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Timeline for Pade Approximation of dead time

Current License: CC BY-SA 3.0

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Mar 14, 2018 at 2:35 comment added Tendero There's something that is not clear to me. Sorry if this question is kind of silly. But given for example the transfer function $H(s)=s^2/(s+1)$, one can find a ROC such that the system is both causal and stable. However, the transfer function is improper. As far as I understand from your comment in my answer above, this is not possible. So where am I making the mistake?
Mar 13, 2018 at 19:50 comment added Matt L. @Tendero: Yes (to your first question). Examples of causal and unstable, or non-causal and stable systems are easy to find: just put a pole in the right half-plane and you'll have a causal unstable system or a non-causal stable system, e.g. $H(s)=1/(s-1)$
Mar 13, 2018 at 14:10 comment added Tendero This system is unstable for both causal and noncausal cased, right? That impulse would appear no matter what. Are there any examples where a system can be either causal and unstable OR noncausal and stable, depending on the ROC?
Jan 16, 2018 at 13:49 history answered Matt L. CC BY-SA 3.0