Linear system theory

EE-611

Lecture 3 - Invariant polynomials and cyclic decom...

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Description

Lecture 3 - Invariant polynomials and cyclic decomposition

Motivation: structure of the A matrix, towards transmission zeros and feedback
Annihilating polynomials
MAP (minimal annihilating polynomial) of a space, of a vector
Invariant subspaces
Cyclic subspaces (invariant)
RMAP (relative annihilating polynomial) modulo an invariant subspace
Comprimeness and direct sum decomposition
Main theorem on cyclic decomposition and invariant polynomials