L4: 5 - Lyapunov theorem for exponential stability

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  • เผยแพร่เมื่อ 26 ต.ค. 2024
  • Video lectures by Kristin Y. Pettersen
    Animation and editing: Albert Sans-Muntadas

ความคิดเห็น • 18

  • @ihsankadhim2971
    @ihsankadhim2971 3 หลายเดือนก่อน

    It's a valuable and enjoyable lecture.

    • @KYPTeachTech
      @KYPTeachTech  หลายเดือนก่อน

      I am glad you liked it😊

  • @jaredschmal3347
    @jaredschmal3347 3 ปีที่แล้ว

    These lectures are amazing!! I was struggling to grasp the concepts, but you have made them extremely clear. Thank you so much!

    • @KYPTeachTech
      @KYPTeachTech  3 ปีที่แล้ว

      Thank you - this is great to hear!😊

  • @uddipanbaruah6021
    @uddipanbaruah6021 4 ปีที่แล้ว +2

    maam is this the last lecture? please continue more and if possible on networked event triggered non linear control systems. Thank you for all your wonderful lectures i deeply appreciate it and waiting eagerly for future videos as well..

    • @KYPTeachTech
      @KYPTeachTech  4 ปีที่แล้ว

      Thank you for your positive comment! I would like to create more videos, but it does take a lot of time and for the time being I am swamped with work.

    • @uddipanbaruah6021
      @uddipanbaruah6021 4 ปีที่แล้ว

      @@KYPTeachTech ok maam thank you for your wonderful lectures 😊

  • @controlTheoryChamps
    @controlTheoryChamps 4 ปีที่แล้ว +1

    These lectures are fantastic. Could you please explain the nonlinear control design techniques, such as SMC, Lyapunov redesign, PBC, among others? Thank you, I appreciate...!!!

    • @KYPTeachTech
      @KYPTeachTech  4 ปีที่แล้ว +1

      Thank you for your positive comment!😊 I would very much like to create more videos, including on nonlinear control design techniques, but for the time being there is just not any vacant time.

  • @omerabdo8674
    @omerabdo8674 3 ปีที่แล้ว

    Thank you for the effort Prof. This course was very helpful, especially visualization and Matlab comupting. It helped in understanding and sensing what Lyapunov had sensed :)
    I am wondering if there are any plans of yours to continue deeper into nonlinear control or other topics releated to nonlinear control.

  • @mahmoudgadelrab5133
    @mahmoudgadelrab5133 4 ปีที่แล้ว

    Amazing lectures

  • @pratikprajapati8620
    @pratikprajapati8620 5 ปีที่แล้ว +1

    muchas gracias

  • @josuemanuelparejacontreras3443
    @josuemanuelparejacontreras3443 4 ปีที่แล้ว

    The content of this course was great thank you, I have one question, on equation at 4:41 exponential power include the tern "a", but when defining the conversion rate at 14:29 it was not included, chosen "a" was a=2, so the exponential power should not be -t/2??
    Again thank you very much for this course!!

    • @KYPTeachTech
      @KYPTeachTech  4 ปีที่แล้ว

      Note that k_2=1/2 and thus k2*a = 1

  • @hajranaeem4614
    @hajranaeem4614 3 ปีที่แล้ว

    Can we prove unstability of a system using lyapunov direct method?

    • @KYPTeachTech
      @KYPTeachTech  3 ปีที่แล้ว +1

      There also exist instability theorems to establish that an equilibrium point is unstable. The most well-known is Chetaev´s theorem which is given as Theorem 4.3 in the course textbook Hassan K. Khalil: Nonlinear systems, 3rd edition, Prentice-Hall, 2002.

    • @hajranaeem4614
      @hajranaeem4614 3 ปีที่แล้ว

      @@KYPTeachTech thank you so much for tge response. I have another query. if vdot (x) is positive definite for a given system, and we can't mange to find a V such that vdot(x) is negative definite so can we say then that the equilibrium point is unstable?

  • @Life64644
    @Life64644 3 ปีที่แล้ว

    Urgent help please
    How can I tune my nonlinear controller constants? The error coefficients!!!
    Please help!
    Thanks