In this paper the descriptor continuous-time linear systems with the regular matrix pencil ( E , A ) are investigated using Drazin inverse matrix method. Necessary and sufficient conditions for the stability and superstability of this class of dynamical systems are established. The procedure for computation of the state-feedback gain matrix such that the closed-loop system is superstable is given. The effectiveness of the presented approach is demonstrated on numerical examples.

中文翻译：

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使用 Drazin 逆矩阵方法通过状态反馈超稳定描述符连续时间线性系统

本文采用Drazin逆矩阵方法研究了具有正则矩阵铅笔(E,A)的描述符连续时间线性系统。建立了该类动力系统稳定和超稳定的充要条件。给出了计算状态反馈增益矩阵以使闭环系统超稳定的过程。数值例子证明了所提出方法的有效性。