{"id":"https://openalex.org/W2912171948","doi":"https://doi.org/10.1109/cdc.2018.8619544","title":"Applications of convex analysis to consensus algorithms, pointwise asymptotic stability, and its robustness","display_name":"Applications of convex analysis to consensus algorithms, pointwise asymptotic stability, and its robustness","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2912171948","doi":"https://doi.org/10.1109/cdc.2018.8619544","mag":"2912171948"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619544","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619544","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt42n6t6x5/qt42n6t6x5.pdf?t=pz0dx8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017342314","display_name":"Rafal Goebel","orcid":"https://orcid.org/0000-0003-4981-9466"},"institutions":[{"id":"https://openalex.org/I1925986","display_name":"Loyola University Chicago","ror":"https://ror.org/04b6x2g63","country_code":"US","type":"education","lineage":["https://openalex.org/I1925986"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rafal Goebel","raw_affiliation_strings":["Department of Mathematics and Statistics, Loyola University Chicago, Chicago, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Loyola University Chicago, Chicago, IL","institution_ids":["https://openalex.org/I1925986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028224738","display_name":"Ricardo G. Sanfelice","orcid":"https://orcid.org/0000-0002-6671-5362"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo G. Sanfelice","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Cruz, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2378","last_page":"2383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":1.0,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9962999820709229,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9955000281333923,"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/differential-inclusion","display_name":"Differential inclusion","score":0.8414385318756104},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.7713115215301514},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7289431691169739},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7144148349761963},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6706451177597046},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5795814394950867},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5735841989517212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.520844042301178},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41807055473327637},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38397037982940674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3621061444282532},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3583686351776123},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18534120917320251},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07064434885978699},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0692700445652008}],"concepts":[{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.8414385318756104},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7713115215301514},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7289431691169739},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7144148349761963},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6706451177597046},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5795814394950867},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5735841989517212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.520844042301178},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41807055473327637},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38397037982940674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3621061444282532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3583686351776123},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18534120917320251},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07064434885978699},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0692700445652008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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":2,"locations":[{"id":"doi:10.1109/cdc.2018.8619544","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619544","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt42n6t6x5","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/42n6t6x5","pdf_url":"https://escholarship.org/content/qt42n6t6x5/qt42n6t6x5.pdf?t=pz0dx8","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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:escholarship.org:ark:/13030/qt42n6t6x5","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/42n6t6x5","pdf_url":"https://escholarship.org/content/qt42n6t6x5/qt42n6t6x5.pdf?t=pz0dx8","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2912171948.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W658193902","https://openalex.org/W1486118835","https://openalex.org/W1494171067","https://openalex.org/W1569239057","https://openalex.org/W1582617215","https://openalex.org/W1708812988","https://openalex.org/W1935710009","https://openalex.org/W1981826826","https://openalex.org/W1982993533","https://openalex.org/W1992296912","https://openalex.org/W2007696489","https://openalex.org/W2022948311","https://openalex.org/W2057820893","https://openalex.org/W2063356124","https://openalex.org/W2081309389","https://openalex.org/W2086929129","https://openalex.org/W2091760073","https://openalex.org/W2092137102","https://openalex.org/W2099175737","https://openalex.org/W2103861049","https://openalex.org/W2117079884","https://openalex.org/W2121738381","https://openalex.org/W2125668987","https://openalex.org/W2145703215","https://openalex.org/W2146846916","https://openalex.org/W2160643434","https://openalex.org/W2167677395","https://openalex.org/W2172143163","https://openalex.org/W2277723519","https://openalex.org/W2572334703","https://openalex.org/W2752509387","https://openalex.org/W2769562649","https://openalex.org/W2797037979","https://openalex.org/W2963135216","https://openalex.org/W3211220023","https://openalex.org/W4210718478","https://openalex.org/W4231248581","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4255043376","https://openalex.org/W6637702298"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W1695905856","https://openalex.org/W2795079910","https://openalex.org/W2951610245","https://openalex.org/W1430963189","https://openalex.org/W1974262772","https://openalex.org/W2049901819","https://openalex.org/W3037410748","https://openalex.org/W2052430123","https://openalex.org/W1983437306"],"abstract_inverted_index":{"Convex":[0],"analysis":[1],"and":[2,34],"the":[3],"theory":[4],"of":[5,26,41],"differential":[6,23,48],"inclusions":[7],"with":[8],"maximal":[9],"monotone":[10],"right-hand":[11],"sides":[12],"suggests":[13],"casting":[14],"consensus":[15,37],"algorithms":[16],"as":[17],"systems":[18,31],"involving":[19],"switching":[20,30],"between":[21],"such":[22,29],"inclusions.":[24],"Convergence":[25],"solutions":[27],"to":[28,36],"is":[32,60],"shown":[33],"applications":[35],"are":[38],"presented.":[39],"Robustness":[40],"pointwise":[42],"asymptotic":[43],"stability":[44],"for":[45],"a":[46],"single":[47],"inclusion":[49],"which":[50],"has":[51],"some":[52],"monotonicity-related":[53],"properties,":[54],"but":[55],"needs":[56],"not":[57],"be":[58],"monotone,":[59],"shown.":[61]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}