The maximal output admissible set for a class of uncertain systems

This paper is concerned with obtaining necessary and sufficient conditions for fulfilling specified state and control pointwise-in-time constraints of systems with unknown but norm bounded uncertainties. The results are generalizations of the maximal output admissible set theory to the case of a certain class of uncertain systems. The uncertain systems investigated in this paper are written in terms of linear fractional transformations of nominal dynamics and admissible perturbations. A set of admissible perturbations consists of stable, time varying, memoryless and possibly nonlinear operators. This paper proves that a finite characterization of the maximal output admissible set is possible.