Linearization of a system of 40 Non-linear ODEs for a model and obtain ABCD state-space matrix

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Darshna Joshi 2021-8-2

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https://ww2.mathworks.cn/matlabcentral/answers/890612-linearization-of-a-system-of-40-non-linear-odes-for-a-model-and-obtain-abcd-state-space-matrix

评论： Paul 2021-8-7

Hey,

I have a system of 40 non-linear ODEs. I want to find Jacobian matrix for the same. How to Linearize the model? As it contains mass-action kinetics as well as Michaelis-menten kinetics structure? Any suggestions in this regard is appreciated.

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Darshna Joshi 2021-8-7

编辑：Darshna Joshi 2021-8-7

I want to find the best values of combinations of my inputs (There are 3 inputs) that will give me the maximum output. As i have a whole non-linear differential equation model, i don't know how to proceed with that ODEs. @darova

Paul 2021-8-7

@Darshna Joshi

Can you provide a bit more insight into the form of the equations? For example, are they in the form of:

xdot(t) = f(x(t))

where x and xdot are 40 x 1? Do you have an m-function that can evaluate f()? Or maybe f() has some symbolic parameters? A few more details on the form of the equations will be helpful; a small order example would be even better.

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