Admissibility analysis of fuzzy singular systems with interval-like time-delay

This paper is concerned with the problem of admissibility analysis of Takagi-Sugeno fuzzy singular systems with time-varying delay. The time-delay is assumed to be available online and interval-like type. Based on delay partitioning technique and the free-weighting-matrix approach combined with the constructed parameter dependent Lyapunov-Krasovskii functional, a sufficient condition is obtained such that the system is regular, impulse-free and asymptotically stable. All obtained conditions are dependent on time-delay and partitioning number. These conditions are formulated in the form of Linear Matrix Inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories.