{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T04:01:43Z","timestamp":1773028903343,"version":"3.50.1"},"reference-count":42,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2020,1,27]],"date-time":"2020-01-27T00:00:00Z","timestamp":1580083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2020,6]]},"abstract":"<jats:p> This paper investigates the robust stability analysis and state feedback controller design of networked control systems (NCSs). A stochastic network-induced delay in given interval with known lower and upper bounds is considered. Therefore, the NCS is modeled as linear system with probabilistic time-varying delay distribution. Then, the Lyapunov-Krasovskii functional (LKF) is formulated using probabilistic informations of both lower and upper bounds of the time-varying network-induced delay, and Wirtinger-based integral inequalities are used to estimate the accuracy of the resulting time derivatives and also to reduce conservatism by introducing some new cross terms. Afterwards, stability condition based on [Formula: see text] disturbance attenuation level is expressed in terms of a set of linear matrix inequalities (LMIs), and Finsler\u2019s lemma is used to relax it by adding slack decision variables and decoupling the systems matrices from those of Lyapunov-Krasovskii. This procedure makes the state feedback controller design as simple as a variables change. Finally, a maximum allowable upper bound of the network-induced delay and state feedback controller gains are calculated by resolving the above relaxed LMIs\u2019 convex optimization problem. Practical numerical examples are provided to validate the proposed approach; the results show that the negative effects of the unpredictable network-induced delays are compensated and the stability of NCSs with high disturbance attenuation level is guaranteed. A comparative study with other results in recent researches is also given and the superiority of the proposed method in terms of robustness and conservatism reduction is shown. <\/jats:p>","DOI":"10.1177\/0142331219895931","type":"journal-article","created":{"date-parts":[[2020,1,28]],"date-time":"2020-01-28T07:30:06Z","timestamp":1580196606000},"page":"1782-1796","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":28,"title":["Robust stability and stabilization of networked control systems with stochastic time-varying network-induced delays"],"prefix":"10.1177","volume":"42","author":[{"given":"Mohamed","family":"Rouamel","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, LAS Laboratory, 20 Ao\u00fbt 1955 University, Skikda, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0328-6561","authenticated-orcid":false,"given":"Sofiane","family":"Gherbi","sequence":"additional","affiliation":[{"name":"Department of Electronics, LASA Laboratory, Badji Mokhtar University, Annaba, Algeria"}]},{"given":"Fay\u00e7al","family":"Bourahala","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, LAS Laboratory, 20 Ao\u00fbt 1955 University, Skikda, 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