Localization of Invariant Compact Sets for Continuous Systems with Uncertainties

Abstract

We analyze the method of localization of invariant compact sets in the case where the right-hand side of an autonomous system includes an uncertainty. We consider two cases depending on the current state of an autonomous system: the uncertainty on the right-hand side of the system is expressed by a constant parameter or a parameter varying in time. It is shown that a localizing set constructed in the first case is also a localizing set in the second case.