Polynomial Division Approach & Observer Control

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Page 3 of 4

Explores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.

Euclidean Division and Simple Elements

Explains polynomial division, factor decomposition, and rational function simplification.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Linear Recurrence Relations

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Complex Systems: Critical Phenomena

Explores critical phenomena in complex systems, including stochastic objects, percolation, and combinatorial optimization.

State Observers and Output-Feedback Controllers

Covers the design and implementation of state observers and output-feedback controllers in multivariable control systems.

StateSpace Pole Locations

Discusses selecting pole locations in state-space control systems to meet time-domain specifications and minimize control effort.

Linear Algebra: Abstract Concepts

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Viète Relations: Polynomial Roots and Coefficients

Explores Viète's identities, relating polynomial roots and coefficients to solve equations.

Calcul de valeurs propres

Covers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.