Solving mpc (model predictive control) on a microprocessor

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I have a linear model dx/dt = Ax + Bu And I want to use model predictive control to control it. The sampling time is 100 microseconds and x is a vector with length 5 and u is a vector with length 6. Now I wanted to know if it is possible to implement this type of controller in a microcontroler ( with the horizon equal to 10)?