Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems Under Ellipsoidal State Bounds and with Cone Constraint on the Control

Abstract

The problem of estimating reachable sets of linear impulsive dynamical control systems with uncertainty in initial data is considered. It is assumed that the impulsive controls in the dynamical system belong to the intersection of a special cone with a generalized ellipsoid both taken in the space of functions of bounded variation. The algorithms for constructing the ellipsoidal estimates of reachable sets for such control systems are given. Numerical simulation results relating to the proposed procedures are also given.