We consider the problem of internally stabilizing and simultaneously diagonaly decoupling a
linear multivariable system by unity output feedback compensation. A sufficient condition is …

We study the structure at infinity of transfer matrices with time-varying coefficients. Such
transfer matrices have their entries in a skew field F of rational fractions, ie of quotients of …

The structure of the Smith-MacMillan form of a rational matrix T (s) inside a region P=
ω∪{∞}(where ω is asymmetric with respect to the real axis subset of the finite complex …

This paper is concerned with the weak inherent coupling problem of the system S (A, B, C,
E). Using state space parameters a minimal-order precompensator and a static feedback …

Strong system equivalence is defined for polynomial realizations of a rational matrix. It is
shown that any polynomial realization is strongly system equivalent to a generalized state …

The structure of proper and stable bases of rational vector spaces is investigated. We prove
that if t (s) is a rational vector space, then among the proper bases of 3 (s) there is a …

Mita (1977) presented a simple method for the invariant zeros of a linear multivariable
system by constructing its maximal unobservable subspace (MUS). However, the results of …

A result orinally reported by Hammer for linear time invariant (LTI) single input-single output
systems and concerning an invariant and a canonical form of the transfer function matrix of …

The problem of designing precompensators necessary for decoupling invertible systems
having weak inherent coupling is considered. A simple algorithm, which is directly …

The diagonal stabilization problem (DSP) is defined over the ring of proper rational functions
which have no poles inside a prescribed region of the finite complex plane. Solvability is …