Journal
AUTOMATICA
Volume 43, Issue 10, Pages 1799-1807Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2007.03.005
Keywords
delay system; exponential stability; input delay; Markovian jump system; robust stabilization
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This paper is concerned with the problem of exponential stabilization for uncertain linear systems with Markovian jump parameters and mode-dependent input delays. Sufficient stabilization conditions are developed in terms of matrix inequalities, which can be solved by a proposed iterative algorithm based on the cone complementarity linearization (CCL) method. Memory controllers are also designed such that the closed-loop system is exponentially mean-square stable for all admissible uncertainties. Numerical examples are given to show that the developed method is efficient and less conservative. (c) 2007 Elsevier Ltd. All rights reserved.
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