{"id":"https://openalex.org/W2109849220","doi":"https://doi.org/10.1109/cdc.2010.5717373","title":"Non-smooth Lyapunov function-based global stabilization for 2-dimensional quantum filters","display_name":"Non-smooth Lyapunov function-based global stabilization for 2-dimensional quantum filters","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2109849220","doi":"https://doi.org/10.1109/cdc.2010.5717373","mag":"2109849220"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717373","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717373","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":"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/A5008501506","display_name":"Shuzhi Sam Ge","orcid":"https://orcid.org/0000-0001-5549-312X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Shuzhi Sam Ge","raw_affiliation_strings":["Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018035609","display_name":"Thanh-Long Vu","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Thanh-Long Vu","raw_affiliation_strings":["Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022113595","display_name":"Wei He","orcid":"https://orcid.org/0000-0002-8944-9861"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Wei He","raw_affiliation_strings":["Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084891738","display_name":"Chang Chieh Hang","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chang Chieh Hang","raw_affiliation_strings":["Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"NUS Graduate School for Integrative Sciences and Engineering and the Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008501506"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":0.451,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73920644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3772","last_page":"3777"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7822319269180298},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.7665081024169922},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.700935959815979},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.6230835318565369},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.6003990769386292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5950778126716614},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5607016086578369},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5095434784889221},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4942331612110138},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4608989953994751},{"id":"https://openalex.org/keywords/lyapunov-optimization","display_name":"Lyapunov optimization","score":0.4416368007659912},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38266468048095703},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.32185599207878113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25104010105133057},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09480106830596924},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08114627003669739}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7822319269180298},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.7665081024169922},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.700935959815979},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.6230835318565369},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.6003990769386292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5950778126716614},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5607016086578369},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5095434784889221},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4942331612110138},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4608989953994751},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.4416368007659912},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38266468048095703},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.32185599207878113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25104010105133057},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09480106830596924},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08114627003669739},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2010.5717373","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717373","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"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/71168","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/71168","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Conference Paper"}],"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/W1489872560","https://openalex.org/W1549516855","https://openalex.org/W1579485993","https://openalex.org/W1631356911","https://openalex.org/W1986168529","https://openalex.org/W2014063759","https://openalex.org/W2053630843","https://openalex.org/W2109849220","https://openalex.org/W2130511475","https://openalex.org/W2134634413","https://openalex.org/W2153392494","https://openalex.org/W2764347725","https://openalex.org/W2963237133","https://openalex.org/W3102204710","https://openalex.org/W4235816940","https://openalex.org/W6632898789"],"related_works":["https://openalex.org/W3217133416","https://openalex.org/W2383986032","https://openalex.org/W2349796700","https://openalex.org/W2534107666","https://openalex.org/W2496188264","https://openalex.org/W3194517843","https://openalex.org/W1970635650","https://openalex.org/W2126112326","https://openalex.org/W2588600327","https://openalex.org/W2210722882"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,17,24,37,43,74,90,104,116,120,129,135,139],"global":[4,38],"stabilization":[5],"problem":[6],"for":[7,42,53,69,85,138],"2-dimensional":[8,86],"quantum":[9,87],"filters":[10,88],"via":[11,28],"non-smooth":[12,75,96],"Lyapunov":[13,30],"functions.":[14],"Due":[15],"to":[16,35,101,112,119],"symmetric":[18,105],"topology":[19,106],"of":[20,92,107,128],"filter":[21,108,117],"state":[22,109,118,123],"space,":[23],"smooth":[25,29,50],"controls":[26,100,131],"synthesized":[27],"stochastic":[31,55],"stability":[32,70],"theory":[33,52],"fail":[34],"obtain":[36],"stabilizability.":[39],"As":[40],"such,":[41],"first":[44],"time,":[45],"we":[46],"introduce":[47],"a":[48,60,65],"non-":[49],"Lyapunov-like":[51,62,67,76],"generic":[54],"nonlinear":[56],"systems,":[57],"which":[58],"includes":[59],"continuous":[61],"theorem":[63,68],"and":[64,80,111,146],"discontinuous":[66],"in":[71],"probability.":[72],"Applying":[73],"theory,":[77],"switching":[78],"control":[79,82,136],"saturation-form":[81],"are":[83,144],"constructed":[84],"with":[89,103],"consideration":[91],"sliding":[93],"motion.":[94],"The":[95,126],"property":[97],"enables":[98],"these":[99],"deal":[102],"space":[110],"globally":[113],"asymptotically":[114],"render":[115],"final":[121],"desired":[122],"almost":[124],"surely.":[125],"effectiveness":[127],"proposed":[130],"is":[132],"illustrated":[133],"through":[134],"design":[137],"Spin-1/2":[140],"system.":[141],"Simulation":[142],"results":[143],"presented":[145],"discussed.":[147]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}