How to predict the output of a known linear system?

Hello forum, in my workspace I have a linear MIMO (2x2) system (state space model, A, B, C and D matrices). I would design two drives, D1 and D2 (sinusoidal function, if possible with a swept frequency), so that the time response of this system is similar to a defined shape, for example a sinusoidal signal with constant amplitude. Do you have any idea of how to do it?

[M]

You have a linear system and you want to choose the right input to get the desired output ?

[Alessandro Longo]

Yes, exactly!