{"id":"https://openalex.org/W2121012494","doi":"https://doi.org/10.1109/cdc.2009.5399689","title":"Synchronization with partial state feedback on SO(n)","display_name":"Synchronization with partial state feedback on SO(n)","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2121012494","doi":"https://doi.org/10.1109/cdc.2009.5399689","mag":"2121012494"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5399689","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbi.uliege.be/bitstream/2268/20362/1/consensus_part_state.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113636418","display_name":"Christian Lageman","orcid":null},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"C. Lageman","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, 4000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, 4000, Belgium","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016288250","display_name":"Alain Sarlette","orcid":"https://orcid.org/0000-0001-5909-437X"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"A. Sarlette","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, 4000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, 4000, Belgium","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067642477","display_name":"Rodolphe Sepulchre","orcid":"https://orcid.org/0000-0002-7047-3124"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"R. Sepulchre","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, 4000, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, Liege, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Montefiore Institute, B28), University of Li\u00e8ge, 4000, Belgium","institution_ids":["https://openalex.org/I157674565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157674565"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1696","last_page":"1701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9958000183105469,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7476717233657837},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6980891227722168},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5458278656005859},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5080356597900391},{"id":"https://openalex.org/keywords/rank-condition","display_name":"Rank condition","score":0.5071930885314941},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.49805593490600586},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.492559015750885},{"id":"https://openalex.org/keywords/information-exchange","display_name":"Information exchange","score":0.4263456165790558},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36656492948532104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35196879506111145},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2780199646949768},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23213738203048706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2131749391555786},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13484808802604675},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07580089569091797}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7476717233657837},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6980891227722168},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5458278656005859},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5080356597900391},{"id":"https://openalex.org/C2778095854","wikidata":"https://www.wikidata.org/wiki/Q4420961","display_name":"Rank condition","level":3,"score":0.5071930885314941},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.49805593490600586},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.492559015750885},{"id":"https://openalex.org/C189693848","wikidata":"https://www.wikidata.org/wiki/Q6031064","display_name":"Information exchange","level":2,"score":0.4263456165790558},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36656492948532104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35196879506111145},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2780199646949768},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23213738203048706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2131749391555786},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13484808802604675},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07580089569091797},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2009.5399689","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399689","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:orbi.ulg.ac.be:2268/20362","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/20362","pdf_url":"https://orbi.uliege.be/bitstream/2268/20362/1/consensus_part_state.pdf","source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 48th IEEE Conference on Decision and Control, 1696-1701 (2009-12); 48th IEEE Conference on Decision and Control, Shanghai, China [CN], from 15-12-2009 to 18-12-2009","raw_type":"http://purl.org/coar/resource_type/c_5794"},{"id":"pmh:oai:generic.eprints.org:577488","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/577488/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:orbi.ulg.ac.be:2268/20362","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/20362","pdf_url":"https://orbi.uliege.be/bitstream/2268/20362/1/consensus_part_state.pdf","source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 48th IEEE Conference on Decision and Control, 1696-1701 (2009-12); 48th IEEE Conference on Decision and Control, Shanghai, China [CN], from 15-12-2009 to 18-12-2009","raw_type":"http://purl.org/coar/resource_type/c_5794"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.75,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2121012494.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W62340590","https://openalex.org/W85112348","https://openalex.org/W1509364003","https://openalex.org/W1547358136","https://openalex.org/W1805843217","https://openalex.org/W1990304174","https://openalex.org/W2015410655","https://openalex.org/W2025800439","https://openalex.org/W2047283311","https://openalex.org/W2049631384","https://openalex.org/W2053741158","https://openalex.org/W2064404969","https://openalex.org/W2065860562","https://openalex.org/W2084371156","https://openalex.org/W2106615687","https://openalex.org/W2110324611","https://openalex.org/W2119497361","https://openalex.org/W2128084896","https://openalex.org/W2128924023","https://openalex.org/W2141070320","https://openalex.org/W2150312211","https://openalex.org/W2155965955","https://openalex.org/W2160643434","https://openalex.org/W2165744313","https://openalex.org/W2562983303","https://openalex.org/W3012377150","https://openalex.org/W3037683188","https://openalex.org/W3142254123","https://openalex.org/W4234406933","https://openalex.org/W4248004290","https://openalex.org/W6638170506","https://openalex.org/W6667103651","https://openalex.org/W6676439667"],"related_works":["https://openalex.org/W2112835755","https://openalex.org/W4291951920","https://openalex.org/W2349674371","https://openalex.org/W2097495471","https://openalex.org/W1696545756","https://openalex.org/W2149024560","https://openalex.org/W2162496869","https://openalex.org/W2907320530","https://openalex.org/W4377148500","https://openalex.org/W2739345656"],"abstract_inverted_index":{"In":[0],"this":[1,98],"paper":[2],"we":[3,84],"consider":[4],"the":[5,44,47,86,113,135],"problem":[6,125],"of":[7,19,46,88],"constructing":[8],"a":[9,17,60,71,75,79,94],"distributed":[10],"feedback":[11],"law":[12,64],"to":[13,70],"achieve":[14],"synchronization":[15,72,124],"for":[16,97],"group":[18],"k":[20],"agents":[21,127],"whose":[22],"states":[23],"evolve":[24],"on":[25,49,78,112,121],"SO(n)":[26],"and":[27,92,109],"which":[28,65],"exchange":[29,128],"only":[30,129],"partial":[31,38],"state":[32,39,48],"information":[33,40],"along":[34],"communication":[35,107],"links.":[36],"The":[37,100],"is":[41],"given":[42],"by":[43],"action":[45],"reference":[50,90,115],"vectors":[51,91],"in":[52,134],"\u00bf":[53],"<sup":[54],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[56],".":[57],"We":[58],"propose":[59],"gradient":[61],"based":[62],"control":[63],"achieves":[66],"exponential":[67],"local":[68],"convergence":[69,95],"configuration":[73],"under":[74],"rank":[76],"condition":[77],"generalized":[80],"Laplacian":[81],"matrix.":[82],"Furthermore,":[83],"discuss":[85],"case":[87],"time-varying":[89],"provide":[93],"result":[96],"case.":[99],"latter":[101],"helps":[102],"reach":[103],"synchronization,":[104],"requiring":[105],"less":[106],"links":[108],"weaker":[110],"conditions":[111],"instantaneous":[114],"vectors.":[116],"Our":[117],"methods":[118],"are":[119],"illustrated":[120],"an":[122],"attitude":[123],"where":[126],"their":[130],"relative":[131],"positions":[132],"observed":[133],"respective":[136],"body":[137],"frames.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}