The system Hs s 13s4 s3 s2 4s 5 is 1Stable 2Unstable 3 3m

The system H(s) =(s +1)^3/s^4 + s^3 - s^2 +4s - 5 is

1.Stable

2.Unstable 3.

3.marginally stable.

4.stable for all s < -1.

Please provide solution breakdown.

For stability the system must have finite value of the integral from -infinity to + infinity.

Here,

H(s) =(s +1)^3/s^4 + s^3 - s^2 +4s - 5

In this equation , s^3 goes to + infinity , -s^2 goes to -infinity , and 4 goes to +infinity , therefore thefirst term should go to -infinity.

For this , (s+1) < 0

=> s < -1

Therefore,

System is stable for all s<-1. Answer