The problem of absolute stability for neutral Lurie systems with delay is investigated. Using Lyapunov-Krasovskii function method, two delay-dependent criterions for absolute stability of systems in infinite sector and finite sector are respectively given. The proposed condition is in terms of a linear matrix inequality (LMI)which can be easily solved by Matlab toolbox. An illustrative example shows that the condition obtained in this paper is less conservative than some existing criteria.%研究了具有时滞的中立型Lurie系统的鲁棒绝对稳定性问题.利用Lyapunov-Krasovskii泛函方法分别给出了系统在无限扇形及有限扇形角内绝对稳定的时滞相关充分条件,所给的判定条件是线性矩阵不等式(LMI)形式的,可以很方便地运用Matlab工具箱求解.应用实例表明,与现有的结果相比,本文所给条件具有较小的保守性.
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