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Stability Analysis
5.2 Poles
The poles is important when analysis the stability of a system. The figure below gives an overview of
the poles impact on the stability of a system:
Thus, we have the following:
Asymptotically stable system:
Each of the poles of the transfer function lies strictly in the left
half plane (has strictly negative real part).
Marginally stable system:
One or more poles lies on the imaginary axis (have real
part equal to zero), and all these poles are distinct.
Besides, no poles lie in the right half plane.
MathScript - Part II: Dynamic Systems