In this paper, we give a characterization of hyperbolic linear dynamical systems via the notions of various inverse shadowing. More precisely it is proved that for a linear dynamical system f(x)=Ax of ${mathbb{C}^n}$, f has the ${ au}_h$ inverse(${ au}_h-orbital$ inverse or ${ au}_h-weak$ inverse) shadowing property if and only if the matrix A is hyperbolic.