Observability and Controllability

Related lectures (27)

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Covers the structure theorem for state-space representations and companion forms.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.

Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.

Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.

Covers the Singular Value Decomposition (SVD) in detail, including properties of matrices and system linearity.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers the basics of state-space representation and explores transformations to different forms.

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers the analysis of linear systems, focusing on methods such as Jacobi and Richardson for solving linear equations.