{"id":"https://openalex.org/W2468252566","doi":"https://doi.org/10.1093/imamci/dnw022","title":"The null controllability of nonlinear discrete control systems with degeneracy","display_name":"The null controllability of nonlinear discrete control systems with degeneracy","publication_year":2016,"publication_date":"2016-06-28","ids":{"openalex":"https://openalex.org/W2468252566","doi":"https://doi.org/10.1093/imamci/dnw022","mag":"2468252566"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnw022","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnw022","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5066651806","display_name":"Xue-li Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue-Li Tan","raw_affiliation_strings":["*School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"*School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100355339","display_name":"Yong Li","orcid":"https://orcid.org/0000-0002-1183-5359"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Li","raw_affiliation_strings":["*School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"*School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100355339"],"corresponding_institution_ids":["https://openalex.org/I184983240"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.5356,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6800901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"dnw022","last_page":"dnw022"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9990000128746033,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9990000128746033,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.993399977684021,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9878000020980835,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9672129154205322},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7235721945762634},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.6895577907562256},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.6790799498558044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6448237895965576},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.538987934589386},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5333758592605591},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.43396320939064026},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41681358218193054},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3730180561542511},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3704974055290222},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2041066288948059},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1284492015838623},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0446029007434845}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9672129154205322},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7235721945762634},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.6895577907562256},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.6790799498558044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6448237895965576},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.538987934589386},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5333758592605591},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.43396320939064026},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41681358218193054},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3730180561542511},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3704974055290222},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2041066288948059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1284492015838623},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0446029007434845},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnw022","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnw022","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1496421768","https://openalex.org/W1540059687","https://openalex.org/W1556970733","https://openalex.org/W1578722530","https://openalex.org/W1887006513","https://openalex.org/W1965895791","https://openalex.org/W1966332331","https://openalex.org/W1973212579","https://openalex.org/W1987005365","https://openalex.org/W1994368767","https://openalex.org/W2013348732","https://openalex.org/W2018060348","https://openalex.org/W2056890164","https://openalex.org/W2070267857","https://openalex.org/W2078848271","https://openalex.org/W2128978199","https://openalex.org/W2140998418","https://openalex.org/W2158945070","https://openalex.org/W4254742956","https://openalex.org/W4292872153","https://openalex.org/W6647215809","https://openalex.org/W6648825870"],"related_works":["https://openalex.org/W4225722709","https://openalex.org/W2036697162","https://openalex.org/W2051029143","https://openalex.org/W2131379161","https://openalex.org/W3185750406","https://openalex.org/W3215273227","https://openalex.org/W2018039518","https://openalex.org/W2580275160","https://openalex.org/W1480788855","https://openalex.org/W2079322307"],"abstract_inverted_index":{"This":[0],"article":[1],"mainly":[2],"concerns":[3],"the":[4,28,47,65],"null":[5,35],"controllability":[6,36],"of":[7,34,50],"autonomous":[8],"and":[9,19,31],"non-autonomous":[10],"nonlinear":[11,38],"discrete":[12,39],"control":[13,40],"systems.":[14],"By":[15],"using":[16],"Cayley\u2013Hamilton":[17],"theorem":[18,23],"Brouwer's":[20],"fixed":[21],"point":[22],"under":[24,52],"a":[25],"condition":[26],"on":[27],"nonlinearity,":[29],"sufficient":[30],"necessary":[32],"conditions":[33],"for":[37],"systems":[41,51],"are":[42,61],"presented.":[43],"In":[44,58],"our":[45],"approach,":[46],"linear":[48],"part":[49],"consideration":[53],"might":[54],"admit":[55],"some":[56],"degeneracy.":[57],"addition,":[59],"applications":[60],"given":[62],"to":[63],"illustrate":[64],"obtained":[66],"results.":[67]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
