{"id":"https://openalex.org/W2504463243","doi":"https://doi.org/10.1109/tac.2017.2727282","title":"Stability Analysis of Monotone Systems via Max-Separable Lyapunov Functions","display_name":"Stability Analysis of Monotone Systems via Max-Separable Lyapunov Functions","publication_year":2017,"publication_date":"2017-07-25","ids":{"openalex":"https://openalex.org/W2504463243","doi":"https://doi.org/10.1109/tac.2017.2727282","mag":"2504463243"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2727282","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2727282","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1607.07966","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038418293","display_name":"Hamid Reza Feyzmahdavian","orcid":"https://orcid.org/0000-0003-1149-4715"},"institutions":[{"id":"https://openalex.org/I4210086503","display_name":"ABB (Sweden)","ror":"https://ror.org/0033n4009","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210086503","https://openalex.org/I885143765"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Hamid Reza Feyzmahdavian","raw_affiliation_strings":["ABB Corporate Research Center, V\u00e4ster\u00e5s, Sweden","[ABB Corporate Research Center, V\u00e4ster\u00e5s, Sweden]"],"raw_orcid":"https://orcid.org/0000-0003-1149-4715","affiliations":[{"raw_affiliation_string":"ABB Corporate Research Center, V\u00e4ster\u00e5s, Sweden","institution_ids":["https://openalex.org/I4210086503"]},{"raw_affiliation_string":"[ABB Corporate Research Center, V\u00e4ster\u00e5s, Sweden]","institution_ids":["https://openalex.org/I4210086503"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083507299","display_name":"Bart Besselink","orcid":"https://orcid.org/0000-0001-5194-3306"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Bart Besselink","raw_affiliation_strings":["Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, CP, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-5194-3306","affiliations":[{"raw_affiliation_string":"Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, CP, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024256519","display_name":"Mikael Johansson","orcid":"https://orcid.org/0000-0002-2237-2580"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Mikael Johansson","raw_affiliation_strings":["Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden","[Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden]"],"raw_orcid":"https://orcid.org/0000-0002-2237-2580","affiliations":[{"raw_affiliation_string":"Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"[Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden]","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1984,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.46999696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"63","issue":"3","first_page":"643","last_page":"656"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9994999766349792,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9904999732971191,"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/monotone-polygon","display_name":"Monotone polygon","score":0.8589606881141663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.781685471534729},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7126122117042542},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6639345288276672},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6401803493499756},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.579852819442749},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5463824272155762},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.513701319694519},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5028619170188904},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.46499860286712646},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4306762218475342},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4122697114944458},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28967422246932983},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24443644285202026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09170305728912354}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8589606881141663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.781685471534729},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7126122117042542},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6639345288276672},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6401803493499756},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.579852819442749},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5463824272155762},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.513701319694519},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5028619170188904},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.46499860286712646},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4306762218475342},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4122697114944458},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28967422246932983},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24443644285202026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09170305728912354},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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":6,"locations":[{"id":"doi:10.1109/tac.2017.2727282","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2727282","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"},{"id":"pmh:oai:arXiv.org:1607.07966","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1607.07966","pdf_url":"https://arxiv.org/pdf/1607.07966","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.rug.nl:openaire/01385883-c2e7-4d5c-9829-6d6239da3bc8","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/01385883-c2e7-4d5c-9829-6d6239da3bc8","pdf_url":"https://research.rug.nl/files/64525215/07981351.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"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":"Feyzmahdavian, H R, Besselink, B & Johansson, M 2018, 'Stability analysis of monotone systems via max-separable Lyapunov functions', IEEE Transactions on Automatic Control, vol. 63, no. 3, pp. 643-656. https://doi.org/10.1109/TAC.2017.2727282","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.rug.nl:publications/01385883-c2e7-4d5c-9829-6d6239da3bc8","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/01385883-c2e7-4d5c-9829-6d6239da3bc8","pdf_url":"https://pure.rug.nl/ws/files/64525215/07981351.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"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":"Feyzmahdavian, H R, Besselink, B & Johansson, M 2018, 'Stability analysis of monotone systems via max-separable Lyapunov functions', IEEE Transactions on Automatic Control, vol. 63, no. 3, pp. 643-656. https://doi.org/10.1109/TAC.2017.2727282","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1607.07966","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1607.07966","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:2504463243","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1607.07966","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1607.07966","pdf_url":"https://arxiv.org/pdf/1607.07966","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2504463243.pdf","grobid_xml":"https://content.openalex.org/works/W2504463243.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W85072216","https://openalex.org/W374079423","https://openalex.org/W992649926","https://openalex.org/W1059638856","https://openalex.org/W1506119886","https://openalex.org/W1534430411","https://openalex.org/W1851248039","https://openalex.org/W1968742902","https://openalex.org/W1970321745","https://openalex.org/W1976820869","https://openalex.org/W1987131239","https://openalex.org/W1996116324","https://openalex.org/W2005895359","https://openalex.org/W2007307269","https://openalex.org/W2012719969","https://openalex.org/W2020322142","https://openalex.org/W2020588182","https://openalex.org/W2025176383","https://openalex.org/W2041656693","https://openalex.org/W2045256358","https://openalex.org/W2049557302","https://openalex.org/W2057283793","https://openalex.org/W2059279280","https://openalex.org/W2059998662","https://openalex.org/W2061731692","https://openalex.org/W2077580147","https://openalex.org/W2089924726","https://openalex.org/W2093073593","https://openalex.org/W2093229632","https://openalex.org/W2096676742","https://openalex.org/W2099381337","https://openalex.org/W2100649435","https://openalex.org/W2104299666","https://openalex.org/W2111976265","https://openalex.org/W2126999594","https://openalex.org/W2128195908","https://openalex.org/W2129063142","https://openalex.org/W2129681350","https://openalex.org/W2131406112","https://openalex.org/W2134232759","https://openalex.org/W2135018259","https://openalex.org/W2135152519","https://openalex.org/W2141566274","https://openalex.org/W2143294995","https://openalex.org/W2143927056","https://openalex.org/W2143994750","https://openalex.org/W2147741970","https://openalex.org/W2155425450","https://openalex.org/W2156894914","https://openalex.org/W2164271287","https://openalex.org/W2164710299","https://openalex.org/W2165565577","https://openalex.org/W2165716201","https://openalex.org/W2165836747","https://openalex.org/W2166127999","https://openalex.org/W2168132433","https://openalex.org/W2170131502","https://openalex.org/W2289858443","https://openalex.org/W2300701350","https://openalex.org/W2314947168","https://openalex.org/W2506632866","https://openalex.org/W2568555455","https://openalex.org/W2610279013","https://openalex.org/W2950290894","https://openalex.org/W2962865436","https://openalex.org/W3103466487","https://openalex.org/W3104452722","https://openalex.org/W4211202937","https://openalex.org/W4232266184","https://openalex.org/W4235143360","https://openalex.org/W4295016751","https://openalex.org/W6606538118"],"related_works":["https://openalex.org/W2963354124","https://openalex.org/W2568555455","https://openalex.org/W2007307269","https://openalex.org/W2978563628","https://openalex.org/W3100274634","https://openalex.org/W1603933126","https://openalex.org/W2986626636","https://openalex.org/W1972346204","https://openalex.org/W2349846204","https://openalex.org/W1604684284","https://openalex.org/W2157825464","https://openalex.org/W2012487366","https://openalex.org/W62077208","https://openalex.org/W2340211353","https://openalex.org/W2170262911","https://openalex.org/W2161588670","https://openalex.org/W2128746280","https://openalex.org/W1963987478","https://openalex.org/W2094263082","https://openalex.org/W2562514061"],"abstract_inverted_index":{"We":[0],"analyze":[1],"stability":[2,24,48,114],"properties":[3,52],"of":[4,25,33,53,75,96,107,125],"monotone":[5,27,44,65,99],"nonlinear":[6,28,66,100],"systems":[7,101],"via":[8],"max-separable":[9,35,77],"Lyapunov":[10,36,78],"functions,":[11],"motivated":[12],"by":[13],"the":[14,31,50,73,120,123,126],"following":[15],"observations:":[16],"first,":[17],"recent":[18],"results":[19,121],"have":[20],"shown":[21],"that":[22,63],"asymptotic":[23,47,71],"a":[26,34,39,76,91,105],"system":[29],"implies":[30,49],"existence":[32,74],"function":[37],"on":[38],"compact":[40],"set;":[41],"second,":[42],"for":[43,64,98,112],"linear":[45],"systems,":[46,67],"stronger":[51],"D-stability":[54,97],"and":[55,81,85,93,104,109],"insensitivity":[56,82],"to":[57,83],"time":[58],"delays.":[59,88],"This":[60],"paper":[61],"establishes":[62],"equivalence":[68],"holds":[69],"between":[70],"stability,":[72],"function,":[79],"D-stability,":[80],"bounded":[84],"unbounded":[86],"time-varying":[87],"In":[89],"particular,":[90],"new":[92],"general":[94],"notion":[95],"is":[102],"discussed,":[103],"set":[106],"necessary":[108],"sufficient":[110],"conditions":[111],"delay-independent":[113],"are":[115],"derived.":[116],"Examples":[117],"show":[118],"how":[119],"extend":[122],"state":[124],"art.":[127]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}