Stability of Pseudospectral Factorizations
André C. M. Ran, Leiba Rodman, Dirk Temme · Birkhäuser Basel eBooks · 2001
For rational matrix functions that are of the form identity plus a contractive function, or have positive semidefinite real part, a class of pseudospectral factorizations is considered. Within the class, stable factorizations, i.e., those that persist after a small perturbation of a minimal realization of the original function, are fully described. The description is based on stability results concerning semidefinite invariant subspaces of dissipative matrices with respect to an indefinite inner product.