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

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In this tutorial, we provide an introduction to Lyapunov's stability analysis of dynamical systems. We state the Lyapunov stability theorem, and explain how to construct the Lyapunov function by using physical intuition about the system. We explain how to construct the Lyapunov function for the pendulum dynamical system.

[@aleksandarhaber]

It takes a significant amount of time and energy to create these free video tutorials. You can support my efforts in this way:
- Buy me a Coffee: www.buymeacoffee.com/AleksandarHaber
- PayPal: www.paypal.me/AleksandarHaber
- Patreon: www.patreon.com/user?u=32080176&fan_landing=true
- You Can also press the Thanks TH-cam Dollar button

[@krisnaanandakusuma9426]

hands down to this awesome explanation with examples of Lyapunov stability analysis!!! I can easily grasp every contents presented in this video! great work!!!

[@aleksandarhaber]

That is the purpose of this channel.

[@foobarAlgorithm]

How on earth are your videos having so few viewers and subscribers, youtube should improve their algorithm. Thankyou for your videos! You deserve to be famous, liking and commenting for the algorithm!

[@aleksandarhaber]

Thank you for the comment. This channel is growing rapidly.

[@markmisin]

Amazing explanation! Thank you!

[@aleksandarhaber]

Thank you!

[@darkman4756]

thanks for this content....kindly make an video on multi agent rl

[@aleksandarhaber]

I will when the time allows

[@user-gd2jn8vj1n]

Great video, thanks for putting in the time! At 9:28, shouldn't it be V(x) > 0 for all x unequal 0, meaning there the equal sign should be crossed?

[@aleksandarhaber]

It should be V(0)=0 and otherwise V(x)>0, for all x not equal to zero. That is what is written and what I said. Consequently, there are no errors.

[@nokeli70m38]

Can you help me to analyze the stability of a weighted multiple model adaptive control?

[@aleksandarhaber]

Hi, I am not able to provide free help for such complex problems. These problems require extensive time and dedication. You can visit my consulting page for professional consulting services. However, they are oriented toward companies that need an engineering professional.

[@nokeli70m38]

@@aleksandarhaber consulting page?

[@aleksandarhaber]

@@nokeli70m38 Send me an email to [e-mail]
Make a short introduction to who you are, what you need, and describe the problem that you need to solve.

[@srmusichouse5012]

Nyc

[@aleksandarhaber]

?