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Lecture
Car following models: Intro to traffic flow modeling
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Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Stability in Feedback Systems
Explores BIBO stability in feedback systems, covering criteria, Nyquist criterion, and system sampling impact.
Stability of LTI Systems: Equilibria and Lyapunov Theory
Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.
Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Stability and State Feedback
Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.
Networked Control Systems
Explores Networked Control Systems, addressing packet dropouts, network delays, stability, and control laws for system boundability.
Lyapunov Stability and Linearization
Explores Lyapunov stability, linearization, and system stability examples.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
Equilibrium Stability Analysis
Explores equilibrium stability analysis, emphasizing the importance of stability calculations for balanced systems.
Networked Control Systems: Dropout and Stability Analysis
Explores the impact of packet dropouts on networked control system stability and analyzes methods to estimate maximal admissible drop rates.