Lecture
Lyapunov Stability Analysis
In course
DEMO: ipsum magna anim ad
Non cillum exercitation in esse culpa veniam. Ipsum voluptate elit occaecat id ipsum nulla commodo excepteur exercitation excepteur. Enim ad et dolore sint cupidatat sit excepteur. Ad nostrud voluptate Lorem magna irure elit.
Description
This lecture covers the Lyapunov stability analysis, focusing on the concept of Lyapunov functions, stability criteria, and the application to robotic systems. It discusses the use of Lyapunov functions to analyze the stability of dynamical systems and the conditions for asymptotic stability. The lecture also explores the process of selecting Lyapunov functions and verifying stability through the power balance method. Additionally, it delves into the importance of introducing matrices in the stability analysis and the significance of positive definite matrices. The presentation concludes with a detailed explanation of how to verify stability and asymptotic stability using Lyapunov functions.
Instructor
tempor aliqua est
Proident velit occaecat ipsum laboris reprehenderit est sit proident ex elit cillum pariatur nulla. Est culpa esse incididunt incididunt consectetur consectetur duis nulla ullamco. Velit pariatur nostrud incididunt incididunt nulla amet anim cillum est qui mollit voluptate. Eu aliquip occaecat labore commodo exercitation ea sit deserunt laborum.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related lectures (32)
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.
Stable Estimator of Dynamical System (SEDS)
Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.
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.
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.