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Lecture
Networked Control Systems: Stability Analysis and Examples
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Networked Control Systems: Stability Analysis and Delay Compensation
Explores stability analysis and delay compensation in networked control systems, emphasizing the importance of compensating for known delays.
Sampling Theorem and Control Systems
Explores the Sampling Theorem, digital control, signal reconstruction, and anti-aliasing filters.
Quantiles, Sampling, Histogram Density
Explores quantiles, sampling, and histogram density for understanding distributions and constructing confidence intervals.
Basics of Linear Regression
Covers the basics of linear regression, including OLS estimators, hypothesis testing, and confidence intervals.
Stochastic Simulation: Computation and Estimation
Covers computation and estimation in stochastic simulation, focusing on generating iid replicas and optimal importance sampling.
Discrete-Time Systems Analysis
Explores Z-transform analysis for discrete-time systems and transfer functions in control systems.
Statistical Inference: Approximate Critical Values and Confidence Intervals
Covers the construction of confidence intervals and approximate critical values in statistical inference.
Stochastic Simulation: Latin Hypercube Sampling and Quasi Monte Carlo
Covers Latin Hypercube Sampling and Quasi Monte Carlo methods for stochastic simulation, explaining the goal of stratification and generating independent permutations.
Interval Estimation
Covers the construction of confidence intervals for a normal distribution with unknown mean and variance.
Networked Control Systems: Stability and Analysis
Explores the stability of networked control systems under packet loss and stochastic dropouts, emphasizing mean-square stability and robustness.