中文摘要：

对离散时滞系统的稳定性分析进行了研究,设计了一个新的李雅普诺夫函数类型和一个新的不等式放缩方法,应用了时滞分段和反向凸组合技术,得到了一些改进的时滞相关稳定性判据条件。新的稳定性判据的得到并没有应用模型转换和自由权矩阵,所得到的结果具有更小的保守性。理论上证明了所得到的稳定性判定条件比现有的结论拥有更小的保守性。数值例子阐述了提出方法的可行性与有效性。

英文摘要：

This paper is associated with the stability analysis of discrete systems with time-varying delay. Some improved delay-dependent stability results are established by using a new approach, the highlights of the approach encompassing the employment of a new type of Lyapunov-Krasovskii funetional, the application of a new relaxed inequality, the using of a delay partitioning approach and reciprocally convex combine technique. Then, a new stability criterion is derived in system analysis without applying either model transformation or free weighting matrices. All the criteria have less conservatism than existing results. One example are given to demonstrate the effectiveness of the proposed approach.