4.7 Article

Delay-dependent robust stability of uncertain fuzzy large-scale systems with time-varying delays

Journal

AUTOMATICA
Volume 44, Issue 1, Pages 193-198

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2007.05.001

Keywords

Lyapunov-Krasovskii functional; fuzzy large-scale system; uncertainty; time-varying delay; Takagi-Sugeno fuzzy model

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This paper addresses the stability problem of fuzzy large-scale systems (FLSSs) with uncertainties and arbitrary time-varying delays. The stability conditions, which are less conservative and more applicable than the existing results, are derived by a novel Lyapunov-Krasovskii functional method and expressed in terms of linear matrix inequalities (LMIs). Two examples are given to demonstrate the correctness and advantage of our theoretical results. (C) 2007 Elsevier Ltd. All rights reserved.

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