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We introduce the concept of a Lyapunov function.

We discuss how Lyapunov functions can be used to prove the asymptotic stability of a critical points of nonlinear systems of ...

Dive into Lyapunov stability, one of the most fundamental and important concepts in control theory and system dynamics.

We classify the origin, which is a critical point of a nonlinear system, using a Lyapunov function. #mikedabkowski ...

Lecture 2.4: Lyapunov Stability Theorem Equilibrium points: https://youtu.be/mFZNnLykODA Stability definition - Part 1: ...

We describe techniques for proving the existence (or nonexistence) of limit cycles in 2-dimensional systems, that is, testing for ...

Lyapunov functions can be used to prove stability, local asymptotic stability and global asymptotic stability through the Lyapunov ...

MAE 207 Safety for Autonomous Systems Guest Lecturer: Jason Choi, UC Berkeley, https://jay-choi.me/

In this paper, we combine an improving Lyapunov function with automatic controller synthesis in an iterative fashion to obtain ...

UW MEB 547 Linear Systems, 2020-2021 ⌨️ Topics: positive definite matrices and systems, Lyapunov matrix equation ...

MIT 6.832 Final Project.

In this video, we break down Lyapunov stability, a fundamental concept in modern control theory used to analyze the behavior of ...

We sketch out the method for proving local asymptotic stability based on eigenvalues of linearisations using Lyapunov theory.

In this lecture we present a method that combines sum-of-squares programming with extended dynamic mode decomposition to ...

Lyapunov functions are a powerful tool for analyzing the stability of dynamical systems, including chemical reactions and ...

We state the Lyapunov stability theorem, and explain how to construct the Lyapunov function by using physical intuition about the ...

Lyapunov functions 4. LaSalle's invariant set theorems, amongst others. This series is aimed at undergraduates with only some ...

Global stability of systems of ordinary differential equations and the theory of Liapunov functions and level sets.

We analyse stability of a simple system using Lyapunov theory.