{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T10:43:20Z","timestamp":1774003400279,"version":"3.50.1"},"reference-count":47,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20240009"],"award-info":[{"award-number":["BK20240009"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62373105"],"award-info":[{"award-number":["62373105"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,8]]},"DOI":"10.1016\/j.cnsns.2026.109862","type":"journal-article","created":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T16:39:09Z","timestamp":1771519149000},"page":"109862","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Event-triggered impulsive stabilization of nonlinear delayed systems with application to network synchronization"],"prefix":"10.1016","volume":"159","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-3681-7762","authenticated-orcid":false,"given":"Yuhan","family":"Sun","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4423-6034","authenticated-orcid":false,"given":"Jianquan","family":"Lu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4102-8494","authenticated-orcid":false,"given":"Mengping","family":"Xing","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3776-9070","authenticated-orcid":false,"given":"Qihua","family":"Ruan","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5325-0404","authenticated-orcid":false,"given":"Jungang","family":"Lou","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.cnsns.2026.109862_bib0001","first-page":"163","article-title":"Stability results for impulsive differential systems with applications to population growth models","volume":"9","author":"Liu","year":"1994","journal-title":"Dyn Stab Syst"},{"issue":"9","key":"10.1016\/j.cnsns.2026.109862_bib0002","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1016\/j.automatica.2005.04.012","article-title":"Impulsively synchronizing chaotic systems with delay and applications to secure communication","volume":"41","author":"Khadra","year":"2005","journal-title":"Automatica"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109862_bib0003","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1109\/TCST.2018.2861410","article-title":"Optimal impulsive control with application to antiangiogenic tumor therapy","volume":"28","author":"Cacace","year":"2018","journal-title":"IEEE Trans Control Syst Technol"},{"key":"10.1016\/j.cnsns.2026.109862_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.neunet.2024.106691","article-title":"Secure impulsive tracking of multi-agent systems with directed hypergraph topologies against hybrid deception attacks","volume":"180","author":"Yang","year":"2024","journal-title":"Neural Netw"},{"key":"10.1016\/j.cnsns.2026.109862_bib0005","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2019.104862","article-title":"Some recent results of analysis and control for impulsive systems","volume":"80","author":"Wang","year":"2020","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.109862_bib0006","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.ins.2020.10.064","article-title":"Effects of heterogeneous impulses on synchronization of complex-valued neural networks with mixed time-varying delays","volume":"551","author":"Kumar","year":"2021","journal-title":"Inf Sci"},{"issue":"7","key":"10.1016\/j.cnsns.2026.109862_bib0007","doi-asserted-by":"crossref","first-page":"3164","DOI":"10.1016\/j.jfranklin.2022.02.016","article-title":"Fixed-time stability of dynamical systems with impulsive effects","volume":"359","author":"Jamal","year":"2022","journal-title":"J Franklin Inst"},{"issue":"4","key":"10.1016\/j.cnsns.2026.109862_bib0008","doi-asserted-by":"crossref","first-page":"267","DOI":"10.3934\/mmc.2023023","article-title":"Impulsive control for stationary oscillation of nonlinear delay systems and applications","volume":"3","author":"Li","year":"2023","journal-title":"Math Model Control"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109862_bib0009","doi-asserted-by":"crossref","first-page":"17","DOI":"10.3934\/mmc.2024003","article-title":"Synchronization for discrete coupled fuzzy neural networks with uncertain information via observer-based impulsive control","volume":"4","author":"Zhou","year":"2024","journal-title":"Math Model Control"},{"key":"10.1016\/j.cnsns.2026.109862_bib0010","doi-asserted-by":"crossref","DOI":"10.1016\/j.nahs.2023.101417","article-title":"Lyapunov-based stability of time-triggered impulsive logical dynamic networks","volume":"51","author":"Ding","year":"2024","journal-title":"Nonlinear Anal Hybrid Syst"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109862_bib0011","doi-asserted-by":"crossref","first-page":"71","DOI":"10.3934\/mmc.2024007","article-title":"Finite-time lag synchronization for two-layer complex networks with impulsive effects","volume":"4","author":"Chu","year":"2024","journal-title":"Math Model Control"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109862_bib0012","doi-asserted-by":"crossref","first-page":"164","DOI":"10.3934\/mmc.2025012","article-title":"Exponential synchronization of fractional order fuzzy memristor neural networks with time-varying delays and impulses","volume":"5","author":"Wang","year":"2025","journal-title":"Math Model Control"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109862_bib0013","doi-asserted-by":"crossref","first-page":"3856","DOI":"10.1137\/24M1637635","article-title":"Fixed-time stability for nonlinear systems with large delayed impulses: delayed impulsive sequence decomposition","volume":"63","author":"Wang","year":"2025","journal-title":"SIAM J Control Optim"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109862_bib0014","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1109\/TAC.2016.2639819","article-title":"Sufficient stability conditions of nonlinear differential systems under impulsive control with state-dependent delay","volume":"63","author":"Li","year":"2016","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.109862_bib0015","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1016\/j.neunet.2019.09.019","article-title":"Synchronization in an array of coupled neural networks with delayed impulses: average impulsive delay method","volume":"121","author":"Jiang","year":"2020","journal-title":"Neural Netw"},{"key":"10.1016\/j.cnsns.2026.109862_bib0016","doi-asserted-by":"crossref","DOI":"10.1016\/j.nahs.2021.101148","article-title":"Network synchronization under distributed delayed impulsive control: average delayed impulsive weight approach","volume":"44","author":"Ji","year":"2022","journal-title":"Nonlinear Anal Hybrid Syst"},{"key":"10.1016\/j.cnsns.2026.109862_bib0017","doi-asserted-by":"crossref","first-page":"576","DOI":"10.1016\/j.neunet.2023.05.011","article-title":"Input-to-state stability of positive delayed neural networks via impulsive control","volume":"164","author":"Chen","year":"2023","journal-title":"Neural Netw"},{"issue":"9","key":"10.1016\/j.cnsns.2026.109862_bib0018","doi-asserted-by":"crossref","first-page":"3112","DOI":"10.1109\/TSMC.2020.3010825","article-title":"Dynamic event-triggered distributed coordination control and its applications: a survey of trends and techniques","volume":"50","author":"Ge","year":"2020","journal-title":"IEEE Trans Syst Man, Cybern, Syst"},{"issue":"11","key":"10.1016\/j.cnsns.2026.109862_bib0019","doi-asserted-by":"crossref","first-page":"4908","DOI":"10.1109\/TAC.2020.2964558","article-title":"Lyapunov stability for impulsive systems via event-triggered impulsive control","volume":"65","author":"Li","year":"2020","journal-title":"IEEE Trans Autom Control"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109862_bib0020","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1109\/TAC.2022.3142127","article-title":"Event-triggered impulsive control for nonlinear systems with actuation delays","volume":"68","author":"Zhang","year":"2022","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"10.1016\/j.cnsns.2026.109862_bib0021","doi-asserted-by":"crossref","first-page":"2116","DOI":"10.1109\/TAC.2021.3108123","article-title":"Event-triggered impulsive stabilization of systems with external disturbances","volume":"67","author":"Jiang","year":"2021","journal-title":"IEEE Trans Autom Control"},{"issue":"3","key":"10.1016\/j.cnsns.2026.109862_bib0022","doi-asserted-by":"crossref","first-page":"792","DOI":"10.1109\/TCYB.2017.2786474","article-title":"Consensus of leader-following multiagent systems: a distributed event-triggered impulsive control strategy","volume":"49","author":"Tan","year":"2018","journal-title":"IEEE Trans Cybern"},{"key":"10.1016\/j.cnsns.2026.109862_bib0023","first-page":"322","article-title":"Event-triggered impulsive control design for synchronization of inertial neural networks with time delays","volume":"483","author":"Shanmugasundaram","year":"2022","journal-title":"Nature Commun"},{"issue":"9","key":"10.1016\/j.cnsns.2026.109862_bib0024","doi-asserted-by":"crossref","first-page":"1167","DOI":"10.1049\/iet-cta.2017.0820","article-title":"Stabilisation to input-to-state stability for continuous-time dynamical systems via event-triggered impulsive control with three levels of events","volume":"12","author":"Liu","year":"2018","journal-title":"IET Control Theory Appl"},{"key":"10.1016\/j.cnsns.2026.109862_bib0025","article-title":"Event-triggered impulsive control for nonlinear delay systems","volume":"117","author":"Li","year":"2020","journal-title":"Automatica"},{"key":"10.1016\/j.cnsns.2026.109862_bib0026","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.apm.2022.10.015","article-title":"Event-triggered impulsive controller design for synchronization of delayed chaotic neural networks and its fractal reconstruction: an application to image encryption","volume":"115","author":"Mohanrasu","year":"2023","journal-title":"Appl Math Model"},{"issue":"8","key":"10.1016\/j.cnsns.2026.109862_bib0027","doi-asserted-by":"crossref","first-page":"7805","DOI":"10.1109\/TCYB.2021.3052166","article-title":"Event-triggered impulsive control for nonlinear stochastic systems","volume":"52","author":"Hu","year":"2021","journal-title":"IEEE Trans Cybern"},{"issue":"11","key":"10.1016\/j.cnsns.2026.109862_bib0028","doi-asserted-by":"crossref","first-page":"5269","DOI":"10.1109\/TCYB.2020.2974315","article-title":"Synchronization analysis for complex dynamical networks with coupling delay via event-triggered delayed impulsive control","volume":"51","author":"Lv","year":"2020","journal-title":"IEEE Trans Cybern"},{"key":"10.1016\/j.cnsns.2026.109862_bib0029","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/j.neunet.2022.03.007","article-title":"Event-triggered delayed impulsive control for nonlinear systems with application to complex neural networks","volume":"150","author":"Wang","year":"2022","journal-title":"Neural Netw"},{"issue":"8","key":"10.1016\/j.cnsns.2026.109862_bib0030","doi-asserted-by":"crossref","first-page":"4277","DOI":"10.1016\/j.jfranklin.2021.03.021","article-title":"Event-triggered delayed impulsive control for nonlinear systems with applications","volume":"358","author":"Wang","year":"2021","journal-title":"J Franklin Inst"},{"key":"10.1016\/j.cnsns.2026.109862_bib0031","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.apm.2023.01.013","article-title":"Stability of impulsive dynamical networks with different impulse time sequences and application to event-triggered impulsive control","volume":"118","author":"Liu","year":"2023","journal-title":"Appl Math Model"},{"key":"10.1016\/j.cnsns.2026.109862_bib0032","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.114067","article-title":"Event-triggered impulsive control for multi-agent systems with actuation delay and continuous\/periodic sampling","volume":"175","author":"Xie","year":"2023","journal-title":"Chaos, Soliton Fract"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109862_bib0033","doi-asserted-by":"crossref","first-page":"1168","DOI":"10.1109\/TSMC.2023.3326830","article-title":"A self-triggered impulsive approach to group consensus of MASs with sensing\/actuation delays","volume":"54","author":"Xie","year":"2023","journal-title":"IEEE Trans Syst Man, Cybern, Syst"},{"key":"10.1016\/j.cnsns.2026.109862_bib0034","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2024.108305","article-title":"Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks","volume":"140","author":"Xu","year":"2025","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109862_bib0035","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/j.automatica.2009.10.006","article-title":"Global stabilization of complex networks with digraph topologies via a local pinning algorithm","volume":"46","author":"Lu","year":"2010","journal-title":"Automatica"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109862_bib0036","first-page":"285","article-title":"Synchronization control for nonlinear stochastic dynamical networks: pinning impulsive strategy","volume":"23","author":"Lu","year":"2011","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109862_bib0037","first-page":"3091","article-title":"Pinning impulsive synchronization of complex dynamical networks: a stabilizing delay perspective","volume":"71","author":"Ji","year":"2024","journal-title":"IEEE Trans Circuits Syst II, Exp Briefs"},{"key":"10.1016\/j.cnsns.2026.109862_bib0038","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2023.107499","article-title":"Static pinning synchronization in dynamical networks with event-triggered coupling: average delayed impulsive weight approach","volume":"126","author":"Zhang","year":"2023","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109862_bib0039","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1049\/cth2.12601","article-title":"Event-triggered delayed impulsive control for quasi-synchronization of complex dynamic systems with packet loss and parameter mismatch","volume":"18","author":"Li","year":"2024","journal-title":"IET Control Theory Appl"},{"issue":"1\u20134","key":"10.1016\/j.cnsns.2026.109862_bib0040","first-page":"579","article-title":"Existence and uniqueness results for impulsive delay differential equations","volume":"5","author":"Ballinger","year":"1999","journal-title":"Dyn Contin Discrete Impuls Syst"},{"key":"10.1016\/j.cnsns.2026.109862_bib0041","series-title":"Impulsive control theory","author":"Yang","year":"2002"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109862_bib0042","doi-asserted-by":"crossref","first-page":"1716","DOI":"10.1109\/TAC.2014.2361593","article-title":"Trajectory based approach for the stability analysis of nonlinear systems with time delays","volume":"60","author":"Mazenc","year":"2014","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.109862_bib0043","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.automatica.2016.04.048","article-title":"Razumikhin and Krasovskii stability theorems for time-varying time-delay systems","volume":"71","author":"Zhou","year":"2016","journal-title":"Automatica"},{"issue":"12","key":"10.1016\/j.cnsns.2026.109862_bib0044","doi-asserted-by":"crossref","first-page":"5207","DOI":"10.1109\/TAC.2019.2911182","article-title":"Some improved Razumikhin stability criteria for impulsive stochastic delay differential systems","volume":"64","author":"Hu","year":"2019","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.109862_bib0045","series-title":"Synchronization in complex networks of nonlinear dynamical systems","author":"Wu","year":"2007"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109862_bib0046","doi-asserted-by":"crossref","first-page":"7332","DOI":"10.1103\/PhysRevE.60.7332","article-title":"Scaling and percolation in the small-world network model","volume":"60","author":"Newman","year":"1999","journal-title":"Phys Rev E"},{"issue":"11","key":"10.1016\/j.cnsns.2026.109862_bib0047","doi-asserted-by":"crossref","first-page":"6481","DOI":"10.1002\/rnc.6706","article-title":"Effect of large delay on pinning impulsive synchronization control: a strict comparison principle","volume":"33","author":"Ji","year":"2023","journal-title":"Int J Robust Nonlinear Control"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426002224?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426002224?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T08:23:34Z","timestamp":1773995014000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426002224"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8]]},"references-count":47,"alternative-id":["S1007570426002224"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109862","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Event-triggered impulsive stabilization of nonlinear delayed systems with application to network synchronization","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109862","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"109862"}}