I am currently writing my thesis about the stability of cooperative adaptive cruise control. I want to use lyapunov for the global stability analysis of my system. There are so many videos only explaining the broad concept of lyapunov stability, but this video actually gave me the insight to use lyapunov analysis myself. I will be executing lyapunov analysis on a large state-space model instead of simpler equations, but this video helps me to get closer to my research goal. Thanks you very much!
Sir, please make a video on "Sensitivity Analysis" of a system of odes using MATLAB-Simulink and call the system of differential equations from matlab.m file by Interpreted MATLAB function. I'm also saying about the calling of function from matlab.m file into Simulink because it is very easy to call a system rather than making a full Simulink diagram in Simulink. If you use a "Couple Dynamic System" then it would be much better! Thank you so much, sir!
@@Sinanmmd That video is using a pretty complex set of built in MATLAB functions. If I were to do it I would simply make a function y = f(x) and vary x with some mean and standard deviation such that x = x0 + N(xmean,stdx) and then make a histogram of y = y0 + N(ymean,stdy)
Dear Sir How are you? Hope you are good and healthy. I have a model SIR from the spread of diphtheria disease with vaccination and I achieve linearization of the model through the Lyapunov function that was built using the Krasovskii method but actually I didn't know how to check the global stability of the model using the Lyapunov stability theorem was built using the Krasovskii in MATLAB method Will you, if possible help me in this problem, please. Thank you
Problems like that always involve hand calculations first. I think before you try and code anything it would be wise to make sure you can set up the problem by hand first.
You'd have to start with writing the equations of motion and then finding a suitable lyapunov function that captures the dynamics. I'm sure a simple search on Google Scholar will turn something up
I am currently writing my thesis about the stability of cooperative adaptive cruise control. I want to use lyapunov for the global stability analysis of my system. There are so many videos only explaining the broad concept of lyapunov stability, but this video actually gave me the insight to use lyapunov analysis myself. I will be executing lyapunov analysis on a large state-space model instead of simpler equations, but this video helps me to get closer to my research goal. Thanks you very much!
Thank you very much for this vedio. I have waited since 2014... Now only I got this... Excellent...
Thank you so much, sir, for this type of video. This is very kind of you!
hello sir , I used this video to do the stabiility the same steps ...
I believe this is the code github.com/cmontalvo251/MATLAB/blob/master/nonlinear_controls/lyap_ex.m
How to plot the Lyapunov function for a system of three variables?
I just made a new video for stuff like this. Let me know what you think
ua-cam.com/video/wCLSXqP7J3g/v-deo.html
Sir, please make a video on "Sensitivity Analysis" of a system of odes using MATLAB-Simulink and call the system of differential equations from matlab.m file by Interpreted MATLAB function.
I'm also saying about the calling of function from matlab.m file into Simulink because it is very easy to call a system rather than making a full Simulink diagram in Simulink. If you use a "Couple Dynamic System" then it would be much better!
Thank you so much, sir!
I'm not sure what you mean by sensitivity analysis.
@@CarlosMontalvo251 Please watch this video. But this is based on the Simulink model.
ua-cam.com/video/hNweoL4l97w/v-deo.html
@@Sinanmmd That video is using a pretty complex set of built in MATLAB functions. If I were to do it I would simply make a function y = f(x) and vary x with some mean and standard deviation such that x = x0 + N(xmean,stdx) and then make a histogram of y = y0 + N(ymean,stdy)
Dear Sir How are you? Hope you are good and healthy. I have a model SIR from the spread of diphtheria disease with vaccination and I achieve linearization of the model through the Lyapunov function that was built using the Krasovskii method but actually I didn't know how to check the global stability of the model using the Lyapunov stability theorem was built using the Krasovskii in MATLAB method Will you, if possible help me in this problem, please. Thank you
Problems like that always involve hand calculations first. I think before you try and code anything it would be wise to make sure you can set up the problem by hand first.
hii can you do lyapunov stability analysis of quadrotor pls?
You'd have to start with writing the equations of motion and then finding a suitable lyapunov function that captures the dynamics. I'm sure a simple search on Google Scholar will turn something up
Hello please you can make a code for mkdv equation
I am not familiar with this equation
Sorry mate, I can't find the code, can you help me?
Sorry dude. Here you go. github.com/cmontalvo251/MATLAB/tree/master/nonlinear_controls
That's a folder containing lots of nonlinear controls codes. Look for the lyap*.m codes
do you have any real application implement lyapunov function
Are you looking for some paper recommendations?
Code please
All functions are on github.com/cmontalvo251/MATLAB this one in particular is in a folder called nonlinear_controls