Stability Analysis, State Space - 3D visualization

Introduction to Stability and to State Space. Visualization of why real components of all eigenvalues must be negative for a system to be stable. My Patreon page is at / eugenek

[@EugeneKhutoryansky]

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[@thevikingwarrior]

How can I make a video like this? I know that I need things like Blender. I wanna use my computer to make videos like you are. What sort of things do you have to do? How do you get people to view them and so on. Tell me all about what you have done to make this happen?

[@fakherhalim]

I cannot think of any other 24 minutes video ON THE PLANET that can explain systems' stability so clearly!
I wish I could recommend your channel for an AWARD! You guys really understand Physics and Math!

[@EugeneKhutoryansky]

Thanks for that really great compliment.

[@feynstein1004]

He's just a guy, actually. Not guys. :)

[@fakherhalim]

That is incredible. I thought it would be a team of people -- carefully planning, doing all the math, preparing through chores of simulations, and final presentations -- just unbelievable amount of work so nicely done just by a single guy!

[@99Gara99]

@@fakherhalim Eugene can be a he or a she

[@brunocalhiari976]

@@99Gara99 by the voice I guess it is a she...

[@EugeneKhutoryansky]

If you like this video, you can help more people find it in their RUclips search engine by clicking the like button, and writing a comment. Thanks.

[@godsadog]

I am currently highly interested in equilibria, especially in dissipative systems. I was SO excited seeing your novel video regarding equilibrium points. Thanks!

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I know what you're saying

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Physics Videos by Eugene Khutoryansky, commenting is the least we can do to thank you for your exceptional legacy!

[@cameronspalding9792]

If a differential equation has positive eigenvalues: then it’s unstable: like d^2 y/dx^2 =y then it’s unstable

[@anjishnu8643]

Stable, unstable and marginally stable explained through eigenvalues altered my entire perception of control systems. Extremely grateful for your videos.

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one of the most underrated RUclips channels.

[@EugeneKhutoryansky]

Thanks for the compliment.

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[@EugeneKhutoryansky]

Glad to provide people with a happy start to their day. :)

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[@EugeneKhutoryansky]

Thanks for the compliment about my videos.

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thanks eugene for redefining what education should be

[@EugeneKhutoryansky]

Thanks.

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I check your channel daily for new videos. I especially like the one's explaining space-time. Great job!

[@EugeneKhutoryansky]

Thanks. By the way, if you subscribe to my channel, you can set up your RUclips settings so that you will get an automatic email notifying you each time I upload a new video.

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you should be given some sort of award for having that much determination to help out a section of students.... Kudos !!!!!

[@EugeneKhutoryansky]

Thank you.

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One of the high quality useful content channels on youtube. Keep them coming! :)

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This is without a doubt one of the best scientific channels in RUclips; You always keep impress us with your videos !
Thanks for this great video and for all of your work.

[@EugeneKhutoryansky]

Thanks for the compliment.

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Amazing video. The wait was totally worth it. Can't wait for more videos from you, Eugene. You're an inspiration to me. :)

[@UifaleanAlexandru]

THIS IS SIMPLY AMAZING! Nobody has been able to provide such a deep intuition! Well done.

[@EugeneKhutoryansky]

Thanks for the compliment about my video.

[@adrianperez1404]

this is incredible I have such a more clear understanding of the relationship between eigenvalues and stability. you're doing a great service to us Eugene thank you so much

[@EugeneKhutoryansky]

Thanks.

[@connemignonne]

I'm always so excited for new content from you, and this was particularly enlightening! Thankyou so much!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@senthilkumaranmahadevan6531]

I have never come across such a stunning explanation which gives such an insight to the Eigen vectors and stability.
Dear Eugene Khutoryansky you are a real teacher ........ Great.
your contribution to the intellectual society is great great great
I petty those who disliked this video.
As a teacher i see the quality of work. brilliant

[@EugeneKhutoryansky]

Thanks for the compliments.

[@EugeneKhutoryansky]

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I got an adrenaline rush when I saw your new video in the sub feed.

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Lmao dude

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My brain always gets a semi when I see a new video

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Thank you Eugene for helping me understand and become excited about many of the intuitions and underlying mathematics behind simple and complex ideas.

[@EugeneKhutoryansky]

Thanks.

[@AJ-et3vf]

Awesome video about state-space representation! Immensely lucid and greatly represented, allowing one to have an intuition of the concepts involved. The music is also calming and engaging. Great work!

[@EugeneKhutoryansky]

Thanks for the compliments. I am glad you liked my video.

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Real quality and effort making these videos. Thank you!

[@EugeneKhutoryansky]

Thanks for the compliment about my videos.

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[@EugeneKhutoryansky]

Thanks for the compliment about my videos.

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Your video reaches as always such a level of perfection, it is so beautiful, from the music and the animation and mostly to the wonderful physics questions you raises. You are very good at making understandable this very odd way science describes the world now. Thank you a lot for that !

[@EugeneKhutoryansky]

Thanks for the compliment about my videos.

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we're waitin' further ones

[@EugeneKhutoryansky]

Thanks for the compliment about my videos. More are on their way.

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[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

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[@EugeneKhutoryansky]

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Very well explained. Thanks for showing us the easy yet effective way of learning tricky physical concepts that would have otherwise be rote learned if restricted to the text book.

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@pravii444]

Pure Love towards teaching. Thanks for the explanation.

[@EugeneKhutoryansky]

Thanks.

[@ZombieSS77]

This seems like a great introduction to the underlying concepts of control theory for LTI systems. This made some great connections for me. It now makes much more sense that poles in the left half plane of a root locus plot mean the system is stable and how the math is used to move right half poles to the left side. I knew that piece of knowledge, but didn't understand it until now.

[@mnada72]

As alway ... genus explanation and demonstration for the topic .... this the first time that I know what is the use of eigenvalues and eigenvectors...I hope your videos span over all scientific topics so that no more misunderstanding or lack of understanding.

[@mnada72]

After 2 years, seems like the first time. What a pity 😕

[@teemo8247]

Wow! All of these things you shown makes sense!

[@EugeneKhutoryansky]

Glad to hear that.

[@11Petrichor]

Excellent information! Thank you! Looking forward to more:)

[@jaredcollette442]

Wonderful! I really enjoyed the explanation on how eigenvalues visually relate to stability. I've known the math for years but only now understand the visualization. Thank you! :)

[@EugeneKhutoryansky]

Thanks. Glad I was able to help you visualize it.

[@VlanimationTales]

Lovely explanation of equilibrium positions! The eigenvalues add a whole new dimension to the thought process. 😊

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@VlanimationTales]

@@EugeneKhutoryansky You're welcome! 😉

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[@EugeneKhutoryansky]

Thanks!

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Fantastic video as usual! This reminds me that I think many students would find a video on partial derivative error propagation useful

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absolutely LOVE your videos, keep it up!

[@jimlbeaver]

Really great video. I always wondered how stability analysis was done. Thanks!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

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Such an intuitive explanation. If you did a whole such course on math on Udemy etc., I would definitely pay to learn from it.

[@firelow]

this is just too interesting. when I saw the complex eigenvalue with a negative real part I just screamed "ITS THE HELICOPTER"

[@pronounjow]

The helicopter is the positive real part.

[@cript3232]

The animations are as well done as the explanations as always.

[@EugeneKhutoryansky]

Thanks for the compliment.

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[@EugeneKhutoryansky]

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[@EugeneKhutoryansky]

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[@EugeneKhutoryansky]

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This is really impressive. Nice work

[@EugeneKhutoryansky]

Thanks for the compliment.

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Perfectly explained! Thanks

[@EugeneKhutoryansky]

Thanks. Glad you liked my explanation.

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[@EugeneKhutoryansky]

Thanks for the compliment about my video.

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[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

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😊All your videos are amazing.. have not seen such visualisation of concepts.. hats off to ur great effort.. the visualisation, voice, 3d effects, framing of concepts, everything is superb, it helped me a lot to understand the theortical things we always constrained to cram..Thanks a ton to make them so interesting...🙏🙂👌👌

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@Mau365PP]

I wish my control system class was like this, Thank you!

[@EugeneKhutoryansky]

Glad you liked my video. Thanks.

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Amazing graphic explanation!!

[@EugeneKhutoryansky]

Thanks.

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[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

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[@EugeneKhutoryansky]

Thanks for the compliment.

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The Legend

[@danielboisa]

Nice! Just perfect to understand stability!

[@EugeneKhutoryansky]

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[@EugeneKhutoryansky]

Thanks.

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how do you manage to make the animations? must take ages

[@EugeneKhutoryansky]

I make my 3D animations with "Poser."

[@engineerallen5156]

must take you hundreds of hours

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Useful for control engineering concepts which has state space analysis as a fundamental concept and requirement. Kindly do more on control engineering related concepts!! Such an abstract field requires such amazing and novel methods of presentations!! Only you can do this....

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Beautiful video!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@minasalehi2023]

Great! I always wondered why on earth we should have these two equations and now I realize! thank you so much

[@EugeneKhutoryansky]

Thanks. I am glad my video was helpful.

[@johnhippisley9106]

How incredible of an insight to represent the state of an insight as a vector in a space. Now geometry can be used to solve these complicated problems! Who had this revelation?

[@christiancordeiro3030]

this was very well presented, really helps to know what im actually looking at

[@EugeneKhutoryansky]

Thanks. I am glad you liked my video.

[@christiancordeiro3030]

@@EugeneKhutoryansky I had a question about how a system can have 2 state vectors. So how can we have 2 blue and white vectors for the X1 and X2 plot. Appreciate any feedback.

[@EugeneKhutoryansky]

We have vectors for "X1" and "X2", and we also have vectors for "d(X1)/dt" and "d(X2)/dt."

[@christiancordeiro3030]

@@EugeneKhutoryansky I thought that the vector is a combination of X1 and X2 points, so how can do of those vectors exist at the same time

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Oh yeah sick video. I just learned another application of complex numbers.

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It was a very useful explanation. Thank's.

[@EugeneKhutoryansky]

Glad you liked my explanation. Thanks.

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[@EugeneKhutoryansky]

Thanks. I am glad you liked it.

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ahh. this would've saved my butt in Lagrange. Thanks for making it seem so simple.

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just perfect explanation :)

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[@EugeneKhutoryansky]

Thanks.

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Great explanation for linearity in a system

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[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

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[@EugeneKhutoryansky]

Thanks for the compliment. I did talk a little about automatic control systems in this video, though I may also do more videos on this topic in the future. Thanks.

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This video was really cool thanks man!

[@EugeneKhutoryansky]

Glad you liked it. Thanks.

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[@EugeneKhutoryansky]

Glad you liked my video.

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[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you like my videos.

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[@EugeneKhutoryansky]

Glad you liked it.

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[@EugeneKhutoryansky]

I am glad to hear that. Thanks.

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[@EugeneKhutoryansky]

Thanks for the compliment.

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Great explanation

[@EugeneKhutoryansky]

Thanks for the compliment. I am glad you liked it.

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Thank you. This is very helpful.

[@EugeneKhutoryansky]

You are welcome and thanks.

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[@EugeneKhutoryansky]

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[@EugeneKhutoryansky]

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Keep explaining all the mathematical equations physically, what they really mean & let the world know they are not just for playing by substituting numbers..

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[@EugeneKhutoryansky]

Thanks for the compliment.

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[@EugeneKhutoryansky]

Glad you liked it. Thanks.

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The music is also excellent.

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[@EugeneKhutoryansky]

Thanks. Glad you liked it.

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[@EugeneKhutoryansky]

I am glad you liked my video. Thanks.

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[@EugeneKhutoryansky]

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[@EugeneKhutoryansky]

Thanks. More videos on all topics, including mathematics, are on their way.