{"id":"https://openalex.org/W2766654512","doi":"https://doi.org/10.1109/nds.2017.8070639","title":"Stability theory for a class of linear nonnegative multidimensional discrete systems","display_name":"Stability theory for a class of linear nonnegative multidimensional discrete systems","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2766654512","doi":"https://doi.org/10.1109/nds.2017.8070639","mag":"2766654512"},"language":"en","primary_location":{"id":"doi:10.1109/nds.2017.8070639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2017.8070639","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 10th International Workshop on Multidimensional (nD) Systems (nDS)","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/A5071282389","display_name":"\u0418. \u0412. \u0413\u0430\u0439\u0448\u0443\u043d","orcid":null},"institutions":[{"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":"Ivan Gaishun","raw_affiliation_strings":["Academy of Sciences of Belarus, Institute of Mathematics, Minks, Belarus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Sciences of Belarus, Institute of Mathematics, Minks, Belarus","institution_ids":["https://openalex.org/I4210105280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063248929","display_name":"M. Dymkov","orcid":"https://orcid.org/0000-0002-3467-2169"},"institutions":[{"id":"https://openalex.org/I4210106621","display_name":"Belarusian State Economic University","ror":"https://ror.org/01fkzt617","country_code":"BY","type":"education","lineage":["https://openalex.org/I4210106621"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Michael Dymkov","raw_affiliation_strings":["Department of Higher Mathematics, Belarus State Economic University, Minks, Belarus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Higher Mathematics, Belarus State Economic University, Minks, Belarus","institution_ids":["https://openalex.org/I4210106621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011731697","display_name":"A. I. Astrovskii","orcid":"https://orcid.org/0000-0001-5761-4415"},"institutions":[{"id":"https://openalex.org/I4210106621","display_name":"Belarusian State Economic University","ror":"https://ror.org/01fkzt617","country_code":"BY","type":"education","lineage":["https://openalex.org/I4210106621"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Anatoly Astrovskii","raw_affiliation_strings":["Department of Higher Mathematics, Belarus State Economic University, Minks, Belarus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Higher Mathematics, Belarus State Economic University, Minks, Belarus","institution_ids":["https://openalex.org/I4210106621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066492464","display_name":"Krzysztof Ga\u0142kowski","orcid":"https://orcid.org/0000-0003-4470-2162"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Galkowski","raw_affiliation_strings":["Institute of Control and Computation Engineering, University of Zielona Gora, Zielona, Gora, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, University of Zielona Gora, Zielona, Gora, Poland","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081788754","display_name":"Eric Rogers","orcid":"https://orcid.org/0000-0003-0179-9398"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Eric Rogers","raw_affiliation_strings":["Department of Electronics and Computer Science, University of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Computer Science, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17274069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"i","issue":null,"first_page":"1","last_page":"4"},"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":0.9950000047683716,"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":0.9950000047683716,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9930999875068665,"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/multidimensional-systems","display_name":"Multidimensional systems","score":0.7208172082901001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.65153568983078},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.647330641746521},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.600818395614624},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5905008912086487},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.588953971862793},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5347603559494019},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.48506084084510803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.471771240234375},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.4424116015434265},{"id":"https://openalex.org/keywords/spectral-theory","display_name":"Spectral theory","score":0.43587690591812134},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4344978630542755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2876681387424469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2622343897819519},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23569026589393616},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.11639294028282166},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08434101939201355}],"concepts":[{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.7208172082901001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.65153568983078},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.647330641746521},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.600818395614624},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5905008912086487},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.588953971862793},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5347603559494019},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.48506084084510803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.471771240234375},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.4424116015434265},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.43587690591812134},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4344978630542755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2876681387424469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2622343897819519},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23569026589393616},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.11639294028282166},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08434101939201355},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/nds.2017.8070639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2017.8070639","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 10th International Workshop on Multidimensional (nD) Systems (nDS)","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":19,"referenced_works":["https://openalex.org/W130632564","https://openalex.org/W218580582","https://openalex.org/W1534430411","https://openalex.org/W1604304367","https://openalex.org/W1605282905","https://openalex.org/W1980126927","https://openalex.org/W1985697760","https://openalex.org/W1986097104","https://openalex.org/W2062594085","https://openalex.org/W2063973166","https://openalex.org/W2066214045","https://openalex.org/W2131524961","https://openalex.org/W2248264385","https://openalex.org/W2319308948","https://openalex.org/W2547292717","https://openalex.org/W2610857016","https://openalex.org/W4235143360","https://openalex.org/W4301022050","https://openalex.org/W6605250307"],"related_works":["https://openalex.org/W767095570","https://openalex.org/W3215227849","https://openalex.org/W2024890731","https://openalex.org/W2085911975","https://openalex.org/W4244367356","https://openalex.org/W3185409940","https://openalex.org/W2389228754","https://openalex.org/W2057466583","https://openalex.org/W2950486055","https://openalex.org/W3138373256"],"abstract_inverted_index":{"In":[0],"this":[1,42],"paper":[2],"the":[3,8,17,26,54],"general":[4],"subject":[5],"area":[6],"is":[7,16],"stability":[9,55],"of":[10,19,28,41,56,59],"multidimensional":[11,61],"linear":[12,60],"systems.":[13,63],"The":[14],"basis":[15],"theory":[18],"a":[20,34,57],"nonnegative":[21],"shift":[22,43],"operator":[23,44],"acting":[24],"on":[25,33,53],"space":[27],"continuous":[29],"bounded":[30],"functions":[31],"given":[32],"locally":[35],"compact":[36],"group.":[37],"Some":[38],"spectral":[39],"properties":[40],"are":[45],"established":[46],"and":[47],"applied":[48],"to":[49],"obtain":[50],"new":[51],"results":[52],"class":[58],"discrete":[62]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}