🚀 go-pugleaf

Hi;

I'm trying to estimate the parameters of a fairly simple classical control
system.  There are n parallel systems each of which is a simple second
order system using the same paramters (ie, all n systems have identical
parameters).  The inputs to these systems are known, but the outputs
are not, rather what I have is a stream of data showing the identity of
the system that had the highest output at that time.  From this data
I hope to find out the parameters.  Has anyone any suggestions as to
where I might look to find out how to do it?  Or better yet, has anyone
any idea of how it might be done.  Oh, and for the curious, this is a
model of a consumer choice process where the data is the purchased
brand and timing and the inputs are the pertinent marketing variables
for each of n products.

Any help would be greatly appreciated.

Chris Dubelaar