Lectures related to Introduction to Dynamical System Theory for Engineers

Dynamical System Theory for Engineers: Large Scale Stability

Covers the concept of large scale stability in dynamical systems.

Dynamical Systems: Equilibrium Points and Stability

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Introduction to Dynamical System

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Dynamical System Theory for Engineers: Large Scale Stability

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Nonlinear Dynamical Systems: Key Concepts

Covers key concepts in nonlinear dynamical systems, such as existence, uniqueness, and continuous dependence of solutions.

Introduction to Dynamical System Theory

Introduces dynamical system theory for engineers, covering trajectories, orbits, and solutions.

Small Scale Stability: Gradient Systems

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Dynamical Systems: Maps and Stability

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Large Scale Stability Analysis

Covers large scale stability analysis and properties of dynamical systems solutions.

Dynamic Systems: Course Review

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Non-Stochastic Control Problem: Online Gradient Boosting

Explores online gradient boosting for non-stochastic control problems, emphasizing policy regret minimization and stability in control.

Gateways to the Moon and Local Floer Homology

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Fubini's Theorem: Multiple Integrals

Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.

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.

Continuous Functions: Theory and Applications

Explores continuous functions, Cauchy criterion, and function extension by continuity.

Dynamic Systems in Biology

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Stable Estimator of Dynamical System (SEDS)

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Large Scale Stability in Dynamical Systems

Explores large scale stability in dynamical systems and interconnected behavior.

Dynamical System Theory for Engineers

Introduces dynamical system theory for engineers, covering system behavior, stability, and mathematical applications.