Wow you actually took quality time to explain this to me and I appreciate because I now understand it much more better
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Thank you for your kind words. It wasn't easy trying to discuss the process of creating a dynamic model. These are topics that are primarily developed in the fields of engineering and automation design. A dynamic system, in its most common form, can be written in matrix form, subdividing it as in the image below.
x= are the states
u= are the inputs
y= are the outputs
!hiqvote