Reachable Sets Analysis-An Efficient Technique for Performing Missile/Sensor Tradeoff Studies

mXT = /T(xT,t,p) + wr,P[xr(t0)] known v ' where xlfxr are the interceptor and target state vectors, u is the interceptor control vector, we(7(p,x/), p is a vector of system parameters, U(p,Xi) is the set of allowable interceptor controls, t represents time, t0 is the initial time, WT, w/ are noise processes, and P[-] represents an a priori probability density. The noise terms VVT and w/ are introduced to approximate the actual effects of uncertainties in the vehicle dynamic equations. The process by which information is gathered about the vehicle states is described by the measurement equations