Trajectory tubes for impulsive control problems

The paper deals with the state estimation problem for impulsive dynamical system described by differential inclusions containing measures. The problem is studied under uncertainty conditions with set-membership description of uncertain variables which are taken to be unknown but bounded with given bounds [4, 7, 8, 9]. Such problems arise from mathematical models of dynamical and physical systems for which we have an incomplete description or a loose mode of time dependence of their generalized coordinates. The techniques of construction the trajectory tubes and their crossections that may be considered as set-valued state estimates to differential inclusions with measure terms is studied based on dynamic programming theory results.