Question

s⁷ + 9s⁶ +24s⁵+24s⁴+24s³+24s²+23s+15 =0 find location of roots and stability of the system​

Answer 1

Answer:

root locus: Find the range of the k values for the system to be stable:

For a continuous system to be stable, its pole should be on the left s-plane, , corresponding to .

For a discrete system to be stable, its pole should be within the unit circle , corresponding to .