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
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!
Stable, unstable and marginally stable explained through eigenvalues altered my entire perception of control systems. Extremely grateful for your videos.
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
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. By the way, if you subscribe to my channel, you can set up your RU-vid 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 RU-vid; You always keep impress us with your videos ! Thanks for this great video and for all of your work.
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
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!
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.
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
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?
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! :)
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 !
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ru-vid.com_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.
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....
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
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.
😊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 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.
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.
Awesome videos and awesome content, what could one do to thank you. All I could do is hit on like, subscribe and quote a comment of thanks. Thank you very much for your effort... Keep explaining all the mathematical equations physically, what they really mean & let the world know they are not just for playing by substituting numbers..
@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.
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.
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.
Sir, you are yet to do a video on sound waves or transverse waves. You could animate particles moving as waves showing the compression and rarefication. I never could vizualize standing waves and beats phenomena happening as sound. You could also animate how an organ pipe works.
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.
Are you a telecommunication engineer or have any relation whith it? All the stuff in this channel (Calculus, Algebra, Physics, Electric Circuits , Electromagnetism, Fourier Analysis... etc) is completly related whith this carreer (which im studing). Im just curious to know :P I love your videos by the way! you do such a great work and it helps me a lot whith my studies. Keep it up!
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.
If we have a system where d/dt (x,y) = (y,0) is that unstable because any point (a,0) is an equilibrium: however if we start at (a,epsilon), then we will move infinitely far away from (a,0)
thank you very much about these videos really you helped me understand physics i v watched probably all of them and honestly you are the best but i have a question what are your next topics and when?
