{"id":"https://openalex.org/W2074283998","doi":"https://doi.org/10.1109/tac.2013.2292739","title":"Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays","display_name":"Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2074283998","doi":"https://doi.org/10.1109/tac.2013.2292739","mag":"2074283998"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2292739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2292739","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1311.2897","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hamid Reza Feyzmahdavian","orcid":null},"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":"Hamid Reza Feyzmahdavian","raw_affiliation_strings":["ACCESS Linnaeus Center, KTH-Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ACCESS Linnaeus Center, KTH-Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Themistoklis Charalambous","orcid":null},"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":"Themistoklis Charalambous","raw_affiliation_strings":["ACCESS Linnaeus Center, KTH-Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ACCESS Linnaeus Center, KTH-Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mikael Johansson","orcid":null},"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":["ACCESS Linnaeus Center, KTH-Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ACCESS Linnaeus Center, KTH-Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":14.5151,"has_fulltext":true,"cited_by_count":138,"citation_normalized_percentile":{"value":0.99029006,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"59","issue":"6","first_page":"1594","last_page":"1599"},"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":0.9835000038146973,"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":0.9835000038146973,"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":0.006300000008195639,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.8001999855041504},{"id":"https://openalex.org/keywords/positive-systems","display_name":"Positive systems","score":0.6837000250816345},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6758999824523926},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5952000021934509},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5878000259399414},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5824999809265137},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5227000117301941},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5073999762535095},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4706000089645386}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.8001999855041504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.751800000667572},{"id":"https://openalex.org/C2778299942","wikidata":"https://www.wikidata.org/wiki/Q7233296","display_name":"Positive systems","level":3,"score":0.6837000250816345},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6758999824523926},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5952000021934509},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5878000259399414},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5824999809265137},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5227000117301941},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5073999762535095},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5037999749183655},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4706000089645386},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4449999928474426},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4221000075340271},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.3912999927997589},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3718000054359436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32519999146461487},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.3190000057220459},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.2840999960899353},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.2768999934196472},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C50488108","wikidata":"https://www.wikidata.org/wiki/Q618684","display_name":"Marginal stability","level":3,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2013.2292739","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2292739","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:1311.2897","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1311.2897","pdf_url":"https://arxiv.org/pdf/1311.2897","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1311.2897","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1311.2897","pdf_url":"https://arxiv.org/pdf/1311.2897","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2074283998.pdf","grobid_xml":"https://content.openalex.org/works/W2074283998.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W51039983","https://openalex.org/W1996116324","https://openalex.org/W2005415772","https://openalex.org/W2017465297","https://openalex.org/W2074717584","https://openalex.org/W2118255604","https://openalex.org/W2129681350","https://openalex.org/W2130600355","https://openalex.org/W2143994750","https://openalex.org/W2145067072","https://openalex.org/W2149302262","https://openalex.org/W2155039147","https://openalex.org/W2165716201","https://openalex.org/W4235143360"],"related_works":[],"abstract_inverted_index":{"While":[0],"the":[1,9,19,43,65,116,121,127,148],"asymptotic":[2],"stability":[3,40,81],"of":[4,11,35,46,50,118,131],"positive":[5,23,52,56,85,97,132],"linear":[6,57,133,152],"systems":[7,24,53,58,86,98,134,153],"in":[8],"presence":[10],"bounded":[12],"time":[13,66],"delays":[14,67,119],"has":[15],"been":[16],"thoroughly":[17],"investigated,":[18],"theory":[20],"for":[21,37,79],"nonlinear":[22,51],"is":[25],"considerably":[26],"less":[27],"well-developed.":[28],"This":[29],"technical":[30],"note":[31],"presents":[32],"a":[33,47,60,69],"set":[34],"conditions":[36,78],"establishing":[38],"delay-independent":[39],"and":[41,76,92,94,104,124],"bounding":[42],"decay":[44,122,129],"rate":[45,123,130],"significant":[48],"class":[49],"which":[54],"includes":[55],"as":[59],"special":[61],"case.":[62],"Specifically,":[63],"when":[64],"have":[68],"known":[70],"upper":[71],"bound,":[72],"we":[73,146],"derive":[74],"necessary":[75],"sufficient":[77],"exponential":[80],"of:":[82],"a)":[83],"continuous-time":[84],"whose":[87,99],"vector":[88,100],"fields":[89,101],"are":[90,102],"homogeneous":[91,103],"cooperative":[93],"b)":[95],"discrete-time":[96],"order-preserving.":[105],"We":[106],"then":[107],"present":[108],"explicit":[109],"expressions":[110],"that":[111,126,135],"allow":[112],"us":[113],"to":[114,150],"quantify":[115],"impact":[117],"on":[120],"show":[125],"best":[128],"our":[136],"bounds":[137],"provide":[138],"can":[139],"be":[140],"found":[141],"via":[142],"convex":[143],"optimization.":[144],"Finally,":[145],"extend":[147],"results":[149],"general":[151],"with":[154],"time-varying":[155],"delays.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2016-06-24T00:00:00"}