Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
694429 | Acta Automatica Sinica | 2010 | 5 Pages |
Abstract
This paper discusses the problem of exponential mean-square stability analysis for delayed systems with Markovian switching. A mode-dependent Lyapunov-Krasovskii functional taking a rather general form is used. The statistical property of Markov process is used to derive the differential of the functional. Considering this and applying the free-weighting matrix technique, a new stability criterion is obtained by means of linear matrix inequalities. The effectiveness of the proposed result is numerically demonstrated by examples provided finally.
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