A novel stability criterion for fuzzy hyperbolic time-delay system based on dynamic delay partitioning approach

In this paper, a new method, namely, the dynamic delay partitioning method, is firstly developed to solve the problems of stability analysis for fuzzy hyperbolic time-delay systems. Different from previous results, the delay interval [0, τ] is partitioned into some variable subintervals by employing dynamic delay partitioning method. Thus, new delay-dependent stability criteria for fuzzy hyperbolic time-delay systems is derived by applying this dynamic delay partitioning method, which is less conservative than previous results. The stability result is further extended to fuzzy time-delay systems with time-varying parameter uncertainties. Two examples are provided to demonstrate the effectiveness for conservatism reduction.

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