多时滞中立型系统时滞相关稳定性分析(英文)

Delay-dependent Stability Criteria for Neutral Systems with Multiple Time-delays

讨论多时滞中立型系统的时滞相关稳定性。首先考虑了二维时滞中立型系统时滞相关稳定条件。通过引入自由权矩阵,描述了Leibniz-Newtow公式中各项间的关系。以线性矩阵不等式的形式给出了时滞相关稳定条件。数值例子说明所得结论比已有结果具有较小的保守性。最后将这一标准推广到多时滞中立型系统。

The delay-dependent robust stability for the neutral systems with multiple time-delays is investigated. First,A new delay-dependent stability criterion for two time delays is derived. In which some free-weighting matrices are employed to describe the relationships among the terms in the Leibniz-Newton formula. In addition,the criterion is based on linear matrix inequality（ LMI）, such that it is easy to calculate the upper bound of the time-delay and the free-weighting matrices. A numerical example is presented to illustrate that the new sufficient condition is less conser-vative than the previous results.. Finally,this idea is extended to neutral system with multiple time-delays.