{"id":"https://openalex.org/W3086925475","doi":"https://doi.org/10.1007/s11424-020-9294-6","title":"Stabilization with Arbitrary Convergence Rate for the Schr\u00f6dinger Equation Subjected to an Input Time Delay","display_name":"Stabilization with Arbitrary Convergence Rate for the Schr\u00f6dinger Equation Subjected to an Input Time Delay","publication_year":2020,"publication_date":"2020-09-09","ids":{"openalex":"https://openalex.org/W3086925475","doi":"https://doi.org/10.1007/s11424-020-9294-6","mag":"3086925475"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-020-9294-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-020-9294-6","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","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/A5100428140","display_name":"Yanfang Li","orcid":"https://orcid.org/0009-0007-8953-7574"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]},{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanfang Li","raw_affiliation_strings":["College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, China","School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100353640","display_name":"Hao Chen","orcid":"https://orcid.org/0000-0003-1777-3459"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]},{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Chen","raw_affiliation_strings":["College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, China","School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101940252","display_name":"Yaru Xie","orcid":"https://orcid.org/0000-0003-3435-4563"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]},{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yaru Xie","raw_affiliation_strings":["College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, China","School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Department of Mathematics, Civil Aviation University of China, Tianjin, 300300, China","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100353640","https://openalex.org/A5100428140","https://openalex.org/A5101940252"],"corresponding_institution_ids":["https://openalex.org/I125839683","https://openalex.org/I28813325","https://openalex.org/I75955062"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.3539,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57116066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"34","issue":"3","first_page":"975","last_page":"994"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9979000091552734,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9937000274658203,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.6609470844268799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5739295482635498},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5654906630516052},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5412887930870056},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5215739607810974},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5212067365646362},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5190744996070862},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48862844705581665},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44981175661087036},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.41293537616729736},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35825616121292114},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.34259581565856934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21418198943138123},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1804783046245575},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13343164324760437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08030080795288086}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6609470844268799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5739295482635498},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5654906630516052},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5412887930870056},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5215739607810974},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5212067365646362},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5190744996070862},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48862844705581665},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44981175661087036},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41293537616729736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35825616121292114},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.34259581565856934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21418198943138123},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1804783046245575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13343164324760437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08030080795288086},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"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:10.1007/s11424-020-9294-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-020-9294-6","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W21379611","https://openalex.org/W564609686","https://openalex.org/W1487432464","https://openalex.org/W1963762944","https://openalex.org/W1970943430","https://openalex.org/W1974458907","https://openalex.org/W1976470031","https://openalex.org/W1981186091","https://openalex.org/W1981592473","https://openalex.org/W1988098342","https://openalex.org/W1988820221","https://openalex.org/W1990138564","https://openalex.org/W1990834167","https://openalex.org/W2001173127","https://openalex.org/W2016517222","https://openalex.org/W2021731075","https://openalex.org/W2030742233","https://openalex.org/W2034895882","https://openalex.org/W2050539569","https://openalex.org/W2062835423","https://openalex.org/W2064265897","https://openalex.org/W2085175791","https://openalex.org/W2089260565","https://openalex.org/W2090759317","https://openalex.org/W2116621195","https://openalex.org/W2126222195","https://openalex.org/W2134114731","https://openalex.org/W2135659811","https://openalex.org/W2137810725","https://openalex.org/W2146946451","https://openalex.org/W2155590197","https://openalex.org/W2157950816","https://openalex.org/W2216999478","https://openalex.org/W2341221176","https://openalex.org/W2525143841"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2142048021","https://openalex.org/W2756324413","https://openalex.org/W2383529437","https://openalex.org/W2134075948","https://openalex.org/W1790223069","https://openalex.org/W1517908938","https://openalex.org/W2081245100","https://openalex.org/W4287830728","https://openalex.org/W1973113296"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
