Constructive solutions to spectral and inner-outer factorizations with respect to the disk

Authors:
Cristian Oar
Affiliations:
Faculty of Automatic Control and Computers, University Polytechnica Bucharest, Str. Austrului, nr. 34, RO-73115 Bucharest, Romania
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 4
Cited 1

Invariant subspaces of matrices with applications

Invariant subspaces of matrices with applications
Zeros of Spectral Factors, the Geometry of Splitting Subspaces, and the Algebraic Riccati Inequality

SIAM Journal on Control and Optimization
An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects

Systems & Control Letters
Minimal Degree Coprime Factorization of Rational Matrices

SIAM Journal on Matrix Analysis and Applications

Novel system inversion algorithm with application to oversampled perfect reconstruction filter banks

IEEE Transactions on Signal Processing

Quantified Score

Hi-index	22.15

Visualization

Abstract

We use state-space realizations to solve the spectral and inner-outer factorization problems with respect to the unit disk formulated for a completely general rational matrix. The algorithm is based on orthogonal transformations and standard reliable procedures for solving Stein and Riccati equations. The formulas apply in particular to general descriptor systems or polynomial matrices. The main novelty is that we allow for arbitrary rank, poles and zeros on the unit circle, or at infinity.