Constraints Admissible Invariant Sets for a Class of Uncertain Systems

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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 nom-final 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.
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