A stabilization criterion for matrix pencils under bilinear transformation Original Research Article

In the literature, the dual matrix pencils sF-G and image are identified with the homogeneous pencil image. In the present paper, for a given a homogeneous pencil which is unstable, in the sense that it has roots in the closed right half-plane, a bilinear transformation is determined such that the new homogeneous bilinear-equivalent matrix pencil is stable. The notion of bilinear equivalence is introduced and a stabilization criterion of a homogeneous matrix pencil is finally derived.