不确定离散奇异时滞系统的鲁棒稳定性

针对一类具有区间时变时滞和线性分式参数不确定性的离散奇异系统, 研究鲁棒稳定性问题。基于Lyapunov稳定性理论, 应用线性矩阵不等式方法, 给出不确定离散奇异时滞系统的新的时滞相关型稳定性准则。所给准则相比于已有一些结果, 包含较少的矩阵变量, 且具有较小的保守性。数值实例表明所得结果的有效性。

Robust Stability for Uncertain Discrete Singular Systems with Time Delay

The robust stability problem for discrete singular systems with interval time-varying delay and linear fractional uncertainty is discussed. Based on Lyapunov stability theory, a new delay-dependent robust stability criterion is established for the uncertain discrete singular delay systems by employing the linear matrix inequality approach. The developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, numerical examples are employed to illustrate the effectiveness of the obtained results.