{"id":"https://openalex.org/W2726993568","doi":"https://doi.org/10.1109/tac.2017.2720972","title":"Stability Analysis of Nonlinear Time-Delay Systems Using a Novel Piecewise Positive Systems Method","display_name":"Stability Analysis of Nonlinear Time-Delay Systems Using a Novel Piecewise Positive Systems Method","publication_year":2017,"publication_date":"2017-06-28","ids":{"openalex":"https://openalex.org/W2726993568","doi":"https://doi.org/10.1109/tac.2017.2720972","mag":"2726993568"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2720972","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2720972","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":"https://figshare.com/articles/journal_contribution/Stability_analysis_of_nonlinear_time-delay_systems_using_a_novel_piecewise_positive_systems_method/20837074","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077573795","display_name":"Phan Th\u00e0nh Nam","orcid":"https://orcid.org/0000-0002-3730-8864"},"institutions":[{"id":"https://openalex.org/I4210137358","display_name":"Quy Nhon University","ror":"https://ror.org/04h4y6q56","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210137358"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Phan Thanh Nam","raw_affiliation_strings":["Department of Mathematics, Quynhon University, Qui Nhon, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quynhon University, Qui Nhon, Vietnam","institution_ids":["https://openalex.org/I4210137358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068077014","display_name":"Hieu Trinh","orcid":"https://orcid.org/0000-0003-3438-9969"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Hieu Trinh","raw_affiliation_strings":["School of Engineering, Deakin University, Geelong, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0003-3438-9969","affiliations":[{"raw_affiliation_string":"School of Engineering, Deakin University, Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037113249","display_name":"Pubudu N. Pathirana","orcid":"https://orcid.org/0000-0001-8014-7798"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Pubudu Nishantha Pathirana","raw_affiliation_strings":["School of Engineering, Deakin University, Geelong, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Deakin University, Geelong, VIC, Australia","institution_ids":["https://openalex.org/I149704539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064061692","display_name":"Vu N. Phat","orcid":"https://orcid.org/0000-0001-9467-6674"},"institutions":[{"id":"https://openalex.org/I4210148301","display_name":"Institute of Mathematics","ror":"https://ror.org/04jr71r83","country_code":"VN","type":"facility","lineage":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]},{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Vu Ngoc Phat","raw_affiliation_strings":["Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210148301","https://openalex.org/I70349855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7806,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.72260879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":"1","first_page":"291","last_page":"297"},"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":0.9961000084877014,"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":0.9961000084877014,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.786335825920105},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7406296730041504},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7028498649597168},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6913217306137085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49946045875549316},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.42015600204467773},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.4153786301612854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38838014006614685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3696678876876831},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.3410184383392334},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12948748469352722},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11026597023010254},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04706129431724548}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.786335825920105},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7406296730041504},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7028498649597168},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6913217306137085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49946045875549316},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.42015600204467773},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.4153786301612854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38838014006614685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3696678876876831},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3410184383392334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12948748469352722},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11026597023010254},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04706129431724548},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2017.2720972","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2720972","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:dro.deakin.edu.au:DU:30098024","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402457","display_name":"Deakin Research Online (Deakin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149704539","host_organization_name":"Deakin University","host_organization_lineage":["https://openalex.org/I149704539"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:figshare.com:article/20837074","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Stability_analysis_of_nonlinear_time-delay_systems_using_a_novel_piecewise_positive_systems_method/20837074","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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:figshare.com:article/20837074","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Stability_analysis_of_nonlinear_time-delay_systems_using_a_novel_piecewise_positive_systems_method/20837074","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":[{"id":"https://openalex.org/G2439777188","display_name":"Functional state observers for large-scale interconnected systems","funder_award_id":"DP130101532","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G3606558289","display_name":"M\u00f4\u0323t s\u00f4\u0301 ba\u0300i toa\u0301n cho\u0323n lo\u0323c trong ly\u0301 thuy\u00ea\u0301t \u0111i\u00ea\u0300u khi\u00ea\u0309n va\u0300 \u00f4\u0309n \u0111\u1ecbnh h\u00ea\u0323 ph\u01b0\u01a1ng tri\u0300nh ph\u00e2n th\u01b0\u0301 va\u0300 suy bi\u00ea\u0301n co\u0301 tr\u00ea\u0303","funder_award_id":"101.01-2017.300","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W1973030378","https://openalex.org/W2003475472","https://openalex.org/W2022780534","https://openalex.org/W2038109870","https://openalex.org/W2062910972","https://openalex.org/W2077430489","https://openalex.org/W2087442520","https://openalex.org/W2129681350","https://openalex.org/W2130600355","https://openalex.org/W2200716802","https://openalex.org/W2291387600","https://openalex.org/W2326294023","https://openalex.org/W2403489772"],"related_works":["https://openalex.org/W1996862231","https://openalex.org/W1850593173","https://openalex.org/W2124623210","https://openalex.org/W2086268041","https://openalex.org/W1481487508","https://openalex.org/W1970973520","https://openalex.org/W4232625222","https://openalex.org/W2049124160","https://openalex.org/W2962472260","https://openalex.org/W1524347954"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2],"method":[3],"that":[4],"uses":[5],"piecewise":[6],"positive":[7],"comparison":[8],"systems":[9,17],"to":[10,33],"analyze":[11],"the":[12,35],"stability":[13,23],"of":[14,37],"nonlinear":[15],"differential":[16],"with":[18],"time-varying":[19],"delays.":[20],"A":[21],"new":[22],"criterion":[24],"is":[25],"provided":[26],"and":[27],"two":[28],"numerical":[29],"examples":[30],"are":[31],"given":[32],"demonstrate":[34],"advantages":[36],"our":[38],"obtained":[39],"result.":[40]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}