Regarding using Algebraic methods instead of using Numerical methods in control system plots.

[ABHISHEK KUMAR]

I'm Abhishek Kumar, a pre-final year student pursuing a BTech in Electronics and Communication Engineering from the National Institute of Technology Delhi. I have actively contributed actively to SymPy since last month. I studied control systems in my Second Year, and I understand the subject well.

For Gsoc, I've to complete a good proposal. I think I should work mainly on refactoring Old Plots and Including some new plots in the SymPy Control module.

I've gone through this year's Plan for Gsoc 2024. I've doubts about how we can use Algebraic Methods instead of Numerical methods to plot in Control. You have mentioned the work of this repo

https://github.com/Davide-sd/sympy-plot-backends and mentioned the use of the `plot_list` function to use Algebraic Methods with ease.

Sir, Can you provide more information or examples of how I can use this function to do the plots algebraically?

Any suggestions or help you can give me will be very helpful.

Sincerely

Abhishek Kumar 

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Github: https://github.com/abhiphile

Email: abhishek...@gmail.com

[Sangyub Lee]

> I've doubts about how we can use Algebraic Methods instead of Numerical methods to plot in Control. You have mentioned the work of this repo

Hi, I’m not sure if you are expecting someone specific to answer the question, however, to give a general answer, I think that it is expected to find a method to draw some algebraic function with the graphics. However, regarding this, however, I think that plot_list looks like misguided approach for me. Plotting a list of points, for example, is not more effective than how matplotlib does. However, it may specifically refer to using plot_implicit, or some other methods to plot contours (to appear). So you may look at it.

I’d also note that some basic understanding of computer graphics, like Marching Cubes, can be helpful to fill the idea.

However, neither do I claim to be expert about the topic, so I’m not 100% sure that can be outdated, however, it was at least helpful for me when I was working with some other projects for mathematical visualization, or to get more insight on using matplotlib contour for example.