Consider the following circuit with Vs=1V,(adsbygoogle = window.adsbygoogle || []).push({});

R=1Ω and C=1F.

The voltage transfer function of the resistor can be written as

V_{r}(s)/V_{s}(s)=s/(s+1).

Now I understand s is complex frequency and at s=∞

the transfer function becomes unity since capacitor acts as a short and V_{s}=V_{r}. What I don't understand is at s=-1, the TF becomes infinity.

If s=-1 and s=σ+jω, σ=-1 gives TF=∞. What is the meaning of this? What is the general significance of σ? I know jω represents the oscillations in the system but what does the real part σ represent?

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# Control system doubt

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