{"id":"https://openalex.org/W2527609528","doi":"https://doi.org/10.1109/mmar.2016.7575221","title":"On assignability of Lyapunov spectrum of discrete linear time-varying system with control","display_name":"On assignability of Lyapunov spectrum of discrete linear time-varying system with control","publication_year":2016,"publication_date":"2016-08-01","ids":{"openalex":"https://openalex.org/W2527609528","doi":"https://doi.org/10.1109/mmar.2016.7575221","mag":"2527609528"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2016.7575221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2016.7575221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR)","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/A5072052382","display_name":"Artur Babiarz","orcid":"https://orcid.org/0000-0002-7841-7151"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Artur Babiarz","raw_affiliation_strings":["Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Gliwice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Gliwice, Poland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057574989","display_name":"I.N. Banshchikova","orcid":"https://orcid.org/0000-0002-6687-5008"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irina Banshchikova","raw_affiliation_strings":["Department of Differential Equations, Universitetskaya 1, Izhevsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Differential Equations, Universitetskaya 1, Izhevsk, Russia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045380210","display_name":"Adam Czornik","orcid":"https://orcid.org/0000-0003-2492-4155"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adam Czornik","raw_affiliation_strings":["Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Gliwice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Gliwice, Poland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081772361","display_name":"\u0415. \u041a. \u041c\u0430\u043a\u0430\u0440\u043e\u0432","orcid":"https://orcid.org/0000-0001-7058-2702"},"institutions":[{"id":"https://openalex.org/I151823869","display_name":"National Academy of Sciences of Belarus","ror":"https://ror.org/02j8pe645","country_code":"BY","type":"government","lineage":["https://openalex.org/I151823869"]},{"id":"https://openalex.org/I4210105280","display_name":"Institute of Mathematics","ror":"https://ror.org/00vsg3p53","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105280","https://openalex.org/I4210116091"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Evgenil Makarov","raw_affiliation_strings":["National Academy of Sciences of Belarus, Institute of Mathematics, Minsk, Belarus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Academy of Sciences of Belarus, Institute of Mathematics, Minsk, Belarus","institution_ids":["https://openalex.org/I151823869","https://openalex.org/I4210105280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030209155","display_name":"Micha\u0142 Niezabitowski","orcid":"https://orcid.org/0000-0003-4553-5351"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michal Niezabitowski","raw_affiliation_strings":["Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Gliwice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Gliwice, Poland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064430943","display_name":"Svetlana Popova","orcid":"https://orcid.org/0000-0001-5501-474X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Svetlana Popova","raw_affiliation_strings":["Department of Differential Equations, Universitetskaya 1, Izhevsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Differential Equations, Universitetskaya 1, Izhevsk, Russia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"697","last_page":"701"},"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":0.9922999739646912,"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":0.9922999739646912,"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":0.9807000160217285,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9789999723434448,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6659383773803711},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6618456244468689},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.605186939239502},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5823648571968079},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5626471042633057},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5489993691444397},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5454862117767334},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.47997069358825684},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.42988696694374084},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4218499958515167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2660446763038635},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23977187275886536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.055122435092926025},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.053756535053253174}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6659383773803711},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6618456244468689},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.605186939239502},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5823648571968079},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5626471042633057},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5489993691444397},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5454862117767334},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.47997069358825684},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.42988696694374084},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4218499958515167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2660446763038635},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23977187275886536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.055122435092926025},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.053756535053253174},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/mmar.2016.7575221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2016.7575221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W221264605","https://openalex.org/W622271205","https://openalex.org/W1512099607","https://openalex.org/W1535516791","https://openalex.org/W1557395224","https://openalex.org/W1586792688","https://openalex.org/W1964609743","https://openalex.org/W1969927463","https://openalex.org/W1977683129","https://openalex.org/W1978872765","https://openalex.org/W1983131217","https://openalex.org/W1986822288","https://openalex.org/W2001073838","https://openalex.org/W2006734207","https://openalex.org/W2023962497","https://openalex.org/W2035761438","https://openalex.org/W2037006609","https://openalex.org/W2039403689","https://openalex.org/W2040191855","https://openalex.org/W2050205542","https://openalex.org/W2055931945","https://openalex.org/W2065609194","https://openalex.org/W2066163173","https://openalex.org/W2078462225","https://openalex.org/W2083951734","https://openalex.org/W2109273274","https://openalex.org/W2134599236","https://openalex.org/W2144642196","https://openalex.org/W2287793486","https://openalex.org/W2335097298","https://openalex.org/W2417507919","https://openalex.org/W2418929165","https://openalex.org/W2485222009","https://openalex.org/W3140344118","https://openalex.org/W4205322344","https://openalex.org/W6634855916","https://openalex.org/W6664516448","https://openalex.org/W6681942423","https://openalex.org/W6716309590","https://openalex.org/W6717126975","https://openalex.org/W6722182897"],"related_works":["https://openalex.org/W1990502710","https://openalex.org/W2053005959","https://openalex.org/W2159479095","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W1716629940","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W2105658174"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,17],"study":[4],"discrete":[5,35],"linear":[6,36],"time-varying":[7,37],"system":[8,38],"with":[9,39],"control":[10],"and":[11,25],"bounded":[12],"coefficients.":[13],"For":[14],"such":[15],"systems":[16],"consider":[18],"problems":[19],"of":[20,29,33,45,56,68],"the":[21,30,34,46,54],"proportional":[22,26],"global":[23],"assignability":[24,28],"local":[27],"Lyapunov":[31],"spectrum":[32],"control.":[40],"This":[41],"is":[42,51],"a":[43],"generalization":[44],"pole":[47],"placement":[48],"theorem,":[49],"which":[50],"well-known":[52],"in":[53],"theory":[55],"time-invariant":[57],"system.":[58],"The":[59],"main":[60],"results":[61],"present":[62],"sufficient":[63],"conditions":[64],"for":[65],"considered":[66],"types":[67],"assignability.":[69]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}