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Stability
Most important system specification.
Stable
Systems poles are located on the left half of the s-plane.`
Unstable
Atleast of one pole located on the right half of the s-plane.
Marginally Stable
One or more non-repeated system poles located on the imaginary axis.
Routh Hurtwitz Criterion
General a data table called a Routh Table. Sign changes indicated right half of the plane poles.