On the Distinguishability of Positive Linear Time-Invariant Systems with Affine Parametric Uncertainties
Abstract
Studies of distinguishability have focused on the case of Linear Time-Invariant systems without uncertainties. In this work, distinguishability is studied for Positive Linear Time-Invariant systems with a ffine parametric uncertainties in the state space model. We propose a de nition of distinguishability adapted to this new context and give a characterization of this notion. The approach used is based on the estimate of the reachable output space of the systems. Under suitable assumptions, a suffi cient condition for distinguishability is established
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