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。 The stability analysis of discrete time-delay systems is studied. A new Lyapunov function type and a new inequality scaling method are designed. By applying the combination of time-delay segment and inverse convexity, some improved Criteria of Delay-dependent Stability Criteria. The new stability criterion does not apply the model transformation and the free-weight matrix, and the obtained result is less conservative. It proves theoretically that the obtained condition of stability judgment has less conservative than the existing conclusion. Numerical examples illustrate the feasibility and effectiveness of the proposed method.