Reachable Sets for a Class of Nonlinear Impulsive Control Systems
This paper deals with the state estimation problem for uncertain dynamical control systems with a special structure
described by differential equations with impulsive control under bilinear uncertainty and with uncertainty in initial states.
The matrix included in the differential equations of the system dynamics is uncertain but bounded.
The bounds of admissible values of this matrix coefficients are known.
The algorithms for constructing external ellipsoidal estimates of reachable sets for such bilinear uncertain systems are presented here.