A note on the kernel of a pair of linear maps
Miguel V. Carriegos, Noem\'i DeCastro-Garc\'ia, \'Angel Luis Mu\~noz, Casta\~neda
TL;DR
This paper explores the kernel of a pair of linear systems using commutative ring theory, providing insights relevant to the behavioral approach in linear systems theory.
Contribution
It introduces a novel algebraic framework for analyzing the kernel of paired linear systems within commutative ring theory.
Findings
Provides a new algebraic characterization of the kernel of linear system pairs
Connects kernel analysis to the behavioral perspective in system theory
Offers potential applications in system analysis and design
Abstract
The kernel of a pair of linear systems is studied in the framework of commutative ring theory with applications to behavioral perspective of linear systems
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Advanced Differential Equations and Dynamical Systems