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Lecture
Kalman Filter: Linearized vs Extended
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Probability and Estimation in Statistics
Introduces probability, estimation methods, linear models, testing, and advanced regression techniques.
Multivariable Control: Equilibria and Stability Analysis
Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.
Multivariable Control: Kalman Predictor and Estimators
Explores Kalman predictors and estimators in multivariable control systems.
Multivariable Control: System Theory and Linear Systems
Introduces the basics of multivariable control, focusing on system theory and linear systems.
Linear Models: Introduction
Introduces linear models, regression, Gaussian distribution, linearity, and model generalization.
Multivariable Control: Correlated Noise
Explores the handling of correlated noise in multivariable control systems, emphasizing the Kalman Filter's adaptation and performance evaluation.
Reachability and Controllability of LTI Systems
Explores reachability and controllability of LTI systems, discussing testing methods, properties, definitions, and their relationship.
Kalman Filter: Time Series
Covers structural modeling, state space models, and the Kalman filter in time series analysis.
Luenberger Observers: Separation Principle
Explores Luenberger observers in multivariable control systems, emphasizing observer stability, separation principle, and filter design.
Optimization in Statistics and Machine Learning: Maximum Likelihood Estimation
Explores Maximum Likelihood Estimation, linear models, logistic regression, and Support Vector Machines.