Reachability Analysis of Large-Scale Affine Systems Using Low-Dimensional Polytopes

This paper presents a method for computing the reach set of affine systems for sets of initial states given as low-dimensional polytopes. An affine representation for polytopes is introduced to improve the efficiency of set representations. Using the affine representation, we present a procedure to compute conservative over-approximations of the reach set, which uses the Krylov subspace approximation method to handle large-scale affine systems (systems of order over 100).