由于是单位负反馈系统:1+G(s)=0;
1+ K/(s(0.1s+1)(0.25s+1))=0
0.025s^3+0.35s^2+s+K=0
运用routh判据就可得结果:
s^3 0.025 1
s^2 0.35 K
s (0.35-0.025K)/0.35
s^0 K
要稳定,则(0.35-0.025K)/0.35>0,K>0,所以0