{"id":"https://openalex.org/W3154972698","doi":"https://doi.org/10.1109/tac.2021.3073061","title":"Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems","display_name":"Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems","publication_year":2021,"publication_date":"2021-04-13","ids":{"openalex":"https://openalex.org/W3154972698","doi":"https://doi.org/10.1109/tac.2021.3073061","mag":"3154972698"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3073061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3073061","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5072052382","display_name":"Artur Babiarz","orcid":"https://orcid.org/0000-0002-7841-7151"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Artur Babiarz","raw_affiliation_strings":["Silesian University of Technology, Gliwice, Poland"],"raw_orcid":"https://orcid.org/0000-0002-7841-7151","affiliations":[{"raw_affiliation_string":"Silesian University of Technology, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021200756","display_name":"L\u00ea Vi\u1ec7t C\u01b0\u1eddng","orcid":"https://orcid.org/0000-0002-8693-3623"},"institutions":[{"id":"https://openalex.org/I257903683","display_name":"Hanoi University of Civil Engineering","ror":"https://ror.org/01351mb48","country_code":"VN","type":"education","lineage":["https://openalex.org/I257903683"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Le Viet Cuong","raw_affiliation_strings":["National University of Civil Engineering, Ha Noi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-8693-3623","affiliations":[{"raw_affiliation_string":"National University of Civil Engineering, Ha Noi, Vietnam","institution_ids":["https://openalex.org/I257903683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045380210","display_name":"Adam Czornik","orcid":"https://orcid.org/0000-0003-2492-4155"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Adam Czornik","raw_affiliation_strings":["Silesian University of Technology, Gliwice, Poland"],"raw_orcid":"https://orcid.org/0000-0003-2492-4155","affiliations":[{"raw_affiliation_string":"Silesian University of Technology, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089645930","display_name":"Thai Son Doan","orcid":"https://orcid.org/0000-0002-9871-740X"},"institutions":[{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]},{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Thai Son Doan","raw_affiliation_strings":["Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam"],"raw_orcid":"https://orcid.org/0000-0002-9871-740X","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7592,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67263832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"67","issue":"4","first_page":"2039","last_page":"2043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9937999844551086,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9937999844551086,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9891999959945679,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/controllability","display_name":"Controllability","score":0.9395194053649902},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.7622888088226318},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7438598275184631},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6809722781181335},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6344605684280396},{"id":"https://openalex.org/keywords/linear-control-systems","display_name":"Linear control systems","score":0.5177156925201416},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4916413426399231},{"id":"https://openalex.org/keywords/controllability-gramian","display_name":"Controllability Gramian","score":0.43736347556114197},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41330787539482117},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21997225284576416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2001236379146576},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14734899997711182}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9395194053649902},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.7622888088226318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7438598275184631},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6809722781181335},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6344605684280396},{"id":"https://openalex.org/C2987686001","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Linear control systems","level":3,"score":0.5177156925201416},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4916413426399231},{"id":"https://openalex.org/C143461762","wikidata":"https://www.wikidata.org/wiki/Q83587","display_name":"Controllability Gramian","level":3,"score":0.43736347556114197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41330787539482117},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21997225284576416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2001236379146576},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14734899997711182},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3073061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3073061","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1799177580","display_name":null,"funder_award_id":"ICRTM02-2020.04","funder_id":"https://openalex.org/F4320313223","funder_display_name":"Vietnam Academy of Science and Technology"},{"id":"https://openalex.org/G1945520205","display_name":null,"funder_award_id":"PPN/BEK/2020/1/00188/UO/00001","funder_id":"https://openalex.org/F4320328499","funder_display_name":"Narodowa Agencja Wymiany Akademickiej"},{"id":"https://openalex.org/G3168131116","display_name":null,"funder_award_id":"DEC-2017/25/B/ST7/02888","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"},{"id":"https://openalex.org/G412829772","display_name":null,"funder_award_id":"QTRU01.08/20-21","funder_id":"https://openalex.org/F4320313223","funder_display_name":"Vietnam Academy of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320313223","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50"},{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320328499","display_name":"Narodowa Agencja Wymiany Akademickiej","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W91588129","https://openalex.org/W140427009","https://openalex.org/W379240221","https://openalex.org/W1278605765","https://openalex.org/W1484739396","https://openalex.org/W1533288419","https://openalex.org/W1560060148","https://openalex.org/W1975313850","https://openalex.org/W1999733981","https://openalex.org/W2002588595","https://openalex.org/W2050205542","https://openalex.org/W2090946621","https://openalex.org/W2109273274","https://openalex.org/W2134599236","https://openalex.org/W2499454078","https://openalex.org/W2556522540","https://openalex.org/W2588104716","https://openalex.org/W2594314365","https://openalex.org/W2795608339","https://openalex.org/W2879955431","https://openalex.org/W2939593329","https://openalex.org/W3002980919","https://openalex.org/W3035578948","https://openalex.org/W4388423556","https://openalex.org/W6780383567"],"related_works":["https://openalex.org/W3209184047","https://openalex.org/W99421934","https://openalex.org/W1999673819","https://openalex.org/W4237454804","https://openalex.org/W1942635442","https://openalex.org/W1990421243","https://openalex.org/W1990723703","https://openalex.org/W2009912023","https://openalex.org/W2054831413","https://openalex.org/W1979015355"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2],"version":[3],"of":[4,29,32],"the":[5,33],"pole":[6],"placement":[7],"problem":[8],"for":[9],"one-sided":[10],"linear":[11,14],"discrete":[12],"time-varying":[13],"systems.":[15],"Our":[16],"purpose":[17],"is":[18,25],"to":[19,27],"prove":[20],"that":[21],"uniform":[22],"complete":[23],"controllability":[24],"equivalent":[26],"possibility":[28],"arbitrary":[30],"assignment":[31],"dichotomy":[34],"spectrum.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}