1.5 Obtain the poles and zeros of a transfer function

Problem: Find the zeros, poles, and gain for the continuous time system defined by the transfer function \[ H(s)=\frac {25}{s^{2}+4s+25}\]

Mathematica Clear["Global`*"]; sys=TransferFunctionModel[25/(s^2+4 s+25),s]; TransferFunctionZeros[sys]

{{{}}}

 

TransferFunctionPoles[sys]//N

{{{-2.-4.58258 I,-2.+4.58258 I}}}

 

Matlab clear all; s = tf('s'); sys = 25/(s^2+4*s+25); [z,p,k] =zpkdata(sys,'v')

z = Empty matrix: 0-by-1 p = -2.0000 + 4.5826i -2.0000 - 4.5826i

 

Maple restart; alias(DS=DynamicSystems): sys:=DS:-TransferFunction(25/(s^2+4*s+25)): r :=DS:-ZeroPolePlot(sys,output=data): zeros := r[1]; poles := r[2];

zeros:= [] poles:= [-2.000000000-4.582575695*I, -2.+4.582575695*I]