ME 431, Lecture 10

1

System Stability

Routh - Hurwitz Criterion

1. Generate a Routh table.

2. Interpret the Routh table.

Number of poles in the RHP

= Number of sign changes in the first column

Re

Im

Unstable RegionStable Region

Marginally Stable Region

Special case: The first element is 0

1. Replace the zero with ε.

2. Proceed as usual.