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Stabilization of a class of fuzzy bilinear descriptor systems with time-delay

This paper studies a class of T-S fuzzy bilinear descriptor systems (FBDSs) with time-delay. Firstly, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T-S FBDSs with time-delay. Secondly, sufficient conditions are derived for the stabilization problem in terms of linear matrix inequalities (LMIs). Finally, the feasibility and effectiveness of the proposed schemes are demonstrated by a numerical simulation.