论文标题
虚构特征值的麻烦。最佳控制，可控性，频率响应
The trouble with imaginary eigenvalues. Optimal control, controllability, frequency response
论文作者
论文摘要
我们研究了在开环系统具有虚构特征值时出现的线性时变系统理论中的一些问题。问题是：（1）无限的地平线，最小能量最佳控制问题； （2）定义不稳定系统的可控性gramian的问题； （3）规律性作为状态冲动响应的傅立叶变换的分布。除了单独研究这些问题外，我们还指出了它们是如何相互联系的。
We investigate a few problems in the theory of linear time-invariant systems that arise when the open-loop system possesses imaginary eigenvalues. The problems are: (1) the infinite horizon, minimum energy optimal control problem; (2) the matter of defining the controllability Gramian for systems that are not stable; (3) the regularity as a distribution of the Fourier transform of the state impulse response. Apart from separately investigating these problems, we also indicate how they are interconnected.
