Lectures related to Lyapunov Stability in Dynamical Systems

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.

Lyapunov Stability and Chebyshev Inequalities

Explores Lyapunov stability and Chebyshev inequalities in system analysis and control design.

Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

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.

Lyapunov Stability Analysis

Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.

Chaos and Lyapunov Exponents: Analyzing Predictability

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

Stable Estimator of Dynamical System (SEDS)

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

Small Scale Stability: Gradient Systems

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

Lyapunov Stability Theory: Energy Functions and Stability Analysis

Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Dynamical Systems: Maps and Stability

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

Lyapunov II: Stability and Invariance

Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.

Lyapunov Stability: Theory and Applications

Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.

Stability and Reachability in Multivariable Control

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Stability and Eigenvalues of LTI Systems

Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.

Small Scale Stability: Equilibrium Point

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Small Scale Stability: Equilibrium Point

Discusses stability analysis of equilibrium points in dynamical systems.

Discrete-time Systems and Lyapunov Theory

Covers the review of linear discrete-time systems and Lyapunov theory, focusing on stability and equilibria.

Discrete-Time Systems Analysis

Explores Z-transform analysis for discrete-time systems and transfer functions in control systems.

Networked Control Systems: Fundamentals and Stability Analysis

Covers the fundamentals and stability analysis of Networked Control Systems, including software installation, dynamical systems, equilibrium states, and stability testing.