Some categorical properties of linear systems

MV Carriegos - Mathematics, 2022 - mdpi.com
Linear control systems are studied by means of a state-space approach. Feedback
morphisms are presented as natural generalization of feedback equivalences. The set of …

Feedback equivalence of convolutional codes over finite rings

N DeCastro-García - Open Mathematics, 2017 - degruyter.com
The approach to convolutional codes from the linear systems point of view provides us with
effective tools in order to construct convolutional codes with adequate properties that let us …

[HTML][HTML] A characterization of von Neumann rings in terms of linear systems

N DeCastro-García, MV Carriegos… - Linear Algebra and its …, 2016 - Elsevier
A new characterization of commutative von Neumann regular rings is given in terms of linear
control systems having, locally, a Brunovsky Canonical Form. The problem of enumerating …

[HTML][HTML] Partitions of elements in a monoid and its applications to systems theory

MV Carriegos, N DeCastro-García - Linear Algebra and Its Applications, 2016 - Elsevier
The feedback class of a locally Brunovsky linear system is fully determined by the
decomposition of state space as direct sum of system invariants [2]. In this paper we attack …

[HTML][HTML] On the K-theory of feedback actions on linear systems

MV Carriegos, ALM Castaneda - Linear Algebra and Its Applications, 2014 - Elsevier
A categorical approach to linear control systems is introduced. Feedback actions on linear
control systems arise as symmetric monodical category S R. Stable feedback isomorphisms …

Natural Factorization of Linear Control Systems through Parallel Gathering of Simple Systems

MV Carriegos - Journal of Mathematics, 2023 - Wiley Online Library
Linear systems over vector spaces and feedback morphisms form an additive category
taking into account the parallel gathering of linear systems. This additive category has a …

[HTML][HTML] Partitions, diophantine equations, and control systems

MV Carriegos, N DeCastro-García… - Discrete Applied …, 2019 - Elsevier
Ordered partitions of elements of a reduced abelian monoid are defined and studied by
means of the solutions of linear diophantine equations. Links to feedback classification of …

Canonical Forms for Reachable Systems over Von Neumann Regular Rings

A Sáez-Schwedt - Mathematics, 2022 - mdpi.com
If (A, B) is a reachable linear system over a commutative von Neumann regular ring R, a
finite collection of idempotent elements is defined, constituting a complete set of invariants …

[PDF][PDF] Research rticle Natural Factorization of Linear Control Systems through Parallel Gathering of Simple Systems

MV Carriegos - 2023 - academia.edu
Linear systems over vector spaces and feedback morphisms form an additive category
taking into account the parallel gathering of linear systems. Tis additive category has a …

Feedback Classification of linear systems and convolutional codes. Applications in cybernetics, coding theory and cryptography= Feedback clasificación de sistemas y …

N Castro-García - 2016 - buleria.unileon.es
Several natural phenomena are mathematically modeled through linear systems of
differential equations. We study the feedback classification of linear systems over …