Is there any theory on constructing reachable sets for non-linear systems with constant control without increasing the dimensionality of the problem?

Consider the following system:  dx/dt=f(t,x(t),u) in [t0,t1], where x(t0) is from X0, u is from U.  The value for u is set at t0 and does not change in time. I would like to find the reachable set...

15 July 2016 8,645 12 View