In this article a novel approach to the determination of polytopic invariant sets for constrained discrete-time linear uncertain systems is presented. First, the problem of stabilizing a prespecified initial condition set in the presence of input and state constraints is addressed. Second, the problem of computing an estimate of the maximal positively invariant or controlled invariant set for this class of systems is investigated. An illustrative example, showing the effectiveness of the proposed methods, is presented.
Athanasopoulos, N., & Bitsoris, G. (2010). Invariant set computation for constrained uncertain discrete-time linear systems. In Proceedings of the 49th IEEE Conference on Decision and Control IEEE . https://doi.org/10.1109/CDC.2010.5717500