Abstract
The aim of this paper is to provide a tool for an analysis of the asymptotic behaviour (in shorts asymptotic analysis) of dynamical systems. I shall use a discrete time,state space description of the system (cf. section 1). Let us assume that some properties of the asymptotic behaviour of a particular system are expected on heuristic grounds — a situation that may arise in two different ways: 1) The behaviour of the system has been observed thoroughly for a long time, 2) The system has been designed to achieve a certain goal asymptotically.
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