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Lecture
Dynamical System Theory for Engineers: Introduction
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Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Dynamical Systems: Equilibrium Points and Stability
Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.
Chaos Theory: Discrete Dynamical Systems
Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.
Dynamical Systems for Engineers
Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.
Chaos Theory: Maps and Lyapunov Exponents
Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.
Non-Stochastic Control Problem: Online Gradient Boosting
Explores online gradient boosting for non-stochastic control problems, emphasizing policy regret minimization and stability in control.
Learning and Adaptive Control for Robots: SEDS & LPV-DS
Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.
Ruelle Resonances for Linear Pseudo-Anosov Maps
Delves into Ruelle resonances for linear pseudo-Anosov maps, highlighting their importance in dynamical systems theory.
Stable Estimator of Dynamical System (SEDS)
Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.