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In this paper, the admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay are studied based on the asymmetric Lyapunov–Krasovskii functional method. The criteria for admissibility analysis and stabilisation are given by using linear matrix inequality, and the conservatism is reduced by combining the membership-function-dependent method. Finally, three examples are given to verify the advantages of the method.

Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay