The problem of constructing reachable domains (RDs) of a non-linear co
ntrol system functioning over a finite time interval is considered. A
method is proposed for the approximate construction of RDs, based on p
artitioning the phase space of the system by an E-lattice. Estimates a
re obtained for the accuracy of the approximate RDs. An example is pre
sented. (C) 1998 Elsevier Science Ltd. All rights reserved.