GLOBAL STABILIZATION OF LINEAR DISCRETE-TIME-SYSTEMS WITH BOUNDED FEEDBACK

This paper dears with the problem of global stabilization of linear di screte time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less than or equal to one. The proof provi des in principle an algorithm for the construction of such feedback la ws, which can be implemented either as cascades or as parallel connect ions (''single hidden layer neural networks'') of simple saturation fu nctions. (C) 1997 Elsevier Science B.V.