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**1. The problem statement**

I have a MIMO system with two inputs and two outputs. I have all transfer functions between inputs and outputs. I want to obtain a state space model that describes this system. All transfer functions are of 3rd degree.

## Homework Equations

"Transfer matrix":

H

_{P}(s)=[H11, H12; H21, H22]

H11=[itex]\frac{1}{100s^3+80s^2+17s+1}[/itex]

H12=[itex]\frac{0.5}{100s^3+80s^2+17s+1}[/itex]

H21=[itex]\frac{4.8}{5s^3+13.5s^2+7.5s+1 }[/itex]

H22=[itex]\frac{16}{5s^3+13.5s^2+7.5s+1 }[/itex]

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