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lyapunov exponent

lyapunov stability example problems

lyapunov stability theorem

richard pates
What is a Lyapunov function

We introduce the concept of a Lyapunov function.

10:53
What is a Lyapunov function

58,749 views

4 years ago

Prof. Giordano Scarciotti
A Visual Explanation of Lyapunov Stability

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

18:37
A Visual Explanation of Lyapunov Stability

51,133 views

2 months ago

Mike, the Mathematician
Lyapunov Functions

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

7:03
Lyapunov Functions

5,323 views

2 years ago

Robotic Systems Control
Nonlinear control systems - 2.4. Lyapunov Stability Theorem

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

12:31
Nonlinear control systems - 2.4. Lyapunov Stability Theorem

32,406 views

4 years ago

Mike, the Mathematician
Lyapunov Function: An Example

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

5:28
Lyapunov Function: An Example

3,130 views

2 years ago

People also watched

Steve Brunton
Lagrangian Coherent Structures (LCS) in unsteady fluids with Finite Time Lyapunov Exponents (FTLE)

Fluid dynamics are often characterized by coherent structures that persist in time and mediate the behavior and transport of the ...

45:53
Lagrangian Coherent Structures (LCS) in unsteady fluids with Finite Time Lyapunov Exponents (FTLE)

39,177 views

4 years ago

Dr. Shane Ross
Lyapunov Exponents & Sensitive Dependence on Initial Conditions

One signature of chaos is sensitive dependence on initial conditions, quantified using Lyapunov exponents, which measure ...

10:22
Lyapunov Exponents & Sensitive Dependence on Initial Conditions

12,583 views

4 years ago

KYP TeachTech
L3: 3 - Lyapunov stability

Video lectures by Kristin Y. Pettersen Animation and editing: Albert Sans-Muntadas.

21:33
L3: 3 - Lyapunov stability

21,832 views

7 years ago

Desdenova
Lyapunov's Fractal (that Lyapunov knew nothing about) #SoME2

Hi everyone! I hope you enjoy my first video. I've known about Markus-Lyapunov Fractals for a few years now, and it surprised me ...

24:42
Lyapunov's Fractal (that Lyapunov knew nothing about) #SoME2

358,357 views

3 years ago

underactuated
6.8210 Spring 2024 Lecture 8: Computing Lyapunov Functions I

Mar 05 2024.

1:23:57
6.8210 Spring 2024 Lecture 8: Computing Lyapunov Functions I

2,576 views

1 year ago

Maths Partner
Defining Stability using Lyapunov Functions (Energy Functions)

Hello so in this video I want to talk about this idea of a liuna function now if you remember we've met liia off before when we were ...

27:33
Defining Stability using Lyapunov Functions (Energy Functions)

72,057 views

9 years ago

Jason Bramburger
Lyapunov Exponents - Dynamical Systems | Lecture 31

A hallmark of chaos is "sensitive dependence on initial conditions", which roughly states that trajectories that start close together ...

16:54
Lyapunov Exponents - Dynamical Systems | Lecture 31

11,688 views

2 years ago

Steve Brunton
Chaotic Dynamical Systems

This video introduces chaotic dynamical systems, which exhibit sensitive dependence on initial conditions. These systems are ...

44:01
Chaotic Dynamical Systems

51,516 views

3 years ago

Aleksandar Haber PhD
Intuitive Understanding of Lyapunov's Stability Analysis with Example

controlengineering #controltheory #controlsystem #machinelearning #robotics #roboticseducation #roboticsengineering ...

18:01
Intuitive Understanding of Lyapunov's Stability Analysis with Example

4,770 views

2 years ago

Justin Ruths
Class 26: Lyapunov Stability

... this dynamics equation if we come up with a Lyapunov equation or function again we might consider the energies of the system ...

17:06
Class 26: Lyapunov Stability

42,418 views

6 years ago

Mechanical Stan
What is Lyapunov Stability?

Lyapunov Stability: How control engineers prove a system won't spiral into chaos without solving the full equations.

1:01
What is Lyapunov Stability?

4,700 views

4 months ago

Dr. Shane Ross
Limit Cycles, Part 2: Analytical Tests for Limit Cycles- Lyapunov Functions, Dulac's Criterion

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

15:36
Limit Cycles, Part 2: Analytical Tests for Limit Cycles- Lyapunov Functions, Dulac's Criterion

10,683 views

4 years ago

richard pates
The Lyapunov stability theorem

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

9:11
The Lyapunov stability theorem

69,798 views

4 years ago

UCSD Safe Autonomous Systems Lab
Jason Choi -- Introduction to Control Lyapunov Functions and Control Barrier Functions

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

1:20:46
Jason Choi -- Introduction to Control Lyapunov Functions and Control Barrier Functions

41,868 views

4 years ago

Machine Learning and Dynamical Systems Seminar
Arash Mehrjou:  Neural Lyapunov Redesign

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

58:27
Arash Mehrjou: Neural Lyapunov Redesign

521 views

3 years ago

Stanford Autonomous Systems Laboratory
120 Years of Lyapunov's Methods

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

45:01
120 Years of Lyapunov's Methods

12,321 views

11 years ago

Songyuan Zhang
Learning Control Lyapunov Functions for the F-16 System with Unknown Dynamics

MIT 6.832 Final Project.

3:00
Learning Control Lyapunov Functions for the F-16 System with Unknown Dynamics

580 views

3 years ago

Gradual Growth 8
Linear Systems: 16-Lyapunov function and Lyapunov Equation

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

1:39:54
Linear Systems: 16-Lyapunov function and Lyapunov Equation

12,377 views

4 years ago

Gradual Growth 8
🔹 Understanding Lyapunov Stability in Modern Control Systems 🔹

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

11:05
🔹 Understanding Lyapunov Stability in Modern Control Systems 🔹

23,510 views

10 months ago

richard pates
Stability of linearisations using Lyapunov functions

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

20:39
Stability of linearisations using Lyapunov functions

8,379 views

4 years ago

Aleksandar Haber PhD
Introduction to Lyapunov's Stability Analysis of Dynamical Systems  with Examples

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

35:56
Introduction to Lyapunov's Stability Analysis of Dynamical Systems with Examples

12,393 views

2 years ago

Emmanuel Jesuyon Dansu
30. Lyapunov Functions and Stability

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

46:54
30. Lyapunov Functions and Stability

52 views

9 months ago

Maison C
Lyapunov Theory (Part 1: Nonlinear systems)

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

6:41
Lyapunov Theory (Part 1: Nonlinear systems)

15,528 views

4 years ago