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本短文用简单方法证明了线性非时变系统不变性的充要条件。指出系统的不变性实质上就是系统对扰动的输出不能控性。从而提出了一种看法:对于线性时变系统及非线性系统,不变性的研究也应该和系统对扰动的输出不能控性的研究结合起来。
This essay proves the necessary and sufficient condition of invariance of linear time-invariant system by simple method. Pointed out that the system invariance is essentially the system can not control the output of the disturbance. Thus a view is put forward: For the linear time-varying system and the nonlinear system, the research of invariance should also be combined with the research of the system’s uncontrollable output output.