Linear interval observers under delayed measurements and delay-dependent positivity

Abstract : New interval observers are designed for linear systems with time-varying delays in the case of delayed measurements. Interval observers employ positivity and stability analysis of the estimation error system, which in the case of delayed measurements should be delay-dependent. New delay-dependent conditions of positivity for linear systems with time-varying delays are introduced. Efficiency of the obtained solution is demonstrated on examples.
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Denis Efimov, Emilia Fridman, Andrey Polyakov, Wilfrid Perruquetti, Jean-Pierre Richard. Linear interval observers under delayed measurements and delay-dependent positivity. Automatica, Elsevier, 2016. ⟨hal-01312981⟩

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