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O residue iΩp@i}CY $A(s)$ M $B(s)$ hAB $B(s)$ LڡAh $\frac{B(s)}{A(s)}$ iHܬ

$$ \frac{B(s)}{A(s)} = \frac{r_1}{s-p_1}+\frac{r_2}{s-p_2}+\cdots+\frac{r_n}{s-p_n}+C(s) $$

䤤 $p_1, p_2, ..., p_n$ $A(s)$ ڡ]άO $\frac{B(s)}{A(s)}$ I^A$r_1, r_2, ..., r_n$ `ơA$C(s)$ @hCҦpGD $\frac{3s+8}{s^2+5s+6}$ i}AiJpUG

Example 1: 07-hBzPR/residue01.mb = [3 8]; a = [1 5 6]; [r, p, k] = residue(b, a)r = 1.0000 2.0000 p = -3.0000 -2.0000 k = []

ѥHWGoG $$\frac{3s+8}{s^2+5s+6} = \frac{1}{s+3} + \frac{2}{s+2}$$

i}SOAΩuʨtΤഫơ]Transfer Function^RCHWҦӨAY $\frac{3s+8}{s^2+5s+6}$ @tΤഫơAgѤWzi}Ai߽T]Impulse Response^$e^{-3t}+2e^{-2t}$C

residue OiN^ӪΦApUG

Example 2: 07-hBzPR/residue02.mr = [1 2]; p = [-3 -2]; k = []; [b2, a2] = residue(r, p, k)b2 = 3 8 a2 = 1 5 6

WzdҥNڭ̥iHѱNX@G

$$\frac{1}{s+3} + \frac{2}{s+2} = \frac{3s+8}{s^2+5s+6}$$
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