论文标题
在单延迟的准多项式的零上
On the Zeros of Quasi-Polynomials with Single Delay
论文作者
论文摘要
引入了一种新的数值方法，用于计算具有恒定单延迟的准多项式零。取决于从零到最终时间延迟值的时间延迟获得零的轨迹。该方法在任何右半平面中确定了准多项式的所有零。该方法用于确定时间延迟系统的稳定性分析。该方法易于实现，稳健且适用于具有高阶的准多项式。该方法的有效性显示在示例中。
A new numerical method is introduced for calculation of quasi-polynomial zeros with constant single delay. The trajectories of zeros are obtained depending on time-delay from zero to final time-delay value. The method determines all the zeros of the quasi-polynomial in any right half-plane. The approach is used to determine stability analysis of time-delay systems. The method is easy to implement, robust and applicable to quasi-polynomials with high order. The effectiveness of the method is shown on an example.
