Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions

Abstract

Stability of certain classes of invariant subspaces of a real matrix which is selfadjoint in a real indefinite inner product, is studied. The study is motivated by, and subsequently applied to, the problem of stability for minimal factorizations of real symmetric rational matrix functions.

^*Partially supported by NSF grant.

^*Partially supported by NSF grant.

Notes

^*Partially supported by NSF grant.