{"id":"https://openalex.org/W4311300445","doi":"https://doi.org/10.1145/3565387.3565393","title":"Exponential Stabilization of a Heat-ODE System Cascaded at Two Intermediate Points","display_name":"Exponential Stabilization of a Heat-ODE System Cascaded at Two Intermediate Points","publication_year":2022,"publication_date":"2022-10-21","ids":{"openalex":"https://openalex.org/W4311300445","doi":"https://doi.org/10.1145/3565387.3565393"},"language":"en","primary_location":{"id":"doi:10.1145/3565387.3565393","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3565387.3565393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 6th International Conference on Computer Science and Application Engineering","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/A5102732313","display_name":"Qin Wang","orcid":null},"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":true,"raw_author_name":"Qin Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, China"],"raw_orcid":"https://orcid.org/0000-0003-1132-8389","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027566525","display_name":"Zhongcheng Zhou","orcid":"https://orcid.org/0000-0002-5183-6612"},"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":"Zhongcheng Zhou","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, China"],"raw_orcid":"https://orcid.org/0000-0002-5183-6612","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102732313"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14105146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9545000195503235,"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":0.9711811542510986},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8359755277633667},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8196377754211426},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7438805103302002},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6903181076049805},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.571186900138855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5301550030708313},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5074741244316101},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.48427385091781616},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.43689465522766113},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.42944642901420593},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3952160179615021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2745361328125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20813429355621338},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16453245282173157},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.13458174467086792},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10306558012962341},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06482461094856262},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.059025317430496216}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9711811542510986},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8359755277633667},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8196377754211426},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7438805103302002},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6903181076049805},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.571186900138855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5301550030708313},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5074741244316101},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.48427385091781616},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.43689465522766113},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.42944642901420593},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3952160179615021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2745361328125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20813429355621338},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16453245282173157},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.13458174467086792},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10306558012962341},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06482461094856262},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.059025317430496216},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3565387.3565393","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3565387.3565393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 6th International Conference on Computer Science and Application Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1972806290","https://openalex.org/W2052849686","https://openalex.org/W2106223553","https://openalex.org/W2157740633","https://openalex.org/W2174675894","https://openalex.org/W2590632622","https://openalex.org/W2601473904","https://openalex.org/W2610818604","https://openalex.org/W2612716718","https://openalex.org/W2999962786","https://openalex.org/W3045828772","https://openalex.org/W3049208937","https://openalex.org/W3193400164"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2164760767","https://openalex.org/W3206152082","https://openalex.org/W3117035304"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,41,48,54,58,65,71,79,82,86,90],"exponential":[4,55],"stability":[5,56,66],"of":[6,43,57,67,73,93],"a":[7,27,33],"heat-ODE":[8],"system":[9,60,69],"cascaded":[10],"at":[11],"two":[12],"intermediate":[13],"points.":[14],"A":[15],"new":[16],"backstepping":[17,29,74],"transformation":[18,30],"with":[19],"three":[20],"kernels":[21],"is":[22,61],"introduced.":[23],"Firstly,":[24],"by":[25],"adopting":[26],"reversible":[28],"to":[31],"design":[32],"stabilizing":[34],"feedback":[35],"control":[36],"law,":[37],"we":[38,77],"prove":[39],"that":[40],"existence":[42],"smooth":[44],"kernel":[45],"functions":[46],"in":[47],"forward":[49],"and":[50,70,89],"inverse":[51],"transformations.":[52],"Then,":[53],"closed-loop":[59],"proved":[62],"based":[63],"on":[64],"target":[68],"invertibility":[72],"transformation.":[75],"Finally,":[76],"verify":[78],"compatibility":[80],"between":[81],"known":[83],"assumption":[84,92],"for":[85],"special":[87],"case":[88],"controllability":[91],"this":[94],"paper.":[95]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}