This paper deals with the notion of output strictly negative-imaginary systems. A definition is
given for the class of output strictly negative-imaginary systems and a lemma is proposed to …

We study Gleason's problem, rational functions and spaces of regular functions in the setting
of split-quaternions. There are two natural symmetries in the algebra of split-quaternions …

We here extend the well known positive real lemma (also known as the Kalman–Yakubovich–
Popov lemma) to a complex matrix-valued generalized positive rational function, when non …

Real stable matrices A and B with rank of AB equal to one have a common Lyapunov
solution if and only if their product AB has no real negative eigenvalue. This was proved by …

The real Lyapunov order in the set of real n× n matrices is a relation defined as follows: A⩽ B
if, for every real symmetric matrix S, SB+ BtS is positive semidefinite whenever SA+ AtS is …

We here show that the family of finite-dimensional, continuous-time, passive, linear, time-
invariant systems can be characterized through the structure of maximal matrix-convex …

Scalar rational functions with a non-negative real part on the right half plane, called positive,
are classical in the study of electrical networks, dissipative systems, Nevanlinna–Pick …

We define two versions of compositions of matrix-valued rational functions of appropriate
sizes and whenever analytic at infinity, offer a set of formulas for the corresponding state …

An easy-to-compute factorization of rational generalized positive functions - ScienceDirect
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We here show that the family of finite-dimensional, discrete-time, passive, linear time-
invariant systems can be characterized through the structure of a matrix-convex set, which is …