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Lecture
StateSpace ControlCanonical: Canonical Forms
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Related lectures (27)
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Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
State-Space Representation: Controllability and Observability
Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.
Matrix Operations: Composition and Product
Covers the composition and product of matrices, including matrix multiplication.
Observability and Controllability
Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.
Linear Transformations: Injective and Surjective
Explores injective and surjective linear transformations, kernel, image, and matrix operations.
Density Operator: Matrix to the System State
Explores density operator matrix transformation in quantum physics and the implications of measuring the system, leading to state collapse.
Change of Frames in 2D
Explores changing frames in 2D through translations, rotations, and the introduction of a transformation matrix U.
Matrix Multiplication: Applications and Properties
Covers matrix multiplication, properties, and inverses in linear algebra.
State-Space Representation: Structure Theorem
Covers the structure theorem for state-space representations and companion forms.
Linear Applications and Matrices
Explores the relationship between linear applications and matrices, emphasizing the conversion process between them.