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No, If the original equation is valid for all z and all coefficients are coefficients (not functions of z), then is right. It is a standard procedure.

You can not find constant coefficients a, b to satisfy the following equation for all z: a*z+b*z^2=z^3.

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@Alexander_Sobolev wrote:

No, If the original equation is valid for all z and all coefficients are coefficients (not functions of z), then is right. It is a standard procedure.

You can not find constant coefficients a, b to satisfy the following equation for all z: a*z+b*z^2=z^3.


This is especially true when you think of z as a delay, as it normally is in signal processing and control.


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