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研究了一类同时具有离散与分布时滞的不确定中立型系统的鲁棒稳定性问题.基于时滞分割思想,通过构造一类特殊的Lyapunov-Krasovskii泛函,并利用Jensen不等式,建立了线性矩阵不等式形式的时滞相关鲁棒稳定性新判据.该方法不涉及模型变换与自由权矩阵技术,减少了理论与计算上的复杂性;同时允许中立时滞项的系数矩阵存在时变不确定性,增强了系统的鲁棒性能.数值算例表明了所得结论的有效性和更低的保守性.
The robust stability problem for a class of uncertain neutral systems with both discrete and distributed delays is studied. Based on the idea of time-delay partitioning, a special kind of Lyapunov-Krasovskii functional is constructed and Jensen’s inequality is used to establish a linear A New Criterion of Delay-dependent Robust Stability in the Form of Matrix Inequality This method does not involve model transformation and free-weights matrix technique, which reduces the complexity of theory and computation. Meanwhile, Certainty enhances the robustness of the system.The numerical examples show the validity of the conclusions and lower conservativeness.