SIGNAL / EQUATION / EVIDENCE
Find stability without solving every root
Keep a=2 and b=3. Compare c=4, 6 and 8. Why does positivity of every coefficient fail to guarantee stability?
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p(s)=s³+as²+bs+c · first column: 1, a, (ab−c)/a, c
Strictly stable
| s | 1 | 2 |
|---|---|---|
| 3 | 1 | 3 |
| 2 | 2 | 4 |
| 1 | 1 | 0 |
| 0 | 4 | 0 |
-1.6506 + j0 ; -0.17469 + j1.5469 ; -0.17469 − j1.5469
Explain what changed
Keep a=2 and b=3. Compare c=4, 6 and 8. Why does positivity of every coefficient fail to guarantee stability?
Read the related Field Journal →
University of Washington — Routh-Hurwitz Stability