In this study, the problem of simultaneous estimation of system states and disturbances is
addressed for two‐dimensional (2D) linear systems. The considered 2D systems can be …

We prove a realization theorem for rational functions of several complex variables which
extends the main theorem of Bessmertnyĭ (in: Alpay, Gohberg, Vinnikov (eds) Interpolation …

From the perspective of control theory, convolutional layers (of neural networks) are 2-D (or
ND) linear time-invariant dynamical systems. The usual representation of convolutional …

This paper proposes a novel elementary operation approach to order reduction for the
Roesser state-space model of multidimensional (nD) systems by introducing a new kind of …

ABSTRACT A new elementary operation approach (NEOA) for Roesser model realisation of
multi-input and multi-output (MIMO) multidimensional (nD) systems has been recently …

In this paper, we focus on first-degree three-dimensional (3D) causal systems which have
separable denominators. Gröbner basis is applied to prove that not all first-degree 3D …

This paper presents a state-space formulation for the two-dimensional (2-D) frequency
transformation in the Fornasini–Marchesini second (FM II) model. Specifically, by introducing …

This paper proposes a novel realization approach to generate a low-order Fornasini–
Marchesini (FM)(second) model for multidimensional (nD) systems. First, based on two …

Using partial fraction decomposition, limit methods and algebraic techniques, finding the
absolutely minimal realization matrices for first-degree (multi-linear) n D SISO systems is …

This paper is concerned with the problem of a order reduction approach for Roesser state-
space model of multidimensional (nD) systems based on real Jordan transformation. It will …