How do I know whether my MCU will be able to handle a model predictive control application for a physical system?

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I have a system in which I need to apply model predictive control to. I have all the state space parameters of the system defined, so I know how big all my matrices are. Is it possible to determine, without coding anything, whether model predictive control can run on my specific microcontroller? I dont want to begin coding only to realise that it will not work later on.

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