REMARKS ON UNIVERSAL NONSINGULAR CONTROLS FOR DISCRETE-TIME-SYSTEMS

For analytic discrete-time systems, it is shown that uniform forward a ccessibility implies the generic existence of universal nonsingular co ntrol sequences. A particular application is given by considering forw ard accessible systems on compact manifolds. For general systems, it i s proved that the complement of the set of universal sequences of infi nite length is of the first category. For classes of systems satisfyin g a descending chain condition, and in particular, for systems defined by polynomial dynamics, forward accessibility implies uniform forward accessibility. (C) 1998 Elsevier Science B.V. All rights reserved.