5f499ceb-fb82-4bb1-ad23-e2474ea06e8d 18 7 10 false true 0 decimal

&[DATE] &[TIME] - &[FILENAME]

r ≠ 1 r 1.001 :

n_var1 X x r n^2 π * / r i u * exp * X n u * i * exp * u 02 π * int * :

Kp 0.5 :

z H z Kp + z 2^z - Kp + / z z 1 - / (* :

n 120 range :

Y n 120 range U n el n_var1 H x eval : for U 21 line :

Y 9.563 1.5 1011 -^* i * - 11.063 1.499 1011 -^* i * - 12.063 1.499 1011 -^* i * - 12.313 1.499 1011 -^* i * - 12.063 1.498 1011 -^* i * - 11.688 1.498 1011 -^* i * - 11.438 1.5 1011 -^* i * - 11.376 1.498 1011 -^* i * - 11.438 1.496 1011 -^* i * - 11.532 1.498 1011 -^* i * - 11.595 1.499 1011 -^* i * - 11.61 1.497 1011 -^* i * - 11.595 1.495 1011 -^* i * - 11.571 1.5 1011 -^* i * - 11.555 1.499 1011 -^* i * - 151 mat

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data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

Kp 0.625 :

sol z 2^z - Kp + (z 1 - (* z solve maple : 2 i 6 sqrt * + 4 / 2 i 6 sqrt * - 4 / 131 mat

z H z Kp + z 2^z - Kp + / z z 1 - / (* :

z H A z r1 - / B z r2 - / + C z r3 - / + ≡

r1 sol 1 el : r2 sol 2 el : r3 sol 3 el : 31 sys

A B + C + 1 ≡ A r2 r3 + (* B r1 r3 + (* + C r1 r2 + (* + Kp - ≡ A r2 r3 * (* B r1 r3 * (* + C r1 r2 * (* + 0 ≡ 31 line

A B C 31 mat 111 r2 r3 + r1 r3 + r1 r2 + r2 r3 * r1 r3 * r1 r2 * 33 mat 1 -^1 Kp - 031 mat * :

A B C 31 mat 0.8 - 0.674 i * - 0.8 - 0.674 i * + 2.6 31 mat

N 20 : m 0 N 0.1 range : p 1 el 0 : m p p 1 el A r1 m 1 -^* + B r2 m 1 -^* + C r3 m 1 -^* + : 41 sys

unary m p abs vectorize m rows row 1 el : 2.594 = response m 1 unary / m p abs vectorize * augment : 21 sys

n 020 range : data n 1 unary / n p abs vectorize * augment : 21 sys

Unary response to 'Z' transform

response 1 data o 5 black plot 3 1 sys