Nonlinear control systems - 3.1. LaSalle's Invariance Principle

[@himat4950]

Excellent video. Awesome presentation on each and every topic!

[@controlswithmatlab6986]

Thank you so much! After watching this, the principle looks trivial

[@vahidbabaie2962]

Thanks for your informative lecture. It was so helpful.

[@hasanayaz6946]

great explanation. thanks a lot.

[@raghus316]

Awesome Explanation!

[@edhermisaelcarbajalrosales6460]

At 6:10 sin(x_1) culd be 0 when x_1=k*pi where k is a positive integer. Doesn't that mean that we have multiple equilibrium points? BTW, Excellent video it helped me a lot to understand this topic!

[@gauravkumawat5756]

It is an example of multiple equilibrium points, but generally 0,0 are used.

[@chandreshsharma5077]

That was very helpful. Thanks a lot

[@mustafamosavy4458]

Nice presentation🎉 Where you made the slides and this animation ? I would be thankful to get an answer on that ❤

[@tammineniharinarayana6978]

Thank you sir!! Is there any special case of \dot(V) is not negative definite not semi negative definite, still can we prove it is asymptotically stability?. Note: I can't change my Lyapunov function.

[@cheezylp]

Do you have code for your matlab simulations? would be curious to get some insights

[@menganbale7562]

Thank you!

[@tech_science_tutos4155]

omega +invariant is it equivalent to stable system in lyapunov sens?

[@advancedappliedandpuremath]

Sir, Where can i get these pdf notes.

[@aminatussaadah2444]

Hello sir, may I ask what's textbook you use in this video?

[@RoboticSystemsControl]

LaSalle’s Theorem is from “Nonlinear Systems” by Hassan Khalil (3rd Edition). See Theorem 4.4 in this book.

[@tech_science_tutos4155]

why in lasalle V can be non positive definite

[@junninghuang4343]

From the example in "Nonlinear Systems" by Hassan Khalil, the Lyapunov function of Lasalle principle is also chose to be positive definite.