{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T20:42:54Z","timestamp":1769028174593,"version":"3.49.0"},"reference-count":0,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012,12,28]]},"abstract":"<jats:p>This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed <jats:italic>\u03b1<\/jats:italic>-convergence rate. The design of an observerbased output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.<\/jats:p>","DOI":"10.2478\/v10006-012-0068-8","type":"journal-article","created":{"date-parts":[[2013,2,13]],"date-time":"2013-02-13T15:21:01Z","timestamp":1360768861000},"page":"921-927","source":"Crossref","is-referenced-by-count":15,"title":["Observer-based controller design of time-delay systems with an interval time-varying delay"],"prefix":"10.61822","volume":"22","author":[{"given":"Mai Viet","family":"Thuan","sequence":"first","affiliation":[]},{"given":"Vu Ngoc","family":"Phat","sequence":"additional","affiliation":[]},{"given":"Hieu","family":"Trinh","sequence":"additional","affiliation":[]}],"member":"37438","container-title":["International Journal of Applied Mathematics and Computer Science"],"original-title":[],"link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/amcs\/22\/4\/article-p921.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/view\/j\/amcs.2012.22.issue-4\/v10006-012-0068-8\/v10006-012-0068-8.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:28:04Z","timestamp":1709202484000},"score":1,"resource":{"primary":{"URL":"https:\/\/content.sciendo.com\/doi\/10.2478\/v10006-012-0068-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12,28]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.2478\/v10006-012-0068-8","relation":{},"ISSN":["2083-8492","1641-876X"],"issn-type":[{"value":"2083-8492","type":"electronic"},{"value":"1641-876X","type":"print"}],"subject":[],"published":{"date-parts":[[2012,12,28]]}}}