Lecture

Lyapunov Methods: Stability Analysis

Description

This lecture covers the analysis of nonlinear control systems using Lyapunov methods, focusing on Lyapunov functions, stability definitions, and equivalence with linear systems. It also discusses the concept of stability at equilibrium points and the criteria for stability. The lecture delves into formal definitions of stability, viability, and stability candidates by Lyapunov, emphasizing the importance of Lyapunov functions in determining system stability. Additionally, it explores the relationship between mechanical analogies and stability definitions, highlighting the role of energy concepts in stability analysis. The lecture concludes with a detailed examination of Lyapunov stability candidates and their significance in ensuring system stability.

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.