Some Categorical Properties of Linear Systems

Miguel V. Carriegos
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Miguel V. Carriegos: Departamento of Matemáticas, Universidad de León, 24071 León, Spain

Mathematics, 2022, vol. 10, issue 12, 1-9

Abstract: 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 morphisms between two linear systems is a vector space. Kernels, cokernels, as well as monomorphisms, epimorphisms, sections, and retracts of feedback morphisms are studied in the category of linear systems over finite dimensional vector spaces. Finally, a classical Kalman’s decomposition of linear systems over vector spaces is presented as a split short exact sequence in the category.

Keywords: feedback; linear systems; categorical properties of feedback actions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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