Nonlinear control systems - 2.4. Lyapunov Stability Theorem

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  • Опубліковано 21 лип 2024
  • Lecture 2.4: Lyapunov Stability Theorem
    Equilibrium points: • Nonlinear control syst...
    Stability definition - Part 1: • Nonlinear control syst...
    0:00 Introduction
    0:19 Aim
    1:27 Pendulum without friction
    2:59 Stability proof using energy function
    5:05 Pendulum without friction
    5:53 Definitions
    7:03 Examples
    8:20 Lyapunov Stability Theorem
    10:17 Example - 1st order system
    11:22 Example - pendulum without friction
    12:05 Summary

КОМЕНТАРІ • 12

  • @AkiraNakamoto
    @AkiraNakamoto Рік тому +6

    The best video I've seen on the same subject. Liked and saved.

  • @triton62674
    @triton62674 Рік тому +1

    Clearly and concisely explained. thanks!

  • @railwayengineeringinsights6463

    Great explanation. Covered all major aspects.🎉

  • @granluke
    @granluke Рік тому

    Great video! Thank you!

  • @gretarmark
    @gretarmark Рік тому

    Great explanation, thanks!

  • @Andrew-fg3jj
    @Andrew-fg3jj Рік тому

    this video deserves more likes !

  • @johnlovesmath
    @johnlovesmath 9 місяців тому

    Great vid, thanks.

  • @dougengineer95
    @dougengineer95 Рік тому

    Very good !

  • @sudirosudiro4218
    @sudirosudiro4218 10 місяців тому +1

    Why in 11:20 the asymptotic stability only occurs locally? Whereas if we look at V = 1/2 x^2 which is radially unbounded that imply global asymptotic stability?

  • @mouradkaji6034
    @mouradkaji6034 2 роки тому

    hello mr i hope you are good this is amazing explication about lyapunov in youtube but i have own exercise very difficult and i want ask you if you can help me

  • @pandaelon2
    @pandaelon2 Рік тому

    Congratulations

  • @brianmcmurry5915
    @brianmcmurry5915 3 місяці тому

    Hi