{"id":"https://openalex.org/W4299497788","doi":"https://doi.org/10.1109/tac.2022.3176431","title":"Controllability and Accessibility on Graphs for Bilinear Systems Over Lie Groups","display_name":"Controllability and Accessibility on Graphs for Bilinear Systems Over Lie Groups","publication_year":2022,"publication_date":"2022-05-20","ids":{"openalex":"https://openalex.org/W4299497788","doi":"https://doi.org/10.1109/tac.2022.3176431"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3176431","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3176431","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/A5100365479","display_name":"Xing Wang","orcid":"https://orcid.org/0000-0001-7404-9411"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xing Wang","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100448719","display_name":"Bo Li","orcid":"https://orcid.org/0000-0003-4885-0656"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Li","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079314465","display_name":"Jr-Shin Li","orcid":"https://orcid.org/0000-0001-6693-3979"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jr-Shin Li","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Petersen","raw_affiliation_strings":["Research School of Electrical, Energy and Materials Engineering, Australian National University, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"Research School of Electrical, Energy and Materials Engineering, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101779749","display_name":"Guodong Shi","orcid":"https://orcid.org/0000-0002-5929-9655"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210127558","display_name":"Australian Centre for Robotic Vision","ror":"https://ror.org/02zv9xv82","country_code":"AU","type":"facility","lineage":["https://openalex.org/I4210127558"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Guodong Shi","raw_affiliation_strings":["Australian Center for Field Robotics, School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Australian Center for Field Robotics, School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW, Australia","institution_ids":["https://openalex.org/I4210127558","https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100365479"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":1.2425,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80554889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":"4","first_page":"2277","last_page":"2292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9733999967575073,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/controllability","display_name":"Controllability","score":0.8728375434875488},{"id":"https://openalex.org/keywords/rank-condition","display_name":"Rank condition","score":0.8001071214675903},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.6379370093345642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6220159530639648},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5818257331848145},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.5697612166404724},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4185551106929779},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.399802029132843},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39937394857406616},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3854171633720398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.12431010603904724}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8728375434875488},{"id":"https://openalex.org/C2778095854","wikidata":"https://www.wikidata.org/wiki/Q4420961","display_name":"Rank condition","level":3,"score":0.8001071214675903},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.6379370093345642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6220159530639648},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5818257331848145},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.5697612166404724},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4185551106929779},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.399802029132843},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39937394857406616},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3854171633720398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.12431010603904724},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3176431","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3176431","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/G5418894820","display_name":null,"funder_award_id":"DP190103615","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8430282684","display_name":null,"funder_award_id":"DP190102158","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1485493107","https://openalex.org/W1894491172","https://openalex.org/W1963649370","https://openalex.org/W1971064885","https://openalex.org/W1977594883","https://openalex.org/W1981252466","https://openalex.org/W1985818806","https://openalex.org/W2004689433","https://openalex.org/W2035019077","https://openalex.org/W2057285417","https://openalex.org/W2069427982","https://openalex.org/W2070267857","https://openalex.org/W2077076780","https://openalex.org/W2090377275","https://openalex.org/W2140623975","https://openalex.org/W2152055417","https://openalex.org/W2165501718","https://openalex.org/W2165744313","https://openalex.org/W2342931538","https://openalex.org/W2478509510","https://openalex.org/W2481075399","https://openalex.org/W2511127296","https://openalex.org/W2567764623","https://openalex.org/W2573995637","https://openalex.org/W2800793136","https://openalex.org/W2927064333","https://openalex.org/W2981825267","https://openalex.org/W2997052796","https://openalex.org/W3002961657","https://openalex.org/W3085204120","https://openalex.org/W3100923705","https://openalex.org/W3118668018","https://openalex.org/W6606777849"],"related_works":["https://openalex.org/W2025554796","https://openalex.org/W2759230183","https://openalex.org/W4287775910","https://openalex.org/W2055203360","https://openalex.org/W1975041680","https://openalex.org/W2619553900","https://openalex.org/W4294674537","https://openalex.org/W2963040668","https://openalex.org/W2963288691","https://openalex.org/W4316034888"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"graph":[3,55],"theoretic":[4],"conditions":[5,129,171],"for":[6,130],"the":[7,15,19,24,30,57,62,68,77,83,96,101,114,131,143,146,149,160,163,169],"controllability":[8,70,132],"and":[9,23,59,116,133,151,166],"accessibility":[10,72,134],"of":[11,32,76,82,94,108,127,135,145,148,162],"bilinear":[12,47,137],"systems":[13,48],"over":[14,113],"special":[16,20],"orthogonal":[17],"group,":[18,27],"linear":[21,26],"group":[22],"general":[25],"respectively,":[28],"in":[29,80,100,173],"presence":[31],"drift":[33,115,150],"terms.":[34],"The":[35],"controlled":[36,63,117,152],"terms":[37],"are":[38,172],"assumed":[39],"to":[40,158],"take":[41],"place":[42],"between":[43],"pairwise":[44],"states.":[45],"Such":[46],"naturally":[49],"induce":[50],"two":[51,78],"interaction":[52,118,153],"graphs:":[53],"one":[54],"from":[56,61],"drift,":[58],"another":[60],"dynamics.":[64],"As":[65,120],"a":[66,74,91,121,125],"result,":[67,122],"system":[69],"or":[71,110],"becomes":[73],"property":[75],"graphs":[79],"view":[81],"classical":[84],"Lie":[85,97,103],"algebra":[86],"rank":[87],"condition.":[88],"We":[89,155],"establish":[90,124],"systemic":[92],"way":[93],"transforming":[95],"bracket":[98],"operations":[99,107],"underlying":[102],"algebra,":[104],"into":[105],"specific":[106],"removing":[109],"creating":[111],"links":[112],"graphs.":[119,154],"we":[123],"series":[126],"graphical":[128],"such":[136],"systems,":[138],"which":[139],"rely":[140],"only":[141],"on":[142],"connectivity":[144],"union":[147],"present":[156],"examples":[157],"illustrate":[159],"validity":[161],"established":[164],"results,":[165],"show":[167],"that":[168],"proposed":[170],"fact":[174],"considerably":[175],"tight.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
