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Lecture
Multivariable Control: Reduced-Order Observers
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Controllability and Reachability
Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.
Observability in Multivariable Control
Explores observability in multivariable control systems and the PBH test for system reachability.
Multivariable Control: Eigenvalues and Modes
Explores eigenvalues and modes in multivariable control systems, focusing on their analysis and behavior.
Sparse Matrices in Multivariable Control
Explores sparse matrices in multivariable control, emphasizing projection computation and PGD convergence.
Exact and Approximate Sampling in Multivariable Control
Explores exact and approximate sampling in multivariable control systems, discussing stability, eigenvalues, and system properties.
Duality and PBH Test in Multivariable Control
Explores duality, PBH test, observability, and exact discretization in multivariable control systems.
Extended Kalman Predictor: Linearized KF
Explores the Extended Kalman Predictor algorithm and the linearized Kalman Filter for multivariable control systems, discussing the challenges and applications.
Multivariable Control: Equilibria and Stability Analysis
Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.
Multivariable Control
Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Multivariable Control: Linear Quadratic Gaussian Control
Explores linear quadratic Gaussian control and the challenges of modeling errors in control systems.