{"id":"https://openalex.org/W4327697880","doi":"https://doi.org/10.1093/imamci/dnad003","title":"Exponential state estimate of positive systems with time-varying delays: a Lyapunov\u2013Razumikhin approach","display_name":"Exponential state estimate of positive systems with time-varying delays: a Lyapunov\u2013Razumikhin approach","publication_year":2023,"publication_date":"2023-03-17","ids":{"openalex":"https://openalex.org/W4327697880","doi":"https://doi.org/10.1093/imamci/dnad003"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnad003","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/imamci/dnad003","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053176733","display_name":"Tran Ngoc Nguyen","orcid":"https://orcid.org/0000-0001-6281-9781"},"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":true,"raw_author_name":"Tran Ngoc Nguyen","raw_affiliation_strings":["Quy Nhon University Department of Mathematics and Statistics, , Quy Nhon, Binh Dinh, Vietnam"],"affiliations":[{"raw_affiliation_string":"Quy Nhon University Department of Mathematics and Statistics, , Quy Nhon, Binh Dinh, Vietnam","institution_ids":["https://openalex.org/I4210137358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053176733"],"corresponding_institution_ids":["https://openalex.org/I4210137358"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.3756,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55822841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"2","first_page":"135","last_page":"151"},"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":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7920333743095398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7025107145309448},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6711328029632568},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6130313873291016},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6119822263717651},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.5509714484214783},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4940105080604553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48824313282966614},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4828532338142395},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47000035643577576},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45623207092285156},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37392717599868774},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.26426881551742554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2370072305202484},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16447529196739197},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11700636148452759},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06024312973022461},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.03996461629867554}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7920333743095398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7025107145309448},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6711328029632568},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6130313873291016},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6119822263717651},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.5509714484214783},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4940105080604553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48824313282966614},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4828532338142395},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47000035643577576},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45623207092285156},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37392717599868774},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.26426881551742554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2370072305202484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16447529196739197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11700636148452759},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06024312973022461},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.03996461629867554},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnad003","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/imamci/dnad003","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W51039983","https://openalex.org/W1506119886","https://openalex.org/W1604304367","https://openalex.org/W1981140738","https://openalex.org/W1988098342","https://openalex.org/W2011635872","https://openalex.org/W2022780534","https://openalex.org/W2032626758","https://openalex.org/W2037372797","https://openalex.org/W2051591980","https://openalex.org/W2056703574","https://openalex.org/W2058702534","https://openalex.org/W2077430489","https://openalex.org/W2102922646","https://openalex.org/W2104299666","https://openalex.org/W2111976265","https://openalex.org/W2128195908","https://openalex.org/W2130600355","https://openalex.org/W2143994750","https://openalex.org/W2165716201","https://openalex.org/W2250434383","https://openalex.org/W2290625401","https://openalex.org/W2326294023","https://openalex.org/W2343318563","https://openalex.org/W2403489772","https://openalex.org/W2461888735","https://openalex.org/W2477915483","https://openalex.org/W2484865627","https://openalex.org/W2600488854","https://openalex.org/W2752574281","https://openalex.org/W2795223988","https://openalex.org/W2803412567","https://openalex.org/W2941988705","https://openalex.org/W2981787545","https://openalex.org/W3000495427","https://openalex.org/W3016436458","https://openalex.org/W3102877689","https://openalex.org/W3112593338","https://openalex.org/W3153887242","https://openalex.org/W3178034639","https://openalex.org/W3184052831","https://openalex.org/W3196656590","https://openalex.org/W4240729697","https://openalex.org/W4295016751","https://openalex.org/W4313372009","https://openalex.org/W6681210798","https://openalex.org/W6718984943","https://openalex.org/W6722213702"],"related_works":["https://openalex.org/W1634993130","https://openalex.org/W1602624896","https://openalex.org/W32300376","https://openalex.org/W1519862060","https://openalex.org/W1974979356","https://openalex.org/W2084061773","https://openalex.org/W2794917831","https://openalex.org/W2104564563","https://openalex.org/W2013108996","https://openalex.org/W3023224836"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"for":[4,20,31],"the":[5,32,54,71,82,85,93],"first":[6],"time,":[7],"a":[8],"linear":[9,86],"Lyapunov\u2013Razumikhin":[10,87],"function":[11,88],"is":[12,45],"introduced":[13],"to":[14,52,69,80],"find":[15,53,70],"an":[16],"$\\alpha$-exponential":[17,58],"state":[18,36,59],"estimate":[19],"positive":[21,39],"systems":[22,40],"with":[23,41],"time":[24],"delays.":[25],"A":[26],"new":[27],"set":[28],"of":[29,34,38,57,65,84,92],"conditions":[30],"existence":[33],"exponential":[35],"boundedness":[37],"bounded":[42],"time-varying":[43],"delays":[44],"established.":[46],"Two":[47],"procedures":[48],"are":[49,67,78],"then":[50],"proposed":[51],"factor":[55,74],"vector":[56],"estimate,":[60],"in":[61],"which":[62],"some":[63],"techniques":[64],"optimization":[66,94],"applied":[68],"smallest":[72],"possible":[73],"vector.":[75],"Numerical":[76],"experiments":[77],"presented":[79],"demonstrate":[81],"effectiveness":[83],"as":[89,91],"well":[90],"techniques.":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
