%0 Journal Article %T Exact bounded-error continuous-time linear state estimator %+ Equipe ROBotics for EXploration (Lab-STICC_ROBEX) %+ École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne) %A Rohou, Simon %A Jaulin, Luc %< avec comité de lecture %@ 0167-6911 %J Systems and Control Letters %I Elsevier %V 153 %P 104951 %8 2021-07 %D 2021 %R 10.1016/j.sysconle.2021.104951 %K Uncertainty analysis %K Dynamical systems %Z Computer Science [cs]/Automatic Control Engineering %Z Engineering Sciences [physics]/AutomaticJournal articles %X This paper proposes an interval-based method for estimating the state of a linear continuous-time dynamical system. In this work, we assume that the measurements are provided at discrete times and that all errors are bounded. Interval analysis is used to propagate the interval uncertainties continuously over time. The resulting method is guaranteed to never lose any feasible solution and provides an optimal polygonal enclosure of the state trajectory. A reproducible example illustrates the principle of the method. %G English %2 https://ensta-bretagne.hal.science/hal-03242585/document %2 https://ensta-bretagne.hal.science/hal-03242585/file/linobs_paper.pdf %L hal-03242585 %U https://ensta-bretagne.hal.science/hal-03242585 %~ UNIV-BREST %~ INSTITUT-TELECOM %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ ENSTA-BRETAGNE-STIC %~ ENIB %~ LAB-STICC %~ TDS-MACS %~ INSTITUTS-TELECOM %~ TEST-HALCNRS %~ ANR %~ LAB-STICC_ROBEX