{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:53:41Z","timestamp":1760784821156,"version":"3.37.3"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,3,25]],"date-time":"2020-03-25T00:00:00Z","timestamp":1585094400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573095","ZR2014FM019"],"award-info":[{"award-number":["61573095","ZR2014FM019"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["61573095","ZR2014FM019"],"award-info":[{"award-number":["61573095","ZR2014FM019"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,3,25]]},"abstract":"<jats:p>The stability problem of networked control system (NCS) with cyberattacks and processing delay is considered under an event-triggered scheme. An improved distributed event-triggered mechanism is proposed, which optimizes the performance of system dynamics and decreases the network transmission load simultaneously. By means of Bessel\u2013Legendre inequality method and constructing an active Lyapunov\u2013Krasovskii functional, a series of larger upper bounds of delay are obtained corresponding to the order of <jats:italic>N<\/jats:italic>. It is worth mentioning that the upper bound increases with <jats:italic>N<\/jats:italic>, which means that the conservatism of the stability criterion lowers. Finally, a distributed event-triggered controller is designed. The validity of the results is verified by numerical examples.<\/jats:p>","DOI":"10.1155\/2020\/1583286","type":"journal-article","created":{"date-parts":[[2020,3,25]],"date-time":"2020-03-25T23:30:23Z","timestamp":1585179023000},"page":"1-14","source":"Crossref","is-referenced-by-count":3,"title":["Improved Distributed Event-Triggered Control for Networked Control System under Random Cyberattacks via Bessel\u2013Legendre Inequalities"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4623-2152","authenticated-orcid":true,"given":"Hongqian","family":"Lu","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China"},{"name":"School of Engineering, Macquarie University, Sydney, NSW, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chaoqun","family":"Guo","sequence":"additional","affiliation":[{"name":"School of 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