Howtosignalprocessing
- Is a system stable if it has no poles?
- What are the conditions for a BIBO stable system?
- How can you tell stability from pole zero plot?
- Can a system have no poles?
Is a system stable if it has no poles?
In order for a linear system to be stable, all of its poles must have negative real parts, that is they must all lie within the left-half of the s-plane.
What are the conditions for a BIBO stable system?
A system is BIBO stable if every bounded input signal results in a bounded output signal, where boundedness is the property that the absolute value of a signal does not exceed some finite constant.
How can you tell stability from pole zero plot?
If all the poles lie in the left half of the s-plane, then the system is stable. If the system has two or more poles in the same location on the imaginary axis, then the system is unstable. If the system has one or more non-repeated poles on the imaginary axis, then the system is marginally stable.
Can a system have no poles?
Certainly we can list many examples, showing there do exist stable systems having no poles. H(s) = 1 is an obvious one.
