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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference8 articles.
1. Morphisms of linear control systems;Carriegos;Open Math.,2022
2. Enumeration of classes of linear systems via equations and via partitions in an ordered abelian monoid
3. A classification of linear controllable systems;Brunovsky;Kibernetika,1970
4. On feedback invariants for linear dynamical systems
5. Kronecker invariants and Feedback;Kalman,1972
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