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Signals and Systems by Smarajit Ghosh

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9.3 STATE MODEL

Figure 9.1 shows an nth order system having multiple input multiple output.

 

image

 

Fig. 9.1

 

Here

 

image

 

The state variable representation of such a system in the form of n first-order differential equations is given below:

 

image

 

where      image is a functional operator.

On integration, we can write

 

 

where             i = 1, 2, …………, ...

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