离散广义时滞系统的时滞依赖稳定性分析

讨论离散广义时滞系统的稳定性问题. 在不使用系统分解和等价转换的情况下, 利用线性矩阵不等式方法, 给出保证系统正则、因果和稳定的时滞依赖条件. 与已有的方法相比, 本文的方法更加充分地利用时滞的信息, 因此所得结果具有较小的保守性. 数值例子说明本文结果的有效性.

Delay-dependent Stability Analysis for Discrete Singular Systems with Time-varying Delays

This paper studies the problem of stability analysis for discrete singular time delay systems. Without resorting to the decomposition and equivalent transformation of the considered system, some new delay-dependent criteria are established for the considered systems to be regular, causal, and stable in terms of linear matrix inequality (LMI) approach. The obtained criteria are less conservative, because the technique used in this paper makes more use of the information on the involved time-varying delays than the existing techniques do. A numerical example is given to illustrate the effectiveness and the benefits of the proposed methods.