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- Two polynomials m(s) and n(s) are coprime if the only common factors are
constants.
- Two transfer functions m(s) and n(s) in RH¥ are
coprime if the only common factors are stable and invertible transfer
functions (units): I.e. h,
mh-1, nh-1 Î RH¥ _ h-1 Î RH¥
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Equivalent, there exists x,y Î RH¥ such that
- xm+yn=1.
- Matrices M and N in RH¥ are right coprime if there exist matrices Xr
and Yr in RH¥ such that
- Matrices and in RH¥ are left coprime if there exist matrices Xl
and Yl in RH¥ such that
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