State Space control dervatives of input in B matrix.

[controlboy]

Hi guys,
I am trying to put a series of differential equations into sate space form. The problem that I have come up against is that I end up with a differential in my B term (control matrix) and I am unsure of how to deal with this. Is there an easy way of doing this? Does anyone have any links that could explain how to solve this?

Thanks

 

[omkar13]

put those equations so that it can be understood easily.