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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.

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 ...

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

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

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 ...

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

MIT 6.832 Final Project.

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

Presented by Stephen Boyd at SBRS 2014. The Stanford-Berkeley Robotics Symposium brought together roboticists from ...

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

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

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

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

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

Thanks to Lyapunov's theory, this task can be reduced to searching for a so-called Lyapunov function. Python code included as ...

Control Lyapunov Functions; Feedback Control Law; Inverse Optimality.