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Test if F(S)=2S6+4S5+6S4+8S3+6S2+4S+2 is a Hurwitz polynomial.
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written 4.5 years ago by
teamques10
★ 70k
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Consider ROUTH-ARRAY METHOD
| $s^6$ | 2 | 6 | 6 | 2 |
|---|---|---|---|---|
| $s^5 $ | 4 | 8 | 4 | - |
| $s^4$ | $ =2 | {(4*6)-(2*4)}/4 =4 | {(4*2)-(2*0)}/4 =2 | - | | $s^3$ | {(2*8)-(4*4)}/2 =0 ---\gt(8) | {(2*4)-(2*4)}/2=0---\gt(8) | 0 | ...R1 | | $s^2$ | {(4*8)-(2*8)}/8 =2 | {(2*8)-(0*2)}/8 =2 | - | … |
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