Optimal Hankel Norm model reductions and Weiner-Hopf factorization I: the canonical case
SIAM Journal on Control and Optimization
Spectral and inner-outer factorizations of rational matrices
SIAM Journal on Matrix Analysis and Applications
A J-spectral factorization approach to control
SIAM Journal on Control and Optimization
Inner—outer factorization for strictly proper functions with jw-axis zeros
Systems & Control Letters
Rational spectral factorization using state-space methods
Systems & Control Letters
Linear robust control
Matrix computations (3rd ed.)
Algorithm of J-spectral factorization of polynomial matrices
Automatica (Journal of IFAC)
Computation of the (J,J')-Lossless Factorization for General Rational Matrices
SIAM Journal on Control and Optimization
Hi-index | 22.14 |
In this paper we study an extended J-spectral factorization problem, i.e., J-spectral factorization problem for descriptor systems which may not have full column normal rank and may exhibit poles and zeros on the extended imaginary axis. We present necessary and sufficient solvability conditions and develop a numerically reliable method for the underlying problem. Our method is implemented by using only orthogonal transformations and has an acceptable computational complexity.