Polynomial Division Approach & Observer Control

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Explores the uniqueness of minimal polynomials and the division algorithm for polynomials.

Covers polynomial division and observer/controller approach with step-by-step examples.

Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Covers the decomposition of linear operators and properties of eigenspaces.

Covers eigenvalues, eigenvectors, and their applications in linear algebra.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Introduces state observers for estimating the state from input and output measurements.

Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.

Covers polynomial roots, factorization, and unique representation through examples of polynomial division with remainders.