Nonlinear control systems - 3.1. LaSalle's Invariance Principle

Lecture 3.1: LaSalle's Theorem

0:00 Introduction
0:19 Motivation
1:02 Positively invariant sets
1:13 Example 1
1:58 Example 2
2:46 LaSalle's Invariance Principle
3:27 Example 3: Pendulum with friction
7:05 Example 4: Mass-spring-damper
9:00 Lyapunov vs LaSalle's Theorem

[himat]

Excellent video. Awesome presentation on each and every topic!

[controlswithmatlab]

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

[vahidbabaie]

Thanks for your informative lecture. It was so helpful.

[mustafamosavy]

Nice presentation🎉

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

[tammineniharinarayana]

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.

[edhermisaelcarbajalrosales]

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!

[cheezylp]

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

[advancedappliedandpuremath]

Sir, Where can i get these pdf notes.

[tech_science_tutos]

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

[aminatussaadah]

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

[tech_science_tutos]

why in lasalle V can be non positive definite