In this paper, the problem of providing a complete parametrization of the minimal spectral
factors of a discrete-time rational spectral density is considered. The desired …

This paper studies the stability of the feedback interconnection of discrete-time negative
imaginary (D-NI) systems through integral quadratic constraints (IQCs). Applying the latest …

Matrix spectral factorization is traditionally described as finding spectral factors having a
fixed analytic pole configuration. The classification of spectral factors then involves studying …

In this paper, we investigate Bauer's method for the matrix spectral factorization of an r-
channel matrix product filter which is a half-band autocorrelation matrix. We regularize the …

Passivity theory and the positive real lemma have been recognised as two of the
cornerstones of modern systems and control theory. As digital control is pervasive in virtually …

Recent results have shown that, for continuous-time systems obtained by cascading an
asymptotically stable system with an inner system, the first n Hankel singular values are …

In this article, we analyze the high-frequency condition that discriminates strictly positive real
systems from weakly strictly positive real ones. Different versions of this condition have been …

Local stability analysis of a recently proposed recursive feedback-based approach to
spectral factorization is performed. The method is found not to give stability guarantees …

In this paper, new properties of the cascade between a multi-input multi-output linear time-
invariant system, referred to in the following as the original system, and an inner system are …

This paper proposes a decomposition of the continuous-time algebraic Riccati equation
aimed at eliminating the problem of the presence of closed-loop eigenvalues on the …