{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:24Z","timestamp":1740134544557,"version":"3.37.3"},"reference-count":33,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Office of Agricultural Research and Extension Maejo University"},{"DOI":"10.13039\/501100004396","name":"Thailand Research Fund","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004396","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Higher Education Commission"},{"DOI":"10.13039\/501100010723","name":"Faculty of Science, Maejo University, Thailand","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100010723","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Center of Excellence in Mathematics, Thailand"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>This paper addresses the robust stability for a class of linear discrete-time stochastic systems with convex polytopic uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic type uncertainties. Based on the augmented parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent conditions for the robust stability are established in terms of linear matrix inequalities. An application to robust stabilization of linear discrete-time stochastic control systems is given. 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