{"id":"https://openalex.org/W2623050726","doi":"https://doi.org/10.1109/tac.2017.2713241","title":"Spectral Conditions for Stability and Stabilization of Positive Equilibria for a Class of Nonlinear Cooperative Systems","display_name":"Spectral Conditions for Stability and Stabilization of Positive Equilibria for a Class of Nonlinear Cooperative Systems","publication_year":2017,"publication_date":"2017-06-07","ids":{"openalex":"https://openalex.org/W2623050726","doi":"https://doi.org/10.1109/tac.2017.2713241","mag":"2623050726"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2713241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2713241","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":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-145240","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041828515","display_name":"Precious Ugo Abara","orcid":"https://orcid.org/0000-0003-3981-9358"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE","IT"],"is_corresponding":true,"raw_author_name":"Precious Ugo Abara","raw_affiliation_strings":["Department of Information Engineering, University of Padova, Padova, Italy","Technical University of Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071920323","display_name":"Francesco Ticozzi","orcid":"https://orcid.org/0000-0002-1742-119X"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]},{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"Francesco Ticozzi","raw_affiliation_strings":["Department of Information Engineering, University of Padova, Padova, Italy","Department of Physics and Astronomy, Dartmouth College, Hanover, NH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Physics and Astronomy, Dartmouth College, Hanover, NH, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064589174","display_name":"Claudio Altafini","orcid":"https://orcid.org/0000-0003-4142-6502"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Claudio Altafini","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041828515"],"corresponding_institution_ids":["https://openalex.org/I138689650","https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":1.9706,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88126395,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":"2","first_page":"402","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"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":0.9991000294685364,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6433268785476685},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6199677586555481},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5868262648582458},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5771828293800354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5139963030815125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3685557246208191},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2853124439716339},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18723440170288086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.164281964302063},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09721028804779053}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6433268785476685},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6199677586555481},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5868262648582458},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5771828293800354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5139963030815125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3685557246208191},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2853124439716339},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18723440170288086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.164281964302063},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09721028804779053},{"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":4,"locations":[{"id":"doi:10.1109/tac.2017.2713241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2713241","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:DiVA.org:liu-145240","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-145240","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1382009","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1382009","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"","raw_type":"article"},{"id":"pmh:oai:www.research.unipd.it:11577/3236069","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/3236069","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:liu-145240","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-145240","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4000000059604645}],"awards":[{"id":"https://openalex.org/G788272215","display_name":null,"funder_award_id":"2015-04390","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W104675382","https://openalex.org/W391578156","https://openalex.org/W615876487","https://openalex.org/W830786548","https://openalex.org/W1500921805","https://openalex.org/W1603022741","https://openalex.org/W1851248039","https://openalex.org/W1969705022","https://openalex.org/W1979112316","https://openalex.org/W1989544744","https://openalex.org/W2004621158","https://openalex.org/W2011069611","https://openalex.org/W2024869477","https://openalex.org/W2039617089","https://openalex.org/W2057283793","https://openalex.org/W2062448723","https://openalex.org/W2064726100","https://openalex.org/W2072224437","https://openalex.org/W2080407807","https://openalex.org/W2082042541","https://openalex.org/W2085728653","https://openalex.org/W2090502749","https://openalex.org/W2094014274","https://openalex.org/W2120510384","https://openalex.org/W2124776405","https://openalex.org/W2134889984","https://openalex.org/W2135152519","https://openalex.org/W2138960193","https://openalex.org/W2143927056","https://openalex.org/W2164271287","https://openalex.org/W2169275901","https://openalex.org/W2291826134","https://openalex.org/W2312834382","https://openalex.org/W2570059030","https://openalex.org/W2610857016","https://openalex.org/W2950290894","https://openalex.org/W4206956104","https://openalex.org/W4235143360","https://openalex.org/W4240855764","https://openalex.org/W4295016751","https://openalex.org/W4299802838","https://openalex.org/W6606538118","https://openalex.org/W6623272365","https://openalex.org/W6731492681"],"related_works":["https://openalex.org/W2037063555","https://openalex.org/W2928999619","https://openalex.org/W2618188303","https://openalex.org/W2612102768","https://openalex.org/W1999955141","https://openalex.org/W2003663467","https://openalex.org/W2112707028","https://openalex.org/W2381966454","https://openalex.org/W2093666436","https://openalex.org/W1494666726"],"abstract_inverted_index":{"Nonlinear":[0],"cooperative":[1],"systems":[2],"associated":[3],"to":[4,76,80],"vector":[5],"fields":[6],"that":[7,16,38],"are":[8,17,69],"concave":[9],"or":[10],"subhomogeneous":[11],"describe":[12],"well":[13],"interconnected":[14],"dynamics":[15],"of":[18,32,44,56,60,63,88],"key":[19],"interest":[20],"for":[21],"communication,":[22],"biological,":[23],"economical,":[24],"and":[25,42],"neural":[26],"network":[27],"applications.":[28],"For":[29],"this":[30],"class":[31],"positive":[33,46,90],"systems,":[34],"we":[35],"provide":[36],"conditions":[37,49],"guarantee":[39],"existence,":[40],"uniqueness":[41],"stability":[43],"strictly":[45],"equilibria.":[47],"These":[48],"can":[50],"be":[51],"formulated":[52],"directly":[53],"in":[54,85],"terms":[55],"the":[57,61,64,86,89],"spectral":[58],"radius":[59],"Jacobian":[62],"system.":[65],"If":[66],"control":[67],"inputs":[68],"available,":[70],"then":[71],"it":[72],"is":[73],"shown":[74],"how":[75],"use":[77],"state":[78],"feedback":[79],"stabilize":[81],"an":[82],"equilibrium":[83],"point":[84],"interior":[87],"orthant.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2017-06-15T00:00:00"}