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Dec 5, 2016 at 9:09 comment added LvW No, the system will be unstable (and oscillating) - independent on the input signal. It is a matter of SELF-EXCITEMENT!.
Dec 5, 2016 at 8:04 comment added emnha So instability is the internal property of the system not the external applied signal? For example, a system that has phase shift -360 degree and loop gain still larger than 0dB at frequency fosc. However, if the applied signal doesn't contain the frequency component fosc, then the system is still stable?
Dec 5, 2016 at 7:53 comment added LvW ...."there is a frequency causing the system unstable". No - that is NOT correct. It is not the input signal that causes instability (oscillation). It is the internal positive feedback that causes SELF-EXCITEMENT - independent on externally applied signals.
Dec 5, 2016 at 6:09 comment added emnha Thank you. As my comment in the vini_i post, I would like to ask you this question too. When using impulse to test for stability, assuming that the system is unstable, there is a frequency that causes oscillation. Now should we test one frequency component at a time to the system? The impulse input has infinite frequency components, so there is a frequency causing the system unstable. However, is the a possibility that other frequency components in the impulse will cancel the oscillation caused by one specific frequency component in the pulse?
Dec 5, 2016 at 2:42 history answered Tony CC BY-SA 3.0