研究了不确定奇异时滞系统的鲁棒稳定性问题。首先以线性矩阵不等式的形式给出了奇异时滞系统正则,无脉冲模且零解渐近稳定的一种新的时滞相关型判据。通过引入新的参数避免了利用不等式处理交叉项,从而使该判据具有较小的保守性。最后,利用研究结果,给出了两类不确定奇异时滞系统新的时滞相关型鲁棒稳定性判据。
The problem of robust stability of uncertain singular time-delay systems is studied. First, an improved delay-dependent asymptotic stability criterion for singular time-delay systems in terms of a strict linear matrix inequality (LMI) is investigated, New parameters are introduced to avoid using inequality to deal with cross terms. Therefore, the result is less conservative. Finally, based on the study result, the improved delaydependent robust stability conditions are obtained.