论文标题
在台阶响应中的固定拐点
On stationary inflection points in step responses
论文作者
论文摘要
适当的合理转移函数的步骤和冲动响应是行为良好的分析功能。我们证明，这种响应不能具有拐点，以使该点的切线与时轴平行。因此，当有限维的LTI系统的步骤或冲动响应越过任何给定水平时，交叉必须是横向的，并且永远不能是切线。
The step and impulse responses of a proper, rational transfer function are well-behaved analytic functions. We prove that such a response cannot have an inflection point such that the tangent at that point is parallel to the time-axis. Hence when a step or impulse response of a finite-dimensional LTI system crosses any given level, that crossing must be transversal, and can never be tangential.
