劳斯判定s^6+30s^5+20s^4+10s^3+5s^2+20=0,

Question

劳斯判定s^6+30s^5+20s^4+10s^3+5s^2+20=0,

Answer 1

s^6: 1 20 5 20
s^5: 30 10 0 0
s^4: 59/3 5 20
s^3: 140/59 -1800/59 0
s^2: (700/59+600) 20
s^1: . (一个负数) 0
s^0 20
第一列符号改变了两次,所以有两个右半平面的根.
可以求出特征方程的根为：
-29.3295
-1.0621
-0.3820 + 0.9114i
-0.3820 - 0.9114i
0.5778 + 0.5688i
0.5778 - 0.5688i
验证了判断的正确性