{"doi":"10.1111/j.1934-6093.2001.tb00056.x","title":"Stability of Linear Systems With Time‐Varying Delay: a Generalized Discretized Lyapunov Functional Approach","abstract":"<jats:title>ABSTRACT</jats:title><jats:p>This paper investigates the stability of linear uncertain systems with time‐varying delay. Stability criteria are derived based on a generalized discretized Lyapunov functional approach. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. The stability conditions are written in the form of linear matrix inequalities. Numerical examples indicate significant improvements over the existing results.</jats:p>","journal":"Asian Journal of Control","year":2001,"id":22146,"datarank":5.812408987443133,"base_score":4.543294782270004,"endowment":4.543294782270004,"self_citation_contribution":0.6814942173405006,"citation_network_contribution":5.130914770102632,"self_endowment_contribution":0.6814942173405006,"citer_contribution":5.130914770102632,"corpus_percentile":null,"corpus_rank":null,"citation_count":93,"citer_count":77,"citers_with_citation_signal":64,"citers_with_endowment":64,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":140232,"name":"Keqin Gu","orcid":null,"position":1,"is_corresponding":false},{"id":140231,"name":"Qing‐Long Han","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":4.543294782270004,"endowment":4.543294782270004,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21071399","pmcid":null,"openalex_id":"https://openalex.org/W2115478134","authors":[],"funders":[],"total_grants":0,"fwci":2.2755,"citation_percentile":0.891457,"influential_citations":3,"citation_trend":[{"year":2012,"count":12},{"year":2013,"count":10},{"year":2014,"count":5},{"year":2015,"count":5},{"year":2017,"count":2},{"year":2018,"count":2},{"year":2019,"count":1},{"year":2021,"count":1},{"year":2022,"count":1},{"year":2023,"count":1}],"oa_status":"green","license":"cc-by","oa_locations":[{"url":"https://figshare.com/articles/journal_contribution/Stability_of_linear_systems_with_time-varying_delay_a_generalized_discretized_Lyapunov_functional_approach/13461911","host_type":"repository"},{"url":"https://figshare.com/articles/journal_contribution/Stability_of_linear_systems_with_time-varying_delay_a_generalized_discretized_Lyapunov_functional_approach/13461911","host_type":"repository"},{"url":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1111%2Fj.1934-6093.2001.tb00056.x","host_type":"publisher"},{"url":"https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1934-6093.2001.tb00056.x","host_type":"publisher"},{"url":"https://doi.org/10.1111/j.1934-6093.2001.tb00056.x","host_type":"journal"},{"url":"http://hdl.cqu.edu.au/10018/59903","host_type":"repository"}],"fields_of_study":["Stability and Control of Uncertain Systems","Matrix Theory and Algorithms","Neural Networks Stability and Synchronization","Mathematics","Engineering"],"mesh_terms":[],"keywords":["Discretization","Mathematics","Stability (learning theory)","Lyapunov function","Piecewise linear function","Control theory (sociology)","Piecewise","Linear matrix inequality","Lyapunov equation","Linear system","Applied mathematics","Lyapunov redesign","Kernel (algebra)","Stability conditions","Mathematical optimization","Nonlinear system","Computer science","Mathematical analysis","Control (management)","Discrete time and continuous time"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-06T18:03:48.393633Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}