{"id":"https://openalex.org/W2118534979","doi":"https://doi.org/10.1109/ecc.2015.7331009","title":"A classification of linear controllable systems on time scale","display_name":"A classification of linear controllable systems on time scale","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2118534979","doi":"https://doi.org/10.1109/ecc.2015.7331009","mag":"2118534979"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7331009","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7331009","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","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/A5060952249","display_name":"Monika Ciulkin","orcid":null},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Monika Ciulkin","raw_affiliation_strings":["Faculty of Mechanical Engineering Bialystok University of Technology, Bialystok, Poland","Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45C, 15-351, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering Bialystok University of Technology, Bialystok, Poland","institution_ids":["https://openalex.org/I1323121030"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45C, 15-351, Poland","institution_ids":["https://openalex.org/I1323121030"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019229577","display_name":"Ewa Paw\u0142uszewicz","orcid":"https://orcid.org/0000-0002-3297-7970"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Pawluszewicz","raw_affiliation_strings":["Faculty of Mechanical Engineering Bialystok University of Technology, Bialystok, Poland","Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45C, 15-351, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering Bialystok University of Technology, Bialystok, Poland","institution_ids":["https://openalex.org/I1323121030"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45C, 15-351, Poland","institution_ids":["https://openalex.org/I1323121030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":0.2076977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3097","last_page":"3101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.9767000079154968,"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"}},{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9715999960899353,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.7169123888015747},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.7144395112991333},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5062333941459656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5055665969848633},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.49244698882102966},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4748516380786896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4649805724620819},{"id":"https://openalex.org/keywords/linear-control-systems","display_name":"Linear control systems","score":0.4646012485027313},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4402271807193756},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.42864909768104553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3449854254722595},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3287051320075989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2591119408607483},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.16680818796157837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14380282163619995},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12119928002357483},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11747854948043823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10440021753311157}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7169123888015747},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.7144395112991333},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5062333941459656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5055665969848633},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.49244698882102966},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4748516380786896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4649805724620819},{"id":"https://openalex.org/C2987686001","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Linear control systems","level":3,"score":0.4646012485027313},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4402271807193756},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.42864909768104553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3449854254722595},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3287051320075989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2591119408607483},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16680818796157837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14380282163619995},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12119928002357483},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11747854948043823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10440021753311157},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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:10.1109/ecc.2015.7331009","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7331009","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","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":15,"referenced_works":["https://openalex.org/W94433250","https://openalex.org/W96844719","https://openalex.org/W271810198","https://openalex.org/W1484739396","https://openalex.org/W1522419168","https://openalex.org/W1565717808","https://openalex.org/W1570560538","https://openalex.org/W2045383384","https://openalex.org/W2082472945","https://openalex.org/W2110522438","https://openalex.org/W2157533337","https://openalex.org/W2339246496","https://openalex.org/W2405217292","https://openalex.org/W3143408338","https://openalex.org/W4239216443"],"related_works":["https://openalex.org/W2047558453","https://openalex.org/W1999673819","https://openalex.org/W958199350","https://openalex.org/W2380695172","https://openalex.org/W1573796078","https://openalex.org/W2105827667","https://openalex.org/W2139754357","https://openalex.org/W2054831413","https://openalex.org/W2134933822","https://openalex.org/W2133734489"],"abstract_inverted_index":{"The":[0,17],"linear":[1,38],"time-varying":[2],"control":[3],"systems":[4,25,42],"defined":[5],"on":[6,12],"any":[7],"model":[8],"of":[9,19,21,24,36,40],"time,":[10],"i.e.":[11],"time":[13],"scales":[14],"are":[15,47],"considered.":[16],"problem":[18],"equivalence":[20],"these":[22],"type":[23],"is":[26],"studied.":[27],"Sufficient":[28],"and":[29],"necessary":[30],"conditions":[31],"to":[32,43],"guarantee":[33],"the":[34],"existence":[35],"a":[37],"transformations":[39],"such":[41],"Brunovsky":[44],"canonical":[45],"form":[46],"given.":[48]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}