Two polynomial matrices are spectrally equivalent if they have the same finite and infinite
elementary divisors. Spectral equivalence can be characterized using very special …

The structure of a rational matrix is given by its Smith-McMillan invariants. Some properties
of the Smith-McMillan invariants of rational matrices with elements in different principal ideal …

The present article is a survey on linear multivariable systems equivalences. We attempt a
review of the most significant forms of system equivalence having as a starting point matrix …

The main purpose of this work is to propose new notions of equivalence between
polynomial matrices that preserve both the finite and infinite elementary divisor structures …

We examine the problem of equivalence of discrete time auto-regressive representations
(DTARRs) over a finite time interval. Two DTARRs are defined as fundamentally equivalent …

The main purpose of this work is to determine the forward and backward solution space of a
nonregular discrete time AR-representation ie A (σ) ξ (k)= 0, in a finite time horizon where A …

We present a new equivalence transformation termed divisor equivalence, that has the
property of preserving both the finite and the infinite elementary divisor structures of a …

This paper consists of two parts. In the first part, we present the smooth and impulsive
solution space B of the system of algebraic and differential equations A (ρ) β (t)= 0, ρ≔ d/dt …

The notion of observability for higher order discrete-time systems of algebraic and difference
equations is studied. Such systems are also known as polynomial matrix descriptions …

For a given system of algebraic and difference equations, written as an Auto-Regressive
(AR) representation $ A (\sigma)\beta (k)= 0$, where $\sigma $ denotes the shift forward …