Cones of trajectories as subsets of linear systems: the autonomous case
نویسنده
چکیده
Abstract In this paper we introduce the concept of conical behaviour, a complete time invariant cones of trajesctories. We focus our attention on the cones as subsets of autonomous linear system. We give geometrical conditions that such cones admit a non negative state realization. In addition we consider the closed sets of trajectories of a autoregressive scalar model on wich are imposed inequalities constraints. We provide some criteria for a class of these cones to be represented by a non negative state realization.
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