•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¥
• 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