{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:55Z","timestamp":1754157415938,"version":"3.41.2"},"reference-count":17,"publisher":"Emerald","issue":"7\/8","license":[{"start":{"date-parts":[[2009,8,7]],"date-time":"2009-08-07T00:00:00Z","timestamp":1249603200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,8,7]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to provide a parametric description (parametrization) of all static output feedback stabilizing controllers for linear stochastic discrete\u2010time systems with Markovian switching, applications of this result to simultaneous and robust stabilization problems and obtaining of algorithms for computing stabilizing gains.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>The proposed approach presents parameterization in terms of coupled linear matrix equations and quadratic matrix inequalities which depend on parameter matrices similar to weight matrices in linear quadratic regulator (LQR) theory. To avoid implementation problems, a convex approximation technique is used and linear matrix inequalities (LMI)\u2010based algorithms are obtained for computing of stabilizing gain.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The algorithms obtained in this paper are non\u2010iterative and used computationally efficient LMI technique. Moreover, it is possible to use well\u2010known LQR methodology in the process of controller design.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>As a result of this paper, a new unified approach to design of static output feedback stabilizing control is developed. This approach leads to efficient stabilizing gain computation algorithms for both stochastic systems with Markovian switching and deterministic systems with polytopic uncertainty.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910976853","type":"journal-article","created":{"date-parts":[[2009,10,5]],"date-time":"2009-10-05T10:50:46Z","timestamp":1254739846000},"page":"1106-1120","source":"Crossref","is-referenced-by-count":1,"title":["Parametrization of static output feedback controllers for Markovian switching systems and related robust control problems"],"prefix":"10.1108","volume":"38","author":[{"given":"Pavel","family":"Pakshin","sequence":"first","affiliation":[]},{"given":"Sergey","family":"Soloviev","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"key":"key2022012920470690800_b1","doi-asserted-by":"crossref","unstructured":"Ait Rami, M. and El Ghaoui, L. 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