construct":[28],"controllers.":[29],"Through":[30],"transforming":[31],"into":[34],"exponentially":[36,62],"stable":[37],"PDE-ODE":[38,78],"cascade,":[39],"state":[41],"feedback":[42,69],"boundary":[43,70,81],"controller":[44,71,82],"established.":[46],"Moreover,":[47],"observer":[49,57],"for":[50],"anti-collocated":[51],"setup":[52],"proposed,":[54],"error":[58],"shown":[60],"converge":[63],"zero,":[65],"then":[66],"output":[68],"obtained.":[73],"For":[74],"scalar":[76],"system,":[79],"observer,":[84],"solution":[89],"closed-loop":[92],"given":[95],"explicitly.":[96]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
