To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
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?
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!
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!
I am currently highly interested in equilibria, especially in dissipative systems. I was SO excited seeing your novel video regarding equilibrium points. Thanks!
new vid by eugene. its almost like connecting to an actual presence. it gets me motivated, gets me elevated, gets me to another dimension. aint nothing like it. you know what i mean. you know what im saying? i could vape to that bruh
Stable, unstable and marginally stable explained through eigenvalues altered my entire perception of control systems. Extremely grateful for your videos.
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.
Impressive! I remember you mentioning on a comment that you were preparing this video, and I was waiting for this moment. Your videos are of an amazing quality and personality!! Thank you
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?
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
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.
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.
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.
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.
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
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ruclips.net/user/timedtext_video?ref=share&v=p9qrHdPEe28 You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
@@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.
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!
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 !
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! :)
This video is Bloody Ace's! Brilliant. As a left and right brained person this is all I need to understand why my homework is now correct. Thank you for making this.
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....
7:06 when the deviations from any equilibrium point are small, any non-linear system can be appoximated to a linear one, pretty good, I do electrochemical impedance, this is always the asumption.
😊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...🙏🙂👌👌
@Physics Videos by Eugene Khutoryansky How about taking gravity out of picture in the ball, hill & valley example? I guess equilbrium is a relative term.
Eugene Khutoryansky You make some sweet videos with awesome animations! However, I'm going to be a critic on this one because you did some things that could trip people up easily. The rest of this comment is addressed to Eugene, but it is really for the people who watched the video, got lost, but feel they shouldn't have. At 11:14, the axes changed to x1, x2, so that you were dealing with a 2x2 system of linear ODEs of the form (dx_1/dt; dx_2/dt) = A(x_1; x_2) instead of a 1x1. I did not notice that at first, so I was confused until I noticed the change. At 12:20, you could've explained how all linear combinations of the eigenvectors represent all states. Finally, starting at 16:46, even though you explicitly stated you were only showing a solution corresponding to one variable, it would have been better, in my opinion, to show all of the components of the solution on separate graphs. I imagine some people got immediately confused because it only showed one component (in this case the blue vector) of the solution. Technically, the blue vector you show is not the vector with eigenvalues (1/2)i and (-1/2)i. An eigenvector must contain all the variables of the system. The only other criticism I have is it would have helped students more effectively if you had shown more equations that explicitly show the things you were referring to. Other than that, you produced a very good and accurate video for people to learn from. Respectfully, James W
at 8:35 you say that the rate in change of the state can be represented by a vector. (White arrow) This vector is also changing? And can THAT change in vector be represented by another vector? Do these vectors have names? (Like the change in velocity is called acceleration and the change in acceleration is called a jerk?)
Math becomes intuitive once you realize what it represents! I didn't like math until I started learning physics. Have you considered tackling the Einstein Field Equations? The visualizations of tensors and differential geometry would make the scary looking math click for so many people.
So can we think about equilibrium points on terms of energy needed to cause a change? A non-equilibrium point would require energy to _stop_ the ball from moving, a non-stable equilibrium point would require very little energy to cause it to move and a stable point would require more energy to get it moving.
Great video and the greatest chanell about science. Your visualisations of differents phenomena of the nature, of laws of physics, of мathematical equations are very understandable and intelligible. Many concepts have become more clear for me. Your job is the art of education! If you can please make video abour automatic control systems
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.
I figure I am now far enough beyond the best part being long gone to want to know the name of the tune that goes with this video (rather than only take it for granted). But as far as I have mostly gotten lately is stacks of strings of memory cells could have made a kid seem cool enough to find a girl while the above statement was far enough in the future not to worry about much. Another topic to consider is how this thing that seems to skip a beat can count and can be used to switch which of two memory cells is connected to the input of what its now part of and which output the (memory cells) are connected to as well as erasing one on time to use it to memorize what's at the input next. And how that memorizing , switching , erasing concept has other uses as well . Other than that these videos with their elevating etc. images set to that kind of music and the way the narrator speaks are really pieces of work to be admired.
Well, the "heavy object on a rubber sheet" analogy is okay as far as it goes. It allows us to visualize *_one_* tiny slice of how gravity is affecting space around the object. The problem is, that all of the space around the object _cannot_ be visualized. Never mind.
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
--To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video.
--If you believe that the translation in the subtitles can be improved, please send me an email.
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?
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!
Thanks for that really great compliment.
He's just a guy, actually. Not guys. :)
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!
@@fakherhalim Eugene can be a he or a she
@@99Gara99 by the voice I guess it is a she...
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.
I am currently highly interested in equilibria, especially in dissipative systems. I was SO excited seeing your novel video regarding equilibrium points. Thanks!
new vid by eugene. its almost like connecting to an actual presence. it gets me motivated, gets me elevated, gets me to another dimension. aint nothing like it. you know what i mean. you know what im saying?
i could vape to that
bruh
I know what you're saying
Physics Videos by Eugene Khutoryansky, commenting is the least we can do to thank you for your exceptional legacy!
If a differential equation has positive eigenvalues: then it’s unstable: like d^2 y/dx^2 =y then it’s unstable
Stable, unstable and marginally stable explained through eigenvalues altered my entire perception of control systems. Extremely grateful for your videos.
you should be given some sort of award for having that much determination to help out a section of students.... Kudos !!!!!
Thank you.
one of the most underrated RUclips channels.
Thanks for the compliment.
pranay reddy r u here cuz of control systems?
the*
I love you @pranay reddy
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.
After 2 years, seems like the first time. What a pity 😕
Woooaah! This is GOLD! I am not even finished with the video but just can't resist thanking the creator. BEST!!
Thanks. I am glad you liked my video.
There is no better start for the day than drinking my morning coffee and watching Eugene's newest video.
Glad to provide people with a happy start to their day. :)
thanks eugene for redefining what education should be
Thanks.
fuck you bajgai
this is just too interesting. when I saw the complex eigenvalue with a negative real part I just screamed "ITS THE HELICOPTER"
The helicopter is the positive real part.
Impressive! I remember you mentioning on a comment that you were preparing this video, and I was waiting for this moment. Your videos are of an amazing quality and personality!! Thank you
Thanks for the compliment about my videos.
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?
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
Thanks for the compliments.
Great! I always wondered why on earth we should have these two equations and now I realize! thank you so much
Thanks. I am glad my video was helpful.
I check your channel daily for new videos. I especially like the one's explaining space-time. Great job!
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.
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.
Thanks. I am glad you liked my explanation.
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.
Thanks for the compliment.
Lovely explanation of equilibrium positions! The eigenvalues add a whole new dimension to the thought process. 😊
Thanks. I am glad you liked my explanation.
@@EugeneKhutoryansky You're welcome! 😉
This is better than a whole semester of classes in a university
Thanks for the compliment about my video.
THIS IS SIMPLY AMAZING! Nobody has been able to provide such a deep intuition! Well done.
Thanks for the compliment about my video.
I got an adrenaline rush when I saw your new video in the sub feed.
Lmao dude
My brain always gets a semi when I see a new video
Oh yeah sick video. I just learned another application of complex numbers.
OMG, you are the best professor in the world
Thanks for the compliment.
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.
Thank you Eugene for helping me understand and become excited about many of the intuitions and underlying mathematics behind simple and complex ideas.
Thanks.
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
Thanks.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
ruclips.net/user/timedtext_video?ref=share&v=p9qrHdPEe28
You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
Details about adding translations is available at
support.google.com/youtube/answer/6054623?hl=en
Thanks.
this was very well presented, really helps to know what im actually looking at
Thanks. I am glad you liked my video.
@@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.
We have vectors for "X1" and "X2", and we also have vectors for "d(X1)/dt" and "d(X2)/dt."
@@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
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!
Thanks for the compliments. I am glad you liked my video.
this has to be one of the most educational videos on youtube.. so clear and understandable
Thanks for the compliment about my videos.
Nice! Just perfect to understand stability!
Thanks for the compliment.
Such an intuitive explanation. If you did a whole such course on math on Udemy etc., I would definitely pay to learn from it.
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 !
Thanks for the compliment about my videos.
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! :)
Thanks. Glad I was able to help you visualize it.
Wow! All of these things you shown makes sense!
Glad to hear that.
I feel this is one of the most underrated channel.
Thanks!
One of the high quality useful content channels on youtube. Keep them coming! :)
Amazing video. The wait was totally worth it. Can't wait for more videos from you, Eugene. You're an inspiration to me. :)
Pure Love towards teaching. Thanks for the explanation.
Thanks.
This video is Bloody Ace's! Brilliant. As a left and right brained person this is all I need to understand why my homework is now correct. Thank you for making this.
Thanks for the compliment about my video.
I'm always so excited for new content from you, and this was particularly enlightening! Thankyou so much!
Thanks. I am glad you liked my video.
I wish my control system class was like this, Thank you!
Glad you liked my video. Thanks.
ALL VIDEOS ARE UTTERLY WONDERFUL.
we're waitin' further ones
Thanks for the compliment about my videos. More are on their way.
ahh. this would've saved my butt in Lagrange. Thanks for making it seem so simple.
this is one of the best channels for knowledge
actually i mean intelligence
Thanks.
how do you manage to make the animations? must take ages
I make my 3D animations with "Poser."
must take you hundreds of hours
The best channel on youtube. Thanks for the amazing video.
Thanks for that really great compliment.
Fantastic video as usual! This reminds me that I think many students would find a video on partial derivative error propagation useful
this is an absolute gem.
Thanks. I am glad you liked my video.
The best youtube channel. I have fallen love with it. Best wishes for you
Thanks for that really great compliment.
I feeling honored as you replied. I wish one day I can work with you
Real quality and effort making these videos. Thank you!
Thanks for the compliment about my videos.
Really great video. I always wondered how stability analysis was done. Thanks!
Thanks. I am glad you liked my video.
The animations are as well done as the explanations as always.
Thanks for the compliment.
Amazing explanation and visualization
Thanks for the compliment.
Wow, so much meaning in one video.
Thanks.
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....
7:06 when the deviations from any equilibrium point are small, any non-linear system can be appoximated to a linear one, pretty good, I do electrochemical impedance, this is always the asumption.
Perfectly explained! Thanks
Thanks. Glad you liked my explanation.
Great explanation for linearity in a system
This is really impressive. Nice work
Thanks for the compliment.
thank you for making me live math.. you don't just instruct, you let me experience
Thanks.
😊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...🙏🙂👌👌
Thanks. I am glad you like my videos.
@Physics Videos by Eugene Khutoryansky
How about taking gravity out of picture in the ball, hill & valley example? I guess equilbrium is a relative term.
this channel is groundbreaking
Thanks.
Amazing graphic explanation!!
Thanks.
Eugene Khutoryansky You make some sweet videos with awesome animations! However, I'm going to be a critic on this one because you did some things that could trip people up easily.
The rest of this comment is addressed to Eugene, but it is really for the people who watched the video, got lost, but feel they shouldn't have. At 11:14, the axes changed to x1, x2, so that you were dealing with a 2x2 system of linear ODEs of the form (dx_1/dt; dx_2/dt) = A(x_1; x_2) instead of a 1x1. I did not notice that at first, so I was confused until I noticed the change. At 12:20, you could've explained how all linear combinations of the eigenvectors represent all states. Finally, starting at 16:46, even though you explicitly stated you were only showing a solution corresponding to one variable, it would have been better, in my opinion, to show all of the components of the solution on separate graphs. I imagine some people got immediately confused because it only showed one component (in this case the blue vector) of the solution. Technically, the blue vector you show is not the vector with eigenvalues (1/2)i and (-1/2)i. An eigenvector must contain all the variables of the system. The only other criticism I have is it would have helped students more effectively if you had shown more equations that explicitly show the things you were referring to. Other than that, you produced a very good and accurate video for people to learn from.
Respectfully,
James W
Beautiful video!
Thanks. I am glad you liked my video.
The music is also excellent.
Superb as always!
Thanks for the compliment.
very clear explanation. thank you very much.
Thanks. I am glad you liked my explanation.
superb content........ as always
Thanks for the compliment.
The Legend
You are the best man,thank you for your work!
Thanks. I am glad you liked my video.
It was a very useful explanation. Thank's.
Glad you liked my explanation. Thanks.
too much love for your video...thank you
Glad you liked my video.
the most wanted topic
You are simply awesome. I wanna get more video on mathematics.
Thanks. More videos on all topics, including mathematics, are on their way.
at 8:35 you say that the rate in change of the state can be represented by a vector. (White arrow) This vector is also changing? And can THAT change in vector be represented by another vector? Do these vectors have names? (Like the change in velocity is called acceleration and the change in acceleration is called a jerk?)
Math becomes intuitive once you realize what it represents! I didn't like math until I started learning physics. Have you considered tackling the Einstein Field Equations? The visualizations of tensors and differential geometry would make the scary looking math click for so many people.
Yes, I would like to eventually do a video on Einstein's Field Equations. Thanks.
you make the complicated seem simple
Thanks.
Every curious person seek for contents like these for free.
I love this channel
I am glad to hear that. Thanks.
Excellent information! Thank you! Looking forward to more:)
Your videos are extraordinary, you are a specialist ! :)
Thanks for the compliment. I am glad you like my videos.
They are awesome, we are waiting for more videos, smart people always love physics ! :)
another amazing video!
Thanks. I am glad you liked it.
Great explanation
Thanks for the compliment. I am glad you liked it.
So can we think about equilibrium points on terms of energy needed to cause a change? A non-equilibrium point would require energy to _stop_ the ball from moving, a non-stable equilibrium point would require very little energy to cause it to move and a stable point would require more energy to get it moving.
This was awesome. Do you also have a Lyapunov stability direct method video like this?
absolutely LOVE your videos, keep it up!
@4:06 this is like when you have a 2nd order differential equation where the auxiliary equation has 2 complex roots: both with a positive real part
Yeah Like underdamped vibrations
Amazing video! At first it looks simple but increases in complexity rapidly D:
Glad you liked my video.
Great video and the greatest chanell about science. Your visualisations of differents phenomena of the nature, of laws of physics, of мathematical equations are very understandable and intelligible. Many concepts have become more clear for me. Your job is the art of education! If you can please make video abour automatic control systems
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.
amazing video congratulations
Glad you liked it. Thanks.
I figure I am now far enough beyond the best part being long gone to want to know the name of the tune that goes with this video (rather than only take it for granted). But as far as I have mostly gotten lately is stacks of strings of memory cells could have made a kid seem cool enough to find a girl while the above statement was far enough in the future not to worry about much. Another topic to consider is how this thing that seems to skip a beat can count and can be used to switch which of two memory cells is connected to the input of what its now part of and which output the (memory cells) are connected to as well as erasing one on time to use it to memorize what's at the input next. And how that memorizing , switching , erasing concept has other uses as well . Other than that these videos with their elevating etc. images set to that kind of music and the way the narrator speaks are really pieces of work to be admired.
Well, the "heavy object on a rubber sheet" analogy is okay as far as it goes. It allows us to visualize *_one_* tiny slice of how gravity is affecting space around the object. The problem is, that all of the space around the object _cannot_ be visualized. Never mind.
best channel
Thanks for the compliment.
just perfect explanation :)
finally back!
Thank you. This is very helpful.
You are welcome and thanks.
Mind blowing!
Thanks. Glad you liked my video.